An Impulsive Delay Inequality Involving Unbounded Time-Varying Delay and Applications

In this paper, a new impulsive delay inequality that involves unbounded and nondifferentiable time-varying delay is presented. As an application, some sufficient conditions ensuring stability and stabilization of impulsive systems with unbounded time-varying delay are derived. Some numerical example...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on automatic control Vol. 62; no. 7; pp. 3618 - 3625
Main Authors Li, Xiaodi, Cao, Jinde
Format Journal Article
LanguageEnglish
Published IEEE 01.07.2017
Subjects
Asymptotic stability
Delay effects
Delays
Impulsive delay inequality
Numerical stability
stability
Stability analysis
stabilization
Symmetric matrices
Time-varying systems
unbounded time-varying delay
Online AccessGet full text

Cover

More Information
Summary:In this paper, a new impulsive delay inequality that involves unbounded and nondifferentiable time-varying delay is presented. As an application, some sufficient conditions ensuring stability and stabilization of impulsive systems with unbounded time-varying delay are derived. Some numerical examples are given to illustrate the results. Especially, a stabilizing memoryless controller for a second-order time-varying system with unbounded time-varying delay is proposed.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2017.2669580