Speaker: Alexander Aleksandrov, St. Petersburg State University
Theme: Stability analysis of mechanical systems with time delay via decomposition
Time: 14:00-15:00, 26th, Oct. 2015
Venue: Room 303, Xihuan Building
Organizer: College of Information and Control College
Introduction:
Alexander Aleksandrov received the M.S. degree in Applied Mathematics, and the Ph.D. degree in Automatic Control in 1985 and 1989, respectively, both from the Leningrad State University, Russia. He received the Doctor of Sciences (higher doctorate) degree in Mathematical Modeling in 2000 from the St. Petersburg Institute for Informatics and Automation of the Academy of Science of Russia. Currently, he is a professor and head of the Department of Control of Medical and Biological Systems of the faculty of Applied Mathematics and Control Processes of St. Petersburg State University. He has published more than 150 scientific articles and books. His current research interests include stability of nonlinear time-varying systems and time-delay systems, nonlinear and robust control.

About the Lecture: Mechanical systems whose motions are described by the second order differential equations with delay in positional forces are studied. The delay is assumed to be a continuous nonnegative and bounded function of time. On the basis of the Lyapunov direct method and the Razumikhin approach, asymptotic stability conditions for considered systems are obtained. These conditions permit to reduce the stability problem for the original time-delay second order system to that for two independent delay free first order subsystems. The proposed approaches are applied to the stability analysis of hybrid mechanical systems with switched force fields.

Editor: Bu Lingduo

Source: UPC News Center