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- Title
Stability of two-dimensional Roesser systems with time-varying delays via novel 2D finite-sum inequalities.
- Authors
Van Hien, Le; Trinh, Hieu
- Abstract
This study considers the problem of stability analysis of discrete-time two-dimensional (2D) Roesser systems with interval time-varying delays. New 2D finite-sum inequalities, which provide a tighter lower bound than the existing ones based on 2D Jensen-type inequalities, are first developed. Based on an improved Lyapunov-Krasovskii functional, the newly derived inequalities are then utilised to establish delay-range-dependent linear matrix inequality-based stability conditions for a class of discrete time-delay 2D systems. The effectiveness of the obtained results is demonstrated by numerical examples.
- Subjects
LINEAR matrix inequalities; MATHEMATICAL bounds; LYAPUNOV functions; DISCRETE systems; NUMERICAL analysis
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2016, Vol 10, Issue 14, p1665
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2016.0078