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Practical stability of positive fractional 2D linear systems

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Abstract

A new concept (notion) of the practical stability of the positive fractional 2D linear systems is proposed. Necessary and sufficient conditions for the practical stability of the positive fractional 2D systems are established. It is shown that the positive fractional 2D systems is practically unstable 1) if a corresponding positive 2D system is asymptotically unstable, 2) if some matrices of the 2D system are nonnegative.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, Białystok Technical University, Wiejska 45D, 15-351, Białystok, Poland

    Tadeusz Kaczorek

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  1. Tadeusz Kaczorek
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Correspondence to Tadeusz Kaczorek.

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Kaczorek, T. Practical stability of positive fractional 2D linear systems. Multidim Syst Sign Process 21, 231–238 (2010). https://doi.org/10.1007/s11045-009-0098-z

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  • DOI: https://doi.org/10.1007/s11045-009-0098-z

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