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Linear Matrix Inequality Approach to New Delay-Dependent Stability Criteria for Uncertain Dynamic Systems with Time-Varying Delays

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Abstract

In this paper, the problem of delay-dependent stability for uncertain dynamic systems with time-varying delays is considered. The parameter uncertainties are assumed to be norm-bounded. Using a new augmented Lyapunov functional, novel delay-dependent stability criteria for such systems are established in terms of LMIs (linear matrix inequalities), which can be solved easily by the application of convex optimization algorithms. Three numerical examples are given to show the superiority of the proposed method.

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Authors and Affiliations

  1. School of Electrical Engineering, Chungbuk National University, Cheongju, Republic of Korea

    O. M. Kwon

  2. School of Electronics Engineering, Daegu University, Kyongsan, Republic of Korea

    S. M. Lee

  3. Department of Electrical Engineering, Yeungnam University, Kyongsan, Republic of Korea

    Ju H. Park

Authors
  1. O. M. Kwon
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  2. S. M. Lee
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  3. Ju H. Park
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Corresponding author

Correspondence to Ju H. Park.

Additional information

Communicated by F.E. Udwadia.

This research was supported by the MKE (The Ministry of Knowledge Economy), Korea, under the ITRC (Information Technology Research Center) support program supervised by the IITA (Institute for Information Technology Advancement) (IITA-2009-C1090-0904-0007). Also, the research of J.H. Park was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2010-0009373).

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Kwon, O.M., Lee, S.M. & Park, J.H. Linear Matrix Inequality Approach to New Delay-Dependent Stability Criteria for Uncertain Dynamic Systems with Time-Varying Delays. J Optim Theory Appl 149, 630–646 (2011). https://doi.org/10.1007/s10957-011-9795-5

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  • DOI: https://doi.org/10.1007/s10957-011-9795-5

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