An improved impulsive control approach to nonlinear systems with time-varying delays

作者：Zhang Hua Guang^*; Fu Jie; Ma Tie Dong; Tong Shao Cheng

来源：Chinese Physics B, 2009, 18(3): 969-974.

DOI：10.1088/1674-1056/18/3/021

• impulsive control
• time-varying delays
• impulsive functional differential equations
• Lyapunov-like stability theorem

A scheme for the impulsive control of nonlinear systems with time-varying delays is investigated in this paper. Based on the Lyapunov-like stability theorem for impulsive functional differential equation (FDEs), some sufficient conditions are presented to guarantee the uniform asymptotic stability of impulsively controlled nonlinear system with time-varying delays. These conditions are more effective and less conservative than those obtained. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method.

• 出版日期2009-3
• 单位辽宁工业大学; 西北大学