Further results on delay-dependent stability for neutral singular systems via state decomposition method

Wenbin Chen, Fang Gao, Jinhua She and Weifeng Xia

Chaos, Solitons & Fractals, 2020, vol. 141, issue C

Abstract: This paper studies the delay-dependent stability for neutral singular systems. In the light of state decomposition method, a novel augmented Lyapunov-Krasovskii functional including less decision variables is developed. Then by means of zero-value equations technology, some sufficient stability conditions in the form of linear matrix inequalities are acquired, which guarantees the non-impulsiveness, regularity and stability for the proposed neutral singular systems. The obtained stability criterion takes the sizes of both the discrete- and neutral- delays into account. They are less conservative than those presented by previous analytical approaches. Numerical examples are given to show the feasibility of our method and the interrelation between the discrete- and neutral- delays.

Keywords: Stability; Neutral singular system; State decomposition method; Lyapunov-Krasovskii functional (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:141:y:2020:i:c:s0960077920308018

DOI: 10.1016/j.chaos.2020.110408

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