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Delay-Partition-Dependent Robust Stability Criteria for Uncertain Discrete-Time Systems with an Interval Time-Varying State Delay

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Advances in Computer, Communication, Control and Automation

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 121))

Abstract

This paper focuses on the robust stability analysis of discrete-time linear systems with norm bounded uncertainty and an interval time-varying state delay. Delay-partition-dependent robust stability criteria for the class of systems are obtained by combining Jensen inequality and delay-partition techniques. Mathematical and numerical comparisons of the approach proposed in this paper and many of existing ones are presented, which shows the effectiveness and superiority of the proposed method.

This work is supported by the fund Heilongjiang Education Committee under Grant No. 12511417, the fund of Heilongjiang University Innovation Team Support Plan under Grant Hdtd2001-03, and the Fund of Heilongjiang University Academic Scientific and Technological Innovation of Students.

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Author information

Authors and Affiliations

  1. School of Mathematical Science, Heilongjiang University, Harbin, 150080, China

    Qiu Li, Yantao Wang, Huanyu Zhu & Yanmei Hu

  2. Department of Mathematics, School of Arts and Science, Harbin Normal University, Harbin, 150301, China

    Qiu Li

Authors
  1. Qiu Li
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  2. Yantao Wang
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  3. Huanyu Zhu
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  4. Yanmei Hu
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Editor information

Editors and Affiliations

  1. Central China Normal University, Lvting Yajing 10-3-102, 430079, Wuhan, Hongshan Qu, China

    Yanwen Wu

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© 2011 Springer-Verlag Berlin Heidelberg

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Li, Q., Wang, Y., Zhu, H., Hu, Y. (2011). Delay-Partition-Dependent Robust Stability Criteria for Uncertain Discrete-Time Systems with an Interval Time-Varying State Delay. In: Wu, Y. (eds) Advances in Computer, Communication, Control and Automation. Lecture Notes in Electrical Engineering, vol 121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25541-0_71

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  • DOI: https://doi.org/10.1007/978-3-642-25541-0_71

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25540-3

  • Online ISBN: 978-3-642-25541-0

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