New criterion of asymptotic stability for delay systems with time-varying structures and delays

2014/03/17 by Liu, Bao, Lu, Wenlian, Chen, Tianping
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1403.4101

Abstract

In this paper, we study asymptotic stability of the zero solution of a class of differential systems governed by a scalar differential inequality with time-varying structures and delays. We establish a new generalized Halanay inequality for the asymptotic stability of the zero solution for such systems under more relaxed conditions than the existing ones. We also apply the theoretical results to the analysis of self synchronization in networks of delayed differential systems and obtained a more general sufficient condition for self synchronization.

Related

• Stability and Control of Functional Differential Equations
• Absolute stability and absolute hyperbolicity in systems with discrete time-delays
• Stability analysis for a class of linear systems governed by difference equations
• Asymptotic Behavior of Systems involving Delays: Preliminary Results
• Continuous and discrete Halanay-type inequalities