Further results on delay-dependent stability for neutral singular systems via state decomposition method. (December 2020)

• Record Type: Journal Article
• Authors: Chen, Wenbin; Gao, Fang; She, Jinhua; Xia, Weifeng
• Is Part Of: Chaos, solitons and fractals. Volume 141(2020)
• Publication Date: 2020-12
• Subjects: Stability -- Neutral singular system -- State decomposition method -- Lyapunov-Krasovskii functional; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2020.110408
• Languages: English
• ISSNs: 0960-0779

Abstract

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.