A New Approach on Stability for Linear Systems with Interval Time-Varying Delay

He Li; Zhao Di Xu; Chang Liu

doi:10.4028/www.scientific.net/AMM.380-384.1774

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 380-384A New Approach on Stability for Linear Systems...

A New Approach on Stability for Linear Systems with Interval Time-Varying Delay

Abstract:

This paper addresses the problem of stability for linear systems with interval time-varying delay. By using an optimized delay-decomposition approach and being based on Lyapunov stability theory and reciprocally convex lemma, we can get the delay-dependent stability criterion which can lead to much less conservative stability results compared to other methods for linear systems with time delay. A numerical example is given to show the effectiveness of the proposed criteria.

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Periodical:

Applied Mechanics and Materials (Volumes 380-384)

Pages:

1774-1777

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.380-384.1774

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Online since:

August 2013

Authors:

He Li, Zhao Di Xu, Chang Liu

Keywords:

Interval Time-Varying Delay, Reciprocally Convex Combination, Time Delay System

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