Impulsive control of nonlinear systems with time-varying delays
Yongbin Yu, Jingfu Bao, Hongbin Zhang, Zhong Qi-Shui, Liao Xiao-Feng, Juebang Yu · Chinese Physics B · 2008
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.