Decision and Control Lecture Series
Coordinated Science Laboratory
“Structured Stochastic Uncertainty in Dynamical Systems”
Bassam Bamieh, Ph.D.
University of California at Santa Barbara
Wednesday, May 3, 2017
3:00 p.m. to 4:00 p.m.
CSL Auditorium (B02)
Linear systems with multiplicative, time-varying noise exhibit varied and rich phenomenology. We study such systems in a framework similar to that used in robust control where the stochastic parameters are viewed as a structured uncertainty. In particular, a purely input-output approach is developed to characterize mean-square stability. This approach clarifies earlier results in this area and also easily produces new ones in the case of correlated uncertainties. Applications of this framework to networked dynamical systems with link failures and stochastic topologies will be illustrated. In addition, an application to a model of the Cochlea will be described which potentially explains auto-acoustic emissions as an instability mechanism. Finally, some interesting connections of this work with the statistical physics of disordered media will be presented.
Bassam Bamieh is Professor of Mechanical Engineering and Associate Director of the Center for Control, Dynamical Systems and Computation (CCDC) at at the University of California at Santa Barbara. His research interests are in the fundamentals of Control and Dynamical Systems such as Robust, Optimal and Distributed Control, as well as the applications of systems and feedback techniques in several physical and engineering systems including shear flow transition and turbulence, and the use of feedback in thermoacoustic energy conversion devices. He is a past recipient of the AACC Hugo Schuck Best Paper Award, and the IEEE Control Systems Society G. S. Axelby Outstanding Paper Award (twice). He is a Fellow of the International Federation of Automatic Control (IFAC) , and a Fellow of the IEEE.