Stability of Impulsive Hybrid Systems

Dr. Bin Liu (The Australian National University)

DATE: 2009-08-21
TIME: 11:00:00 - 12:00:00
LOCATION: RSISE Seminar Room, ground floor, building 115, cnr. North and Daley Roads, ANU

ABSTRACT:
In many natural phenomena, the nature of dynamics undergoes abrupt changes. In this case, the model includes switching discontinuously under the influence of an impulsive nature. Such systems exhibit simultaneously continuous-time dynamics and impulsive jump phenomena. A general description of such systems is called impulsive hybrid system (IHS), which was introduced by Lakshmikantham et al. IHS has been studied extensively for the past two decades due to their wide applications in impact mechanics, biological population management, quality control, and nonsmooth optimization problems. The stability theory of impulsive hybrid systems has become an active area of research in recent years. One objective of this talk is to introduce some basic stability results including recent research for this kind of hybrid systems.

BIO:
Bin Liu, received the M.Sc. degree from the Department of Mathematics, East China Normal University, Shanghai, China, in 1993 and the Ph.D. degree from the Department of Control Science and Engineering, Huazhong University of Science and Technology, China, in 2003. He was a Postdoctoral Fellow with the University of Alberta, Canada, from 2005 to 2006, and a Visiting Research Fellow with The Hong Kong Polytechnic University from 2004 to 2005. In 1993, he was with the Department of Information and Computation Science, Hunan University of Technology,China, where he was an Associate Professor in 2001 and a Professor in 2004. He is currently a Queen Elizabeth II Fellow in the Lab Net Con supervised by Prof. David J. Hill in RSISE, The Australian National University, Canberra, Australia. He is the Associate Editors of The Journal of the Franklin Institute, Mathematical Problems in Engineering and DCDIS—Series B. His research interests include stability of nonlinear systems and hybrid systems, synchronization and control of chaotic systems and complex dynamical networks

MEDIA:

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