Exponential stability of nonlinear systems with impulsive effects and disturbance input

Abstract

Abstract In this paper, exponential stability of nonlinear systems with impulse time window, disturbance input and bounded gain error is investigated. By means of the above result and the construction of a linear stabilizing feedback controller, another criterion of exponential stability is established. A numerical example is given to demonstrate the effectiveness of the theoretical results.

Keywords

• Exponential stability
• Impulse time window
• Disturbance input
• Bounded gain error
• Linear matrix inequalities