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Stability analysis for a class of discrete-time two-dimensional nonlinear systems

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Abstract

Stability analysis for a class of discrete-time two-dimensional nonlinear systems is addressed in this paper. A linear matrix inequality based sufficient condition for asymptotic stability is proposed. This condition is an analogous counterpart for two-dimensional linear systems which is shown to be easily verifiable and suitable for design problems. The result is illustrated by a numerical example.

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Authors and Affiliations

  1. Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA, USA

    Hamid Reza Shaker

  2. Department of Electronic Systems, Section of Automation and Control, Aalborg University, Aalborg, Denmark

    Hamid Reza Shaker

  3. Department of Mechanical Engineering, University of Birmingham, Birmingham, UK

    Maryamsadat Tahavori

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  1. Hamid Reza Shaker
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  2. Maryamsadat Tahavori
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Correspondence to Hamid Reza Shaker.

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Shaker, H.R., Tahavori, M. Stability analysis for a class of discrete-time two-dimensional nonlinear systems. Multidim Syst Sign Process 21, 293–299 (2010). https://doi.org/10.1007/s11045-010-0106-3

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  • DOI: https://doi.org/10.1007/s11045-010-0106-3

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