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Stability analysis and stabilization of 2-D singular Roesser models

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  • Chen, Shyh-Feng

Abstract

This paper addresses the problem of controller design for 2-D singular Roesser models. Sufficient stability conditions are formulated in terms of strict linear matrix inequalities (LMIs) for 2-D singular systems described by the Roesser models. Then a set of sufficient conditions for existence of desired a state feedback controller are obtained. Numerical examples are provided to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Chen, Shyh-Feng, 2015. "Stability analysis and stabilization of 2-D singular Roesser models," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 779-791.
    • Handle: RePEc:eee:apmaco:v:250:y:2015:i:c:p:779-791
    DOI: 10.1016/j.amc.2014.11.002
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    Cited by:

    1. Wang, Jinling & Liang, Jinling & Zhang, Cheng-Tang & Fan, Dongmei, 2021. "Event-triggered non-fragile control for uncertain positive Roesser model with PDT switching mechanism," Applied Mathematics and Computation, Elsevier, vol. 406(C).
    2. Zhu, Zhen & Lu, Jun-Guo, 2021. "Robust stability and stabilization of hybrid fractional-order multi-dimensional systems with interval uncertainties: An LMI approach," Applied Mathematics and Computation, Elsevier, vol. 401(C).

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