New Stabilization Results for Semi‐Markov Chaotic Systems with Fuzzy Sampled‐Data Control

Abstract

This paper investigates the problem of stabilization for semi‐Markov chaotic systems with fuzzy sampled‐data controllers, in which the semi‐Markov jump has generally uncertain transition rates. The exponential stability condition is firstly obtained by the following two main techniques: To make full use of the information about the actual sampling pattern, a novel augmented input‐delay‐dependent Lyapunov–Krasovskii functional (LKF) is firstly introduced. Meanwhile, a new zero‐value equation is established to increase the combinations of component vectors of the resulting vector. The corresponding fuzzy sampled‐data controllers are designed based on the stability condition. Finally, the validity and merits of the developed theories are shown by two numerical examples.