Stability of Stochastic Differential Switching Systems with Time-Delay and Impulsive Effects

Abstract

This paper studies the stability of hybrid impulsive and switching stochastic neural networks. First, a new type of switching signal is constructed. The stochastic differential switching systems are steerable under the work of the switching signals. Then, using switching Lyapunov function approach, Itô formula, and generalized Halanay's inequality, some global asymptotical and global exponential stability criteria are derived. These criteria improve the existing results on hybrid systems without noises. An example is given to demonstrate the effectiveness of the results.

Integrated Fault Detection and Fault Tolerant Control for Switched Systems with Asynchronous Switching

“…Switched system is a higher-level abstraction of hybrid system, which consists of a series of continuous-time (or discrete-time) subsystems and switching signal governing the switching among the subsystems [1,2]. Switched systems provide a unified framework for flexible modeling tool for many physical or manmade systems with switching feature, such as flight control systems [3], industrial electronics [4], and networked control systems [5,6]. Because of the advantages in modeling and controller design, great advancements have been obtained in both theory and application recently.…”