A less conservative robust stability criteria for uncertain neutral systems with mixed delays

Wei Qian, Juan Liu, Youxian Sun and Shumin Fei

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 80, issue 5, 1007-1017

Abstract: This paper is concerned with the problem of the delay-dependent robust stability of neutral systems with mixed delays and time-varying structured uncertainties. By considering the cross-terms with additional design parameters, a complete form of Lyapunov–Krasovskii functional is constructed. Then some free weighting matrices are introduced, and a sufficient stability condition is obtained in terms of linear matrix inequalities. The obtained criterion is dependent on the sizes of neutral delay and discrete delay and are less conservative than those produced by previous approaches. Numerical examples are given to illustrate both the improvement the proposed method provides over some existing ones and the relationship between the neutral- and discrete-delay.

Keywords: Neutral system; Discrete delay; Neutral delay; Robust stability; Linear matrix inequality (LMI) (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2010:i:5:p:1007-1017

DOI: 10.1016/j.matcom.2009.12.007

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