Delay-dependent stability of neutral systems with time-varying delays using delay-decomposition approach

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Abstract

This paper is concerned with the problem of asymptotic stability of neutral systems. A new delay-dependent stability condition is derived in terms of linear matrix inequality to ensure a large upper bound of the time-delay by non-uniformly dividing the delay interval into multiple segments. A new Lyapunov–Krasovskii functional is constructed with different weighting matrices corresponding to different segments in the Lyapunov–Krasovskii functional, where both constant time delays and time-varying delays have been taken into account. Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.

Keywords

Linear matrix inequality
Lyapunov–Krasovskii functional
Neutral systems
Delay-decomposition

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The work of the authors are supported by UGC-SAP (DRS-II) Grant No. F.510/2/DRS/2009 (SAP-I).