Technical communique: New conditions for delay-derivative-dependent stability

Authors:
Emilia Fridman;Uri Shaked;Kun Liu
Affiliations:
School of Electrical Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel;School of Electrical Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel;School of Electrical Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel
Venue:
Automatica (Journal of IFAC)
Year:
2009

Citing 6
Cited 4

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Technical communique: Delay-range-dependent stability for systems with time-varying delay

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Technical communique: Stability and robust stability for systems with a time-varying delay

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Technical communique: New stability criteria for linear systems with interval time-varying delay

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Brief paper: New delay-dependent stability criteria for systems with interval delay

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Time-delay systems: an overview of some recent advances and open problems

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Letter to the editor: Stability analysis on delayed neural networks based on an improved delay-partitioning approach

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

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Letters: New delay-variation-dependent stability for neural networks with time-varying delay

Neurocomputing

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Abstract

Two recent Lyapunov-based methods have significantly improved the stability analysis of time-delay systems: the delay-fractioning approach of Gouaisbaut and Peaucelle (2006) for systems with constant delays and the convex analysis of systems with time-varying delays of Park and Ko (2007). In this paper we develop a convex optimization approach to stability analysis of linear systems with interval time-varying delay by using the delay partitioning-based Lyapunov-Krasovskii Functionals (LKFs). Novel LKFs are introduced with matrices that depend on the time delays. These functionals allow the derivation of stability conditions that depend on both the upper and lower bounds on delay derivatives.