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The delay-range-dependent robust stability analysis for 2-D state-delayed systems with uncertainty

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Abstract

This paper addresses the problems of delay-range-dependent stability and robust stability for uncertain two-dimensional (2-D) state-delayed systems in the Fornasini–Machesini second model, with the uncertainty assumed to be of norm bounded form. A generalized Lyapunov function candidate is introduced to prove the stability condition and some free-weighting matrices are used for less conservative conditions. The resulting stability and robust stability conditions in terms of linear matrix inequalities are delay-range-dependent. Some numerical examples are given to illustrate the method.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China

    Juan Yao & Yun Zou

  2. Department of Mathematics, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China

    Weiqun Wang

Authors
  1. Juan Yao
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  2. Weiqun Wang
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  3. Yun Zou
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Correspondence to Juan Yao.

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Yao, J., Wang, W. & Zou, Y. The delay-range-dependent robust stability analysis for 2-D state-delayed systems with uncertainty. Multidim Syst Sign Process 24, 87–103 (2013). https://doi.org/10.1007/s11045-011-0156-1

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  • DOI: https://doi.org/10.1007/s11045-011-0156-1

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