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Zbl 1243.34105
Balasubramaniam, P.; Krishnasamy, R.; Rakkiyappan, Rajan
Delay-dependent stability of neutral systems with time-varying delays using delay-decomposition approach. (English)
[J] Appl. Math. Modelling 36, No. 5, 2253-2261 (2012). ISSN 0307-904X

Summary: 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.

MSC 2000:: *34K20 Stability theory of functional-differential equations
34K40 Neutral equations

Keywords: linear matrix inequality; Lyapunov; Krasovski{\u\i} functional; neutral systems; delay-decomposition

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