Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2014, Special Issue (2013), Article ID 159745, 6 pages.
Robust Stability Criteria of Roesser-Type Discrete-Time Two-Dimensional Systems with Parameter Uncertainties
This paper is concerned with robust stability analysis of uncertain Roesser-type discrete-time two-dimensional (2D) systems. In particular, the underlying parameter uncertainties of system parameter matrices are assumed to belong to a convex bounded uncertain domain, which usually is named as the so-called polytopic uncertainty and appears typically in most practical systems. Robust stability criteria are proposed for verifying the robust asymptotical stability of the related uncertain Roesser-type discrete-time 2D systems in terms of linear matrix inequalities. Indeed, a parameter-dependent Lyapunov function is applied in the proof of our main result and thus the obtained robust stability criteria are less conservative than the existing ones. Finally, the effectiveness and applicability of the proposed approach are demonstrated by means of some numerical experiments.
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 159745, 6 pages.
First available in Project Euclid: 6 October 2014
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Zhao, Yan; Zhang, Tieyan; Zhao, Dan; You, Fucai; Li, Miao. Robust Stability Criteria of Roesser-Type Discrete-Time Two-Dimensional Systems with Parameter Uncertainties. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 159745, 6 pages. doi:10.1155/2014/159745. https://projecteuclid.org/euclid.aaa/1412605897