Impulsive control of nonlinear systems with time-varying delays
Yu Yong-Bin(于永斌)a)†, Bao Jing-Fu(鲍景富)a), Zhang Hong-Bin(张洪斌)a), Zhong Qi-Shui(钟其水)a), Liao Xiao-Feng(廖晓峰)b), and Yu Jue-Bang(虞厥邦)a)
aCollege of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China; bCollege of Computer Science, Chongqing University, Chongqing 400044, China
Abstract A whole impulsive control scheme of nonlinear systems with time-varying delays, which is an extension for impulsive control of nonlinear systems without time delay, is presented in this paper. Utilizing the Lyapunov functions and the impulsive-type comparison principles, we establish a series of different conditions under which impulsively controlled nonlinear systems with time-varying delays are asymptotically stable. Then we estimate upper bounds of impulse interval and time-varying delays for asymptotically stable control. Finally a numerical example is given to illustrate the effectiveness of the method.
Received: 08 October 2007
Revised: 10 December 2007
Accepted manuscript online:
Yu Yong-Bin(于永斌), Bao Jing-Fu(鲍景富), Zhang Hong-Bin(张洪斌), Zhong Qi-Shui(钟其水), Liao Xiao-Feng(廖晓峰), and Yu Jue-Bang(虞厥邦) Impulsive control of nonlinear systems with time-varying delays 2008 Chin. Phys. B 17 2377
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