Shaw, Michael
Associate Professor
Mathematical Sciences
Florida Institute of Technology
United States of America
Biography
B.A. Indiana University B.S. Ball State University Ph.D. Florida Institute of Technology
Research Interest
Dr. ShawÂ’s main research is in stability analysis of nonlinear systems. This includes analysis of vector and matrix differential equations (linear and nonlinear) in which generalized variation of parameter methods are quite fruitful. He has studied the boundedness of perturbed systems in terms of two measures and most recently is investigating stability criteria for perturbed and unperturbed differential systems with initial time differences. He has also worked on Kronecker product self-adjoint boundary value problems and on nonlocal sensitivity analysis of general nonlinear Lyapunov systems that arise in a number of areas of control engineering, dynamical systems and optimal filters.
Publications
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Murty, K.N. and M.D. Shaw. 1998. "On Kronecker Product Self-adjoint Boundary Value Problems;" Journal of Mathematical and Physical Sciences
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Shaw, M.D. and C. Yakar. 1998. "Stability Criteria and Slowly Growing Motions with Initial Time Difference," Problems of Nonlinear Analysis in Engineering Systems.
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Shaw, M.D. and C. Yakar. September 1998. "Generalized Variation of Parameters with Initial Time Difference and a Comparison Result in Terms of Lyapunov-like Functions;" International Journal of Nonlinear Differential Equations Theory-Methods and Applications.
