Robust exponential stability results for uncertain infinite delay differential systems with random impulsive moments

Abstract

Abstract In this paper, we establish some criteria on robust exponential stability by using the formula for the variation of parameters and estimating the Cauchy matrix. More importantly, the robust stability criteria do not require the stability of the corresponding continuous system, and so they can be more widely applied to stabilize the unstable continuous system with time delays and uncertainties by using random impulsive control. Further, we give some numerical examples to illustrate the theoretical results.

Keywords

• random impulses
• exponential stability
• robustness
• infinite delay differential systems