Dr. Jinglai Shen
Associate Professor
Department of Mathematics & Statistics
University of Maryland, Baltimore County (UMBC)
Friday, March 6, 2015
11:00 am
800 22nd Street NW, SEH B1270
Washington, DC 20052
Hosted by: Dr. Taeyong Lee ([email protected])
A wide range of contact mechanical systems subject to unilateral constraints or friction can be formulated as a differential variational inequality (DVI) or a differential complementarity system, which has received considerable attention in optimization and systems & control fields. Such dynamical systems demonstrate inherent nonsmooth, multimodal, and switching behaviors, and thus can be treated as switching hybrid dynamical systems. In this talk, we will first review recent developments in finite-time switching dynamics analysis of differential complementarity systems (or DVIs), which is critical to computation, numerical analysis, and control of contact mechanical systems. In particular, we will focus on the non-Zeno property (i.e. the property of having finitely many switchings in finite time) of both Lipschitz and non-Lipschitz complementarity systems. We will then present some new results on robust non-Zeno property of piecewise affine systems under system parameter and/or initial state perturbations, and discuss their
implications in contact mechanics.
Dr. Jinglai Shen received the B.S.E. and M.S.E. degrees in automatic control from Beijing University of Aeronautics and Astronautics, China, in 1994 and 1997, respectively, and the Ph.D. degree in aerospace
engineering from the University of Michigan, Ann Arbor, in 2002. Currently, he is an Associate Professor in the Department of Mathematics and Statistics, University of Maryland Baltimore County (UMBC). Before
joining UMBC, he was a Postdoctoral Research Associate at Rensselaer Polytechnic Institute, Troy, NY. His research interests include nonsmooth hybrid and switching systems, continuous optimization and
optimal control, multibody dynamics and nonlinear control with applications to engineering and statistics. He is an Associate Editor of SIAM Journal on Control and Optimization.