New Delay-dependent Stability Criteria for Linear Systems with Time-varying Delay
This paper is concerned with the problem of asymptotic stability for linear systems with time-varying delays. With the introduction of delay-partition approach, some new delay-dependent stability criteria are established and formulated in the form of linear matrix inequalities. Both constant time delays and time-varying delays have been taken into account. Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.
Keywords: Linear systems, Time-varying delay, Delay-partition, Asymptotic stability, Linear matrix inequalities(LMIs)
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ABOUT THE AUTHORS
Weiwei Zhang
Weiwei Zhang received the B.S. and M.S. degrees in college of information from Yan Shan University, Qinhuangdao, China, in 2003 and 2006, respectively. Currently she is an Assistant Professor at the Hebei United University, Tangshan, China. Her current research interests include stability analysis of linear systems and synchronization of complex dynamic networks.
Chao Ge
Chao Ge received the B.S. and M.S. degrees in college of information from Hebei Polytechnic University, Tangshan, China, in 2003 and 2006, respectively. Currently he is an Assistant Professor at the Hebei United University, Tangshan, China. His current research interests include nonlinear control systems, control systems design over network and teleoperation systems.
Hong Wang
Hong Wang received the B.S. and M.S. degrees in college of chemical engineering from Hebei Polytechnic University, Tangshan, China, in 2003 and 2006, respectively. Currently she is an Assistant Professor at the Hebei United University, Tangshan, China. Her current research interests include environmental ecology control systems.
Weiwei Zhang
Weiwei Zhang received the B.S. and M.S. degrees in college of information from Yan Shan University, Qinhuangdao, China, in 2003 and 2006, respectively. Currently she is an Assistant Professor at the Hebei United University, Tangshan, China. Her current research interests include stability analysis of linear systems and synchronization of complex dynamic networks.
Chao Ge
Chao Ge received the B.S. and M.S. degrees in college of information from Hebei Polytechnic University, Tangshan, China, in 2003 and 2006, respectively. Currently he is an Assistant Professor at the Hebei United University, Tangshan, China. His current research interests include nonlinear control systems, control systems design over network and teleoperation systems.
Hong Wang
Hong Wang received the B.S. and M.S. degrees in college of chemical engineering from Hebei Polytechnic University, Tangshan, China, in 2003 and 2006, respectively. Currently she is an Assistant Professor at the Hebei United University, Tangshan, China. Her current research interests include environmental ecology control systems.
