Firdaus Udwadia: Selected Recent Publications in Science & Engineering    

For a more extensive list of publications see: Google Scholar

• Udwadia, F. E., and Bulatovic, R.M., "Uncoupling of Linear Multi-degree-of-Freedom Damped Gyroscopic Potential Systems," Journal of Applied Mechanics, Vol. 91, 041007, pp. 1-5, 2024. DOI: 10.1115/1.4064127 PDF
• Bulatovic, R.M., and Udwadia, F. E., "Decomposition and Uncoupling of Multi-degree-of-Freedom Gyroscopic Conservative Systems," Journal of Applied Mechanics, Vol. 91, 031003, pp. 1-10, 2024. DOI: 10.1115/1.4063504 PDF
• Udwadia, F. E., "The General Gauss Principle of Least Constraint," Journal of Applied Mechanics, Vol. 90, 111006, pp. 1-8, 2023. DOI:10.1115/1.406288 PDF
• Udwadia, F. E., and Mogharabin, N., "An Alternative Formulation of the Fundamental Equation of Motion for Systems with Singular Mass Matrices," Journal of Applied Mechanics, Vol. 90, 031008, pp. 1-8, 2023. DOI:10.1115/1.4056293 PDF
• Stefano, L., and Udwadia, F. E., "Suppression of Overshoots and Undershoots in Nonlinear Structural and Mechanical Systems," Acta Mechanica, pp. 1-16, 2022. DOI: 10.1007/s00707-022-03420-2 PDF
• Udwadia, F. E., and Bulatovic, R., "Stability of Multidegree of Freedom Potential Systems to General Infinitesimal Positional Perturbations," Journal of Applied Mechanics, Vol. 89, 111004, pp. 1-10, 2022. DOI: 10.1115/1.4055305 PDF
• Udwadia, F.E., and Mogharabin, N., "New Directions in Modeling and Computational Methods for Complex Mechanical Dynamical Systems," Processes, Vol. 10, 1560, pp. 1-33, 2022. DOI: 10.3390/pr10081560 PDF
• Udwadia, F. E., "Control of Nonhyperbolic Dynamical Systems Through Center Manifold Control," Nonlinear Approaches in Engineering Application, Dai L., and Jazar R., Eds., Chapter 3, Springer, pp. 69-86, 2022. PDF
• Udwadia, F. E., "When does a Dual Matrix have a Dual Generalized Inverse?," Symmetry, Vol. 13, No. 6, 1386, pp. 1386-1:1386-28, July 2021. DOI : 10.3390/sym13081386 PDF
• Udwadia, F. E., and Mogharabin, N., "The Use of Zero-Mass Particles in Analytical and Multibody Dynamics," Journal of Applied Mechanics, Vol. 88, 121006, 121006-1:121006-10, Dec. 2021. DOI : 10.1115/1.4052002 PDF
• Udwadia, F. E., "Dual Generalized Inverses and their Use in Solving Systems of Linear Dual Equations," Mechanisms and Machine Theory, Vol. 156, No. 104158, pp. 1-25, 2021. DOI : 10.1016/j.mechmachtheory.2020.104158 PDF
• Bulatovic, R. M. and Udwadia, F. E., "On the Stability and Instability of Linear Potential Systems Subjected to Infinitesimal Circulatory Forces," Proceedings of the Royal Society of London, Series A, Vol. 477, 20200954, pp. 1-15, 2021. DOI : 10.1098/rspa.2020.0954 PDF
• Bulatovic, R. M. and Udwadia, F. E., "On the Generalization of Merkin’s Theorem for Circulatory Systems: A Rank Criterion," Journal of Applied Mechanics, 2021-01-01, Vol. 88, No. 1, pp. 1-21, 2021. DOI : 10.1115/1.4048315 PDF
• Udwadia, F. E., "Exponential Stability of Gyroscopically Stabilized Multi-Degree-of-Freedom Unstable Potential Systems Using Linear Damping," AIAA Journal, Vol. 58, No. 10, pp. 4548-4562, 2020. DOI : 10.2514/1.J059434 PDF
• Udwadia, F. E., "Piecewise Constant Response of Underdamped Oscillators through Suppression of Overshoots and Undershoots in Aerospace, Civil, and Mechanical Systems," Acta Mechanica, Vol. 231, pp. 1357-1382, 2020. DOI : 10.1007/s00707-020-02692-w PDF
• Udwadia, F. E. and Bulatovic, R., "Stability of Potential Systems to General Positional Perturbations," AIAA Journal, Vol. 58, No. 9, pp. 4106-4116, 2020. DOI : 10.2514/1.J059241 PDF
• Udwadia, F. E., Pennestri, E., and de Falco, D., "Do All Dual Matrices have Dual Moore-Penrose Inverses?" Mechanism and Machine Theory, Vol. 151, 103878, pp. 1-16, 2020. DOI : 10.1016/j.mechmachtheroy.2020.103878 PDF
• Cho, H., Udwadia, F. E., and Wanichanon, T., "Autonomous Precision Control of Satellite Formation Flight under Unknown Time-Varying Model and Environmental Uncertainties," Journal of Astronautical Sciences, Vol. 67, No. 4, pp. 1470-1499, 2020. DOI : 10.1007/s40295-020-00233-0 PDF
• Udwadia, F. E., "Does the Addition of Linear Damping Always Cause Instability in Gyroscopically Stabilized Systems?" AIAA Journal, Vol. 58, No. 1, pp. 372-384, 2020. DOI : 10.2514/1.J058418 PDF
• Udwadia F. E., "Stability of Gyroscopic Circulatory Systems," Journal of Applied Mechanics, Vol. 86, pp. 021002-1-021002-6, 2018. DOI: 10.1115/1.4041825 PDF
• Cho H., T. Wanichanon, F. E. Udwadia, "Continuous Sliding Mode Controllers for Multi-Input Multi-Output Systems," Nonlinear Dynamics, Vol. 94, pp. 2727-2747, 2018. DOI: /10.1007/s11071-018-4521-6. PDF
• de Falco, D., Pennestrì, E., and Udwadia, F.E., "On Generalized Inverses of Dual Matrices," Mechanism and Machine Theory, Vol. 123, pp. 89-106, 2018. DOI: https://doi.org/10.1016/j.mechmachtheory.2017.11.020 PDF
• Guha, A., and Udwadia, F.E., "Nonlinear dynamics induced by linear wave interactions in multilayered flows," J. Fluid Mech., Vol. 816, pp. 412-427, 2017. DOI:10.1017/jfm.2017.84 PDF
• Udwadia, F.E., "Stability of Dynamical Systems with Circulatory Forces, Generalization of the Merkin Theorem," AIAA Journal, Vol. 55, No. 9, pp. 2853-2858, 2017. DOI: 10.2514/1.J056109 PDF
• Koganti, P.B. and Udwadia, F.E., "Dynamics and Precision Control of Uncertain Tumbling Multi-body Systems," Journal of Guidance, Control, and Dynamics, Vol. 40, No. 5, pp. 1177-1190, 2017. DOI: 10.2514/1.G002212 PDF
• Koganti, P.B. and Udwadia, F.E., "Dynamics and Precision Control of Tumbling Multibody Systems," Journal of Guidance, Control, and Dynamics, Vol. 40, No. 3, pp. 584-602, 2017. DOI: 10.2514/1.G000633 PDF
• Udwadia, F.E., "Lagrangians and Integrals of Motion for Multi-Degree-of-Freedom Linear Systems with Gyroscopic and Circulatory Forces," AIAA Journal, Vol. 55, No. 9, pp. 3196-3205, 2017. DOI: 10.2514/1.J055777 PDF
• Udwadia, F.E., "Inverse Problem of Lagrangian Mechanics for Classically Damped Linear Multi-degree-of-freedom Systems," Journal of Applied Mechanics, Vol. 83, 104501, pp. 1-4, 2016. DOI: 10.1115/1.4034012 PDF
• Udwadia, F.E., and Koganti, P.B., "Unified Approach to Modeling and Control of Rigid Multibody Systems," Journal of Guidance, Control, and Dynamics, Vol. 39, No. 12, pp. 2683-2698, 2016. DOI: 10.2514/1.G000272 PDF
• Udwadia, F.E., "Constrained motion of Hamiltonian systems," Nonlinear Dynamics, Vol. 84, pp. 1135-1145, 2016. DOI: 10.1007/s11071-015-2558-3 PDF
• Udwadia, F.E., and Koganti, P.B., "Optimal stable control for nonlinear dynamical systems: an analytical dynamics based approach," Nonlinear Dynamics, Vol. 82, pp. 547-562, 2015. PDF
• Udwadia, F.E., and Mylapilli, H., "Energy control of nonhomogeneous Toda lattices," Nonlinear Dynamics, Vol. 81, pp. 1355-1380, 2015. PDF
• Udwadia, F.E., and Koganti, P.B., "Dynamics and Control of a Multi-body Planar Pendulum," Nonlinear Dynamics, Vol. 81, pp. 845-866, 2015. PDF
• Udwadia, F.E., and Mylapilli, H., "Energy Control of Inhomogeneous Nonlinear Lattices", Proceedings of the Royal Society of London, Series A, Vol. 471, pp. 20140694, 2015. PDF
• Udwadia, F.E., and Mylapilli, H., "Constrained Motion of Mechanical Systems and Tracking Control of Nonlinear Systems: Connections and Closed-form Results.",  Nonlinear Dynamics and Systems Theory, Vol. 15, No. 1, pp. 73-89, 2015. PDF
• Udwadia, F.E., Wanichanon, T., and Cho, H., "Methodology for Satellite Formation-Keeping in the Presence of System Uncertainties.", Journal of Guidance, Control, and Dynamics, Vol. 37, No. 5, pp. 1611-1624, 2014. PDF
• Udwadia, F.E., Koganti, P.B., Wanichanon, T., and Stipanovic, D.M., "Decentralised control of nonlinear dynamical systems.",  International Journal of Control, Vol. 87, No. 4, pp. 827-843, 2014. PDF
• Udwadia, F.E., "A New Approach to Stable Optimal Control of Complex Nonlinear Dynamical Systems", Journal of Applied Mechanics, 2013, DOI: 10.1115/1.4024874 PDF
• Udwadia, F.E. and Cho, H., "First Integral and Solutions of Duffing-van der Pol Type Equations", Journal of Applied Mechanics, 2013, DOI: 10.1115/1.4024673 PDF
• Udwadia, F.E., and Wanichanon, T., "On General Nonlinear Constrained Mechanical Systems", Numerical Algebra, Control and Optimization, Vol. 3, No. 3, Sept. 2013, pp. 425-443, DOI: 10.3934/naco.2013.3.425 PDF
• Udwadia, F.E., and Wanichanon, T., "Control of Uncertain Nonlinear Multi-body Mechanical Systems", Journal of Applied Mechanics, 2013, DOI:10.1115/1.4025399 PDF
• Cho, H., and Udwadia, F.E., "Explicit Control Force and Torque Determination for Satellite Formation-Keeping with Attitude Requirements", Journal of Guidance, Control and Dynamics, Vol. 36, No. 2, pp. 589-605, 2013. DOI: 10.2514/1.55873 PDF
• Udwadia, F.E., and Cho, H., "Lagrangians for Damped Linear Multi-Degree-of-Freedom Systems", Journal of Applied Mechanics, 1, 441, 2012, DOI:10.1115/1.4023019 PDF
• Udwadia, F.E., and Schutte, A.D., "A Unified Approach to Rigid Body Rotational Dynamics and Control", Proceedings of the Royal Society of London, Series A, Vol. 468, pp. 395-414, 2012. PDF
• Udwadia, F.E., Leitmann, G., and Cho, H., "Some Further Remarks on Hamilton's Principle", Journal of Applied Mechanics, Vol. 78, pp. 011014-1 to 011014-4, 2011. PDF
• Udwadia, F.E., "On the Longitudinal Vibrations of a Bar with Viscous Boundaries: Super-stability, Super-instability, and Loss of Damping", International Journal of Engineering Science, Volume 50, Issue 1, Pages 79-100, January 2012. PDF
• Schutte, A.D., Udwadia, F.E., "New Approach to the Modeling of Complex Multibody Dynamical Systems", Journal of Applied Mechanics, Vol. 78, pp. 021018-1 to 021018-11, 2011.PDF
• Udwadia, F.E., Massa, G.D., "Sphere Rolling on a Moving Surface: Application of the Fundamental Equation of Constrained Motion", Simulation Modelling Practice and Theory, Volume 19, Issue 4, Pages 1118-1138, April 2011.PDF
• Udwadia, F.E., Schutte, A.D, "Equations of Motion for General Constrained Systems in Lagrangian Mechanics", Acta Mechanica, Vol. 213, pp. 111-129, Feb. 2010. PDF
• Cho, H., Udwadia, F.E., "Explicit Solution to the Full Nonlinear Problem for Satellite Formation-Keeping", Acta Astronautica, Vol. 67, pp. 369-387, 2010. PDF
• Udwadia, F.E., Schutte, A.D, "An Alternative Derivation of the Quaternion Equations of Motion for Rigid-Body Rotational Dynamics", Journal of Applied Mechanics, Vol. 77, 044505, pp. 1-4, 2010. PDF
• Udwadia, F.E., and Wanichanon, T., "Hamel's Paradox and the Foundations of Analytical Dynamics", Applied Mathematics and Computations, Vol. 217, pp. 1253-1263, 2010. PDF
• Waters, M.S., El-Naggar, M.Y., Hsu, L., Sturm, C.A., Luttge, A., Udwadia, F.E., Cvitkovitch, D.G., Goodman, S.D., and Nealson, K.H.,"Simultaneous Interferometric Measurement of Corrosive or Demineralizing Bacteria and Their Mineral Interfaces", Applied and Environmental Microbiology, Vol. 75, No. 5, pp. 1445-1449, March 2009. PDF
• Waters, M.S., Salas, E.C., Goodman, S.D., Udwadia, F.E., and Nealson, K.H."Early Detection of Oxidized Surfaces using Shewanella Oneidensis MR-1 as a Tool", Biofouling, Vol. 25, No. 2, pp. 163-172, February 2009. PDF
• Udwadia, F.E., "A Note on Nonproportional Damping", Journal of Engineering Mechanics, Vol. 135, pp. 1248-1256, November 2009. PDF
• Di Carlo, T., Khoshnevis, B., and Udwadia, F.E., "Whole-Brain Thinking in Systems Architecting", Journal of Systems Engineering, DOI 10.1002/sys.20121, 2008. PDF
• Udwadia, F.E., Farahani, A., "Accelerated Runge-Kutta Methods", Discrete Dynamics in Nature and Society, Vol. 2008, Article ID 790619, 38 pages, 2008. PDF
• Udwadia, F.E., "Optimal Tracking Control of Nonlinear Dynamical Systems", Proceedings of the Royal Society of London, Series A, Vol. 464, pp. 2341-2363, 2008. PDF
• Waters, M.S., Sturm, C.A., El-naggar, M.Y., Luttge, A., Udwadia, F.E., Cvitkovitch, D.G., Goodman, S.D., and Nealson, K.H. "In Search of the Microbe/Mineral Interface: Quantitative Analysis of Bacteria on Metal Surfaces Using Vertical Scanning Interferometry", Geobiology, Vol. 6 , pp. 254-262, 2008. PDF
• Peters, J., Mistry, M., Udwadia, F.E., Nakanishi, J., Schaal, S., "A Unifying Framework for Robot Control with Redundant DOFs", Autonomous Robots, Vol. 24 , pp. 1-12, 2008. PDF
• Udwadia, F.E., and Han, B., "Synchronization of Multiple Chaotic Gyroscopes Using the Fundamental Equation of Mechanics", Journal of Applied Mechanics, Vol. 75 ,02011, 2008. PDF
• Kim, D., Udwadia, F.E., and Proskurowski W., "A Perturbation Approach for Approximate Inertial Manifolds", International Journal of Computational and Applied Mathematics, Vol. 2 (1), pp. 15-41, 2007. PDF
• Udwadia, F.E., and Phohomsiri, P., "Generalized LM-inverse of a Matrix Augmented by a Column Vector", Applied Mathematics and Computation, Vol. 190 (2007), pp. 999-1006, 2007. PDF
• Udwadia, F.E., and Phohomsiri, P., "Explicit Poincare Equations of Motion for General Constrained Systems. Part I. Analytical Results," Proceedings of the Royal Society of London, Series A, Vol. 463 (2082), pp. 1421-1434, 2007. PDF
• Udwadia, F.E., and Phohomsiri P., "Explicit Poincare Equations of Motion for General Constrained Systems. Part II. Applications to Multi-body Dynamics and Nonlinear Control," Proceedings of the Royal Society of London, Series A,Vol. 463 (2082), pp. 1435-1446, 2007. PDF
• Udwadia, F.E., Hubertus von Bremen, Phohomsiri, P., "Time-delayed Control Design for Active Control of Structures: Principles and Applications," Structural Control and Health Monitoring, Vol. 14 (1), pp. 27-61, 2007. PDF
• Udwadia, F.E., and Phohomsiri, P., "Explicit Equations of Motion for Constrained Mechanical Systems with Singular Mass Matrices and Applications to Multi-body Dynamics," Proceedings of the Royal Society of London, Series A, 462, pp. 2097-2117, July, 2006. PDF
• Udwadia, F.E., G. Leitmann, and L. Lambertini, "A Dynamical Model of Terrorism," Discrete Dynamics in Nature and Society, Doi:10.1155/DDNS/2006/85653, pp. 1-32, 2006. PDF
• Udwadia, F.E., and Phohomsiri, P., "Recursive Formulas for the Generalized LM-Inverse of a Matrix," Journal of Optimization Theory and Applications, Vol. 131 (1) pp. 1-16, October 2006. PDF
• Udwadia, F.E., "Recent Advances in Multi-body Dynamics and Nonlinear Control," J. of the Braz. Soc. of Mech. Sci. & Eng., Vol. XXVIII  (3) pp. 311-315, July-September 2006. PDF
• Phohomsiri P., Udwadia, F.E., and H. Von Bremmen, "Time-Delayed Positive Velocity Feedback Control Design for Active Control of Structures," Journal of Engineering Mechanics, Vol. 132 (6) pp. 690-703, June 2006. PDF
• Udwadia, F.E., and Phohomsiri, P., "Active Control of Structures Using Time Delayed Positive Feedback Proportional Control Designs," Structural Control and Health Monitoring, Vol. 13 (1), pp. 536-552, 2006. PDF
• Udwadia, F.E., "In Memory of Robert E. Kalaba," Journal of Optimization Theory and Applications, Vol. 127 (3), pp. 471-473, 2005. PDF
• Fan Y. Y.,Kalaba, R. E.,Natsuyama H. H.,and Udwadia, F.E., "Reflections on the Gauss Principle of Least Constraint," Journal of Optimization Theory and Applications, Vol. 127 (3), pp. 475-484, 2005. PDF
• Udwadia, F.E., "Equations of Motion for Constrained Multibody Systems and their Control," Journal of Optimization Theory and Applications, Vol. 127 (3), pp. 627-638, 2005. PDF
• Udwadia, F.E., and Phohomsiri, P., "Recursive Determination of the Generalized Moore-Penrose M-Inverse of a Matrix," Journal of Optimization Theory and Applications, Vol. 127 (3), pp. 639-663, 2005. PDF
• Udwadia, F.E., "Structural Identification and Damage Detection from Noisy Modal Data," Journal of Aerospace Engineering, Vol. 18 (3), pp. 179-187, 2005. PDF
• Udwadia, F.E., "On Constrained Motion", Applied Mathematics and Computation, Vol. 164, pp. 313-320, 2005. PDF
• Udwadia, F.E., "Boundary Control, Quiet Boundaries, Super-stability and Super-instability," Applied Mathematics and Computation, Vol. 164, pp. 327-349, 2005. PDF
• Udwadia, F.E., "New General Principle of Mechanics and Its Application to General Nonideal Nonholonomic Systems," Journal of Engineering Mechanics, Vol. 131 (4), pp. 444-450, 2005. PDF
• Udwadia, F.E., Kalaba, R.E., Phohomsiri, P., "Mechanical Systems with Nonideal Constraints: Explicit Equations Without the Use of Generalized Inverses," Journal of Applied Mechanics, Vol. 71 (5), pp. 618-621, 2004. PDF
• Phohomsiri, P., Udwadia, F.E., "Acceleration of Runge-Kutta Integration Schemes," Discrete Dynamics in Nature and Society, 2004:2, pp. 307-314, 2004. PDF
• Wiederien, R.J., Udwadia, F.E., "Global Patterns from Local Interactions: A Dynamical Systems Approach," International Journal of Bifurcation and Chaos, Vol. 14, No. 8, pp. 2555-2578, 2004. PDF
• Kalaba, R.E., Natsuyama, H., and Udwadia, F. E., "An Extension of Gauss’s Principle of Least Constraint," International Journal of General Systems, Vol. 33, Issue 1, pp. 63-69, 2004. PDF
• Udwadia, F.E., "A New Perspective on the Tracking Control of Nonlinear Structural and Mechanical Systems", Proceedings of the Royal Society of London, Series A, 459, pp. 1783-1800, 2003. PDF
• Udwadia, F.E., H. von Bremen, R. Kumar and M. Hosseini, “Time Delayed Control of Structural Systems,” International Journal of Earthquake Engineering and Structural Dynamics, 32, pp. 495-535, 2003. PDF
• Udwadia, F.E., and R.E. Kalaba, "Sequential Determination of the {1,4}-Inverse of a Matrix," Journal of Optimization Theory and Applications, Vol. 117, No. 1, pp. 1-7, 2003. PDF
• Udwadia, F.E., and R. E. Kalaba, "What is the General Form of the Explicit Equations of Motion for Constrained Mechanical Systems?" Journal of Applied Mechanics, 69, pp. 335-339, 2002. PDF
• Udwadia, F.E., and H. von Bremen, "Computational Explorations into the Dynamics of Rings of Coupled Nonlinear Oscillators," Applied Mathematics and Computation, 129, pp. 55-85, 2002. PDF
• Udwadia, F.E., and H. von Bremen, "Computation of Lyapunov Characteristic Exponents for Continuous Dynamical Systems," Zeitschrift fur Angewandte Mathematik und Physik, 53, pp.123-146, 2002. PDF
• Udwadia, F.E., and R.E. Kalaba, "On the Foundations of Analytical Dynamics," Intl. Journ. Nonlinear Mechanics, 37, pp. 1079-1090, 2002. PDF
• Udwadia, F.E., and R. Kalaba, "Explicit Equations of Motion for Systems with Non-Ideal Constraints," Journal of Applied Mechanics, 68, pp. 462-467, 2001. PDF
• Udwadia, F.E., and H. von Bremen, "An Efficient and Stable Approach for Computation of Lyapunov Characteristic Exponents of Continuous Dynamical Systems," Applied Math. and Computation, 121, pp. 219-259, 2001. PDF
• Kalaba, R. and Udwadia, F.E., "Analytical Dynamics with Constraint Forces that Do Work," Applied Math and Computation, 121, pp. 211-217, 2001. PDF
• Lu, S., Cai, J., Burkett, W., and Udwadia, F.E., "A Methodology for Collaborative Design Process and Conflict Analysis," CIRP Annals in Manufacturing Technology, Vo. 49, No.1, pp. 69-73, 2000. PDF
• Udwadia, F.E., and H. von Bremen, "A Note on the Computation of the Largest p-Lyapunov Characteristic Exponents for Nonlinear Dynamical Systems," Applied Math. and Computation, 114, pp. 205-214, 2000. PDF
• Udwadia, F.E., and R. E. Kalaba, "Non-ideal Constraints and Lagrangian Dynamics," Journal of Aerospace Engineering, 13, pp. 17-22, 2000. PDF
• Udwadia, F.E., "Fundamental Principles of Lagrangian Dynamics: Mechanical Systems with Non-ideal, Holonomic, and Non-holonomic Constraints," Journ. Math. Analy. & Appl., 252, pp. 341-355, 2000. PDF
• Udwadia, F.E., and R. Kalaba, "General Forms for the Recursive Determination of Generalized Inverses," Journal of Optimization Theory and Applications, 101, pp. 509-523, 1999. PDF
• Udwadia, F.E., and R. Kalaba, "A Unified Approach for the Recursive Determination of Generalized Inverses," Comp. Math. Appl., 37, pp. 125-130, 1999. PDF
• Udwadia, F.E., and N. Raju, “Some Global Properties of a Pair of Coupled Maps: Quasi-symmetry, Periodicity, and Synchronicity,” Physica D, 111, pp. 16-26, 1998. PDF
• Udwadia, F.E., M. Hosseini and B. Wada, "Distributed Control of Large-Scale Structural Systems," Journal of Computer-Aided Civil and Infrastructure Engineering, 13, Special Issue on Structural Control, pp. 377-387, 1998. PDF
• Udwadia, F.E., and W. Proskurowski, "A Memory-Matrix-Based Identification Methodology for Structural and Mechanical Systems," Intl. Journ. Earthquake Engineering and Structural Dynamics, 27, pp. 1465-1481, 1998. PDF
• Udwadia, F.E., and R. E. Kalaba, "The Gibbs-Appell Equation and Generalized Inverse Forms," Quarterly of Applied Mathematics, 56, pp. 277-288, 1998. PDF
• Udwadia, F.E., and R. E. Kalaba, "An Alternative Proof of the Greville Formula", Journal of Optimization Theory and Applications, Vol. 94, No 1, pp.23-28, 1997 PDF
• Udwadia, F.E., Raju, N., "Dynamics of Coupled Nonlinear Maps and Its Application to Ecological Modeling", Applied Mathematics and Computation, 82, pp.137-179, 1997. PDF
• Udwadia, F.E., Hosseini, M., Chen, Y., "Robust Control of Uncertain Systems with Time Varying Delays in Control Input", Proceedings of the Americal Control Conference, 1997. PDF
• S. Beifus, W. Proskurowski and Udwadia, F.E., “A Fuzzy Logic Approach to Incorporating Managerial Thinking in Prediction and Control: a case study of market penetration,” Journal of Optimization Theory and Applications, 92, pp. 225-248, 1997. PDF
• H. Von Bremmen, Udwadia, F.E., and W. Proskurowsi, “An Efficient Method for the Computation of Lyapunov Numbers in Dynamical Systems,” Physica D, 110, pp. 1-16, 1997. PDF
• Udwadia, F.E., R. E. Kalaba, and Eun Hee-Chang, “Equations of Motion for Constrained Mechanical Systems and the Extended D’Alembert Principle,” Quarterly of Applied Mathematics, 56, pp. 321-331, 1997. PDF
• Udwadia, F.E., and N. Raju, “Dynamics of Coupled Nonlinear Maps and its Application to Ecological Modeling,” Applied Math and Computation, 82, pp. 137-179, 1997. PDF
• Udwadia, F.E., “Equations of Motion for Mechanical Systems: a unified approach,” International Journal of Nonlinear Mechanics, 31, pp. 951-958, 1996. PDF
• C. Itiki, R. Kalaba and Udwadia, F.E., “Inequality Constraints in the Process of Jumping,” Applied Mathematics and Computation, 78, pp. 163-173, 1996. PDF
• Udwadia F.E., and R. E. Kalaba, “Equations of Motion for Mechanical Systems,” Journal of Aerospace Engineering, 9, pp. 64-69, 1996. PDF
• Udwadia, F.E., R. E. Kalaba and M. Z. Nashed, “On the Existence and Uniqueness of the Solution of the Equation of Motion for Constrained Mechanical Systems,” Mathematical Problems in Engineering, 1, pp. 37-39, 1995.
• Kalaba R. E., Udwadia, F.E., and R. Xu, “The Bellman-Gauss-Vasudevan Principle of Constrained Motion,” Topics in Mathematical Physics, Allied Publishers, 1995.
• Udwadia, F.E., and R. E. Kalaba, “The Geometry of Constrained Motion,” Zeitschrift fuer Angewandte Mathematik und Mechanik, 75, pp. 637-640, 1995.
• Kalaba, R.E., Udwadia, F.E., R. Xu and C. Itiki, “The Equivalence of Lagrange's Equations of Motion of the First Kind and the Generalized Inverse Form,” Nonlinear World, 2, pp. 519-526, 1995. PDF
• Udwadia, F.E., and R. E. Kalaba, “An Alternate Proof for the New Equations of Motion for Constrained Mechanical Systems,” Applied Math. and Computation, 70, pp. 339-342, 1995. PDF
• Udwadia, F.E., and R. Kumar, “Time-Delayed Control of Classically Damped Structural Systems,” International Journal of Control, 60, pp. 687-713, 1994.PDF
• Udwadia, F. E., and Kalaba, R. E., "New Directions in the Control of Nonlinear Systems," in Mechanics and Control, R. Gutallu, Ed., Plenum Press, New York, pp. 81-84, 1994. PDF
• Xu. R, Udwadia, F.E., J. Moore and R. Kalaba, “Lagrange's Problem Without Lagrange Multipliers: The Holonomic Case,” Nonlinear World, 1, pp. 229-243, 1994. PDF
• Kalaba R. E. and Udwadia, F.E., Lagrangian Mechanics, “Gauss’s Principle and Generalized Inverses: New Equations of Motion for Nonholonomically Constrained Discrete Dynamical Systems,” Quarterly of Applied Mathematics, Vol. 52, No. 2, pp. 229-241, 1994. DOI: 10.1090/qam/1276235 PDF
• Udwadia, F.E., “Methodology for Optimum Sensor Locations for Parameter Identification in Dynamic Systems,” Journal of Engineering Mechanics, 120, pp.368-390, 1994. PDF
• Udwadia, F.E., and R. Kumar, “Convergence of Iterative Methods for Non-classically Damped Dynamic Systems,” Applied Mathematics and Computation, 61, pp. 61-97, 1994. PDF
• Udwadia, F.E., and R. Kumar, “Iterative Methods for Non-Classically Damped Dynamic Systems,” International Journal of Earthquake Engineering and Structural Dynamics, 23, pp. 137-152, 1994 PDF
• Udwadia, F.E., and R. E. Kalaba, “New Approaches to the Control of Mechanical Systems,” Mechanics and Control, Los Angeles, Plenum Press, 1993.
• Udwadia, F.E., and R. E. Kalaba, “On Motion,” Journal of the Franklin Institute, 330, pp. 571-577, 1993.PDF
• Kalaba, R.E. and Udwadia, F.E., "Equations of Motion for Nonholonomic, Constrained Dynamical Systems via Gauss's Principle", Journal of Applied Mechanics, Vol. 60(3), pp. 662-668, 1993. PDF
• Kalaba, R.E., and Udwadia, F.E., “An Associative Memory Approach to the Rapid Identification of Nonlinear Structural and Mechanical Systems,” Journal of Optimization Theory and Applications, 76, pp. 207-223, 1993.
• Udwadia, F.E., “Further Results on the Iterative Solution of Nonclassically Damped Linear Dynamic Systems,” Journal of Applied Mechanics, 60, pp. 235-239, 1993.
• Kalaba, R.E., and Udwadia, F.E., “On Constrained Motion,” Applied Mathematics and Computation, 51, pp. 85-86, 1992.
• Udwadia, F.E., “Noncollocated Control of Distributed-Parameter Nondispersive Systems with Tip Inertias Using Time Delays,” Applied Mathematics and Computation, 47, pp. 47-75, 1992, PDF.
• Udwadia, F.E., “Intelligent Control of Tall Building Structures Subjected to Strong Earthquake Ground Shaking,” Proceedings of the 10th World Conference on Earthquake Engineering, Madrid, Spain, July 14-19, 1992.
• Udwadia, F.E., and R. E. Kalaba, “A New Perspective on Constrained Motion,” Proceedings of the Royal Society of London, Series A, 439, November, pp. 407-410, 1992. PDF
• Udwadia, F.E., “Non-collocated Control of Continuous Systems with Tip-Inertias,” Applied Mathematics and Computation, 47, pp. 47-75, 1992.
• Udwadia, F.E., “Some Convergence Results Related to JOR Iterative Schemes used in Structural Mechanics Dealing with Positive-Definite Symmetric Matrices,” Applied Mathematics and Computation, 47, pp. 37-45, 1992.
• Udwadia, F.E., "Noncollocated Point Control of Nondispersive Distributed-Parameter Systems Using Time Delays," Applied Mathematics and Computation, Vol. 42, pp. 23-63, 1992. PDF
• Udwadia, F.E.,and Esfandiari, R. S., "Nonclassically Damped Dynamic Systems: An Iterative Approach"; Journal of Applied Mechanics, Vol. 57, No. 2, pp. 423-433, 1990. PDF
• Udwadia, F.E., "Some Results on Maximum Entropy Distributions for Parameters Known to Lie in Finite Intervals," SIAM Review, Vol. 31, No. 1, pp. 103-109, 1989. PDF
• Guttalu, R., Udwadia, F.E.,"Period Three May not Mean Chaos: An Example of a Piecewise Linear Map," Computational Mechanics, Vol. 5, pp. 113-118, 1989. PDF
• Udwadia, F.E., "Chaotic Dynamics of a Piecewise Cubic Map", Physical Review A, Vol. 40, No. 7, pp. 4032-4044, 1989. PDF
• Udwadia, F.E., Flashner, H., "Tradeoffs Between Identification and Control in Dynamical Systems," Journal of Applied Mechanics, Vol. 55, pp. 939-944, 1988. PDF
• Udwadia, F.E., "Response of Uncertain Dynamic Systems. I," Applied Mathematics and Computation, Vol. 22, Issues 2-3, pp. 115-150, 1987. PDF
• Udwadia, F.E., "Response of Uncertain Dynamic Systems. II," Applied Mathematics and Computation, Vol. 22, Issues 2-3, pp. 151-187, 1987. PDF
• Udwadia, F.E., "Uniqueness in the Identification of Building Structures from Forced Vibration Tests," Transactions of the CSME, Vol. 9, No. 1, pp. 19-25, 1985. PDF
• Udwadia, F. E., "Some Results on Optimal Spacing of Measurements in the Identification of Structural Systems," Quarterly of Applied Mathematics, Vol. 43, No. 3, pp. 263-274, 1985. DOI : 10.1090/qam/814225 PDF
• Udwadia, F.E., and Sharma, D.K., "On the Identification of Continuous Vibrating Systems Modelled By Hyperbolic Partial Differential Equations," Quarterly of Applied Mathematics, Vol. 42, No. 4, pp. 411-424, 1985. DOI: 10.1090/qam/766878 PDF
• Udwadia, F.E., Garba, J.A., and Ghodsi, A., "Parameter Identification Problems in Structural and Geotechnical Engineering," Journal of Engineering Mechanics, Vol. 110, No. 9, pp. 1409-1432, 1984. PDF
• Westermo, B., and Udwadia, F.E., "Periodic Response of a Sliding Oscillator System to Harmonic Excitation," Earthquake Engineering and Structural Dynamics, Vol. 11, Issue 1, pp. 135-146, 1983. PDF
• Udwadia, F.E., and Tabaie, S., "Pulse Control of Structural and Mechanical Systems," Journal of Engineering Mechanics, Vol. 107, No. EM6, pp. 1011-1028, 1981. PDF
• Udwadia, F.E., and Tabaie, S., "Pulse Control of a Single Degree-of-Freedom System," Journal of Engineering Mechanics, Vol. 107, No. EM6, pp. 997-1009, 1981. PDF
• Udwadia, F.E., "Controllability, Observability and Identification of Classical Linear Dynamic Systems," SM Archives, Vol. 6, Issue 2, pp. 193-211, 1981. PDF
• Udwadia, F.E., "A Note on the Reliability of Redundant Systems," Applied Mathematics and Computation, Vol. 8, Issue 1, pp. 35-49, 1981. PDF
• Udwadia, F.E., Shah, P. C., "Uniqueness of Damping and Stiffness Distributions in the Identification of Soil and Structural Systems", Journal of Applied Mechanics, 1978. PDF
• Shah, P. C., Udwadia, F.E.,"A Methodology for Optimal Sensor Locations for Identification of Dynamic Systems", Journal of Applied Mechanics, 45, pp. 188-196, 1978. PDF
• Udwadia, F.E., and Sharma, D., "Some Uniqueness Results Related to Building Structural Identification", SIAM J. Appl. Math.,34, 1, 1978. PDF
• Udwadia, F.E., and Shah, P. C., "Identification of Structures Through Records Obtained During Strong Earthquake Ground Motion", Journal of Engineering for Industry, 1976. PDF
• Marmarelis, P.Z., and Udwadia, F.E., "The Identification of Building Structural Systems II. The Nonlinear Case", Bulletin of the Seismological Society of America, Vol. 66, No. 1, pp. 153-171, February 1976. PDF
• Udwadia, F.E., and Marmarelis, P.Z., "The Identification of Building Structural Systems I. The Linear Case", Bulletin of the Seismological Society of America, Vol. 66, No. 1, pp. 125-151, February 1976. PDF
• Udwadia, F.E., and Trifunac, M.D., "Time and Amplitude Dependant Response of Structures", Earthquake Engineering and Structural Dynamics, Vol. 2, pp. 359-378, 1974. PDF