Quasi-convex combination method and its application to the stability analysis of 2D discrete-time Roesser systems with time-varying delays
- Author(s): Yi Bo Huang 1, 2 ; Jianqi An 1, 2, 3 ; Yong He 1, 2 ; Min Wu 1, 2
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View affiliations
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Affiliations:
1:
School of Automation , China University of Geosciences , Wuhan 430074 , People's Republic of China ;
2: Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems , Wuhan 430074 , People's Republic of China ;
3: Department of Computer Science , School of Computing, Tokyo Institute of Technology , Yokohama 226-8502 , Japan
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Affiliations:
1:
School of Automation , China University of Geosciences , Wuhan 430074 , People's Republic of China ;
- Source:
Volume 12, Issue 6,
17
April
2018,
p.
718 – 727
DOI: 10.1049/iet-cta.2017.0653 , Print ISSN 1751-8644, Online ISSN 1751-8652
This study is concerned with the problem of stability analysis of two-dimensional (2D) discrete-time Roesser systems with time-varying delays. First, based on an augmented Lyapunov–Krosovskii functional, a less conservative stability criterion incorporating time-varying terms is established by utilising a general free-matrix-based inequality. Next, in order to eliminate the time-varying terms without introducing redundant constraints, a quasi-convex combination method is proposed. Then, compared with the criteria derived via the other inequalities, the conservatism analysis is given to prove the proposed criterion can lead to a better result theoretically. Finally, a numerical example is presented to illustrate the advantage of the presented method.
Inspec keywords: matrix algebra; Lyapunov methods; delays; discrete time systems; stability; time-varying systems; stability criteria
Other keywords: 2D discrete-time Roesser systems; quasi-convex combination method; augmented Lyapunov-Krosovskii functional; two-dimensional discrete-time Roesser systems; stability analysis; general free-matrix-based inequality; less conservative stability criterion; conservatism analysis; time-varying delays
Subjects: Distributed parameter control systems; Time-varying control systems; Discrete control systems; Linear algebra (numerical analysis); Stability in control theory
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