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- Title
Quasi‐convex combination method and its application to the stability analysis of 2D discrete‐time Roesser systems with time‐varying delays.
- Authors
Huang, Yi Bo; An, Jianqi; He, Yong; Wu, Min
- Abstract
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.
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2018, Vol 12, Issue 6, p718
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2017.0653