Synchronization Criteria of Chaos Systems with Time-delay Feedback Control
For the time-delay feedback control of chaos synchronization problem, an idea of Lyapunov functional with time-delay decomposition is presented. Some delay-dependent synchronization criteria are formulated in the form of matrix inequalities. The controller gain with maximum allowed time-delay can be achieved by solving a set of linear matrix inequalities (LMIs). A simulation example is given to illustrate the effectiveness of the design method.
Keywords: synchronization; chaos system; time-delay feedback; delay decomposition; linear matrix inequality (LMI)
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ABOUT THE AUTHORS
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.
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.
