Robust Exponential Stability of Large Scale System With Mixed Input Delays and Impulsive Effect

Abstract

In this paper, a class of largescale systems with impulsive effect, input disturbance, and both variable and unbounded delays were investigated. On the assumption that all subsystems of the largescale system can be exponentially stabilized, and the stabilizing feedbacks and corresponding Lyapunov functions (LFs) for the closedloop systems are available, using the idea of vector Lyapunov method and Mmatrix property, the interodifferential inequalities with variable and unbounded delays were constructed. By the stability analysis of the interodifferential inequalities, the sufficient conditions to ensure the robust exponential stability of the largescale system were obtained. Finally, the correctness and validity of the methods was verified by two numerical examples.