Exponential Stability of Impulsive Differential Systems with Variable Delays Conference Paper uri icon

abstract

  • © 2016 IEEE. In this paper, the stability of a class of impulsive control differential systems with variable delays is considered by using the method of mathematic induction, Lyapunov functions and Razumikhn-type techniques. Several criteria of uniform stability and global exponential stability are derived for linear and nonlinear differential systems, respectively. It is shown that the novelty stability conditions are the generalizations of some published results. Two numerical examples and their simulations are given to illustrate the effectiveness of the theoretical results.

author list (cited authors)

  • Wang, H., Duan, S., Huang, T., & Wang, L.

citation count

  • 0

publication date

  • June 2016

publisher