Technical communique: Stability analysis for linear delayed systems via an optimally dividing delay interval approach

Authors:
Huaguang Zhang;Zhenwei Liu
Affiliations:
-;-
Venue:
Automatica (Journal of IFAC)
Year:
2011

Citing 7
Cited 0

Stability of Time-Delay Systems

Stability of Time-Delay Systems
Stability analysis of systems with uncertain time-varying delays

Automatica (Journal of IFAC)
Technical communique: Stability and robust stability for systems with a time-varying delay

Automatica (Journal of IFAC)
Brief paper: A discrete delay decomposition approach to stability of linear retarded and neutral systems

Automatica (Journal of IFAC)
Brief paper: New delay-dependent stability criteria for systems with interval delay

Automatica (Journal of IFAC)
Technical communique: New conditions for delay-derivative-dependent stability

Automatica (Journal of IFAC)
Technical communique: Improved delay-range-dependent stability criteria for linear systems with time-varying delays

Automatica (Journal of IFAC)

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Abstract

This paper addresses the problem of stability for linear systems with time-varying delay. A novel augmented Lyapunov-Krasovskii functional is constructed by using the idea of optimally dividing the delay interval [0,@t(t)] into some variable sub-intervals and line integral technology. Using the novel augmented functional, the new delay-dependent stability criteria are proposed for linear systems with time-varying delay. The gain is that this stability criterion can lead to much less conservative stability results compared to other methods for linear systems with delay. Two numerical examples are provided to verify the effectiveness of the proposed criteria.