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Delay-Dependent Robust H ∞ Admissibility and Stabilization for Uncertain Singular System with Markovian Jumping Parameters

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Abstract

This paper investigates the problem of delay-dependent robust H ∞ admissibility and stabilization for uncertain singular time delay systems with Markovian jumping parameters. The considered systems are not necessarily assumed to be regular and impulse-free. In terms of the linear matrix inequality (LMI) approach, a delay-dependent stochastic admissibility criterion is given to ensure that the nominal system is regular, impulse-free and stochastically stable. Based on this criterion, the problem is solved. A numerical example is provided to demonstrate the efficiency of the proposed methods in this paper.

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Authors and Affiliations

  1. College of Information Science and Technology, Donghua University, Shanghai, 201620, People’s Republic of China

    Wuneng Zhou & Jian’an Fang

  2. Engineering Research Center of Digitized Textile and Fashion Technology, Ministry of Education, Donghua University, Shanghai, 201620, People’s Republic of China

    Wuneng Zhou

Authors
  1. Wuneng Zhou
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  2. Jian’an Fang
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Correspondence to Wuneng Zhou.

Additional information

This work is supported by the National “863” Key Program of China (2008AA042902), the National Natural Science Foundation of China (60874113), the Doctor Base Foundation of Colleges and Universities by the Ministry of Education of China (200802550007) and the Key Scientific Research and Innovation Program of Shanghai Education Committee (09zz66).

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Zhou, W., Fang, J. Delay-Dependent Robust H ∞ Admissibility and Stabilization for Uncertain Singular System with Markovian Jumping Parameters. Circuits Syst Signal Process 28, 433–450 (2009). https://doi.org/10.1007/s00034-008-9091-2

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  • DOI: https://doi.org/10.1007/s00034-008-9091-2

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