Delay-dependent stability analysis for uncertain neutral systems with time-varying delays

Xin-Ge Liu, Min Wu, Ralph Martin and Mei-Lan Tang

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 75, issue 1, 15-27

Abstract: This paper investigates the stability of neutral delay-differential systems with mixed multiple time-varying delay arguments. Based on the Lyapunov functional method, and the relationship between the system states and the derivatives of these states, we present a new asymptotical stability criterion and a new robust stability criterion in terms of only one simple linear matrix inequality (LMI), which guarantees stability for such systems with time-varying delays. This LMI can be easily solved by various convex optimization algorithms. Two examples are given to illustrate the advantages of the proposed methods over the existing ones.

Keywords: Neutral systems; Multiple time-varying delays; Linear matrix inequality; Lyapunov method (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (15)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:75:y:2007:i:1:p:15-27

DOI: 10.1016/j.matcom.2006.08.006

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