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Robust Delay-Dependent Stability Criteria for Dynamic Systems with Nonlinear Perturbations and Leakage Delay

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Abstract

This paper studies the global asymptotic stability for uncertain systems with mixed delays. The mixed delays include constant delay in the leakage term (i.e., leakage delay) and time-varying delays. The uncertainties under consideration are nonlinear time-varying parameter perturbations and norm-bounded uncertainties. Based on a appropriate Lyapunov–Krasovskii functional with triple integral terms, some integral inequalities and convex combination technique, a novel delay-dependent stability criterion is derived in terms of linear matrix inequalities (LMIs). Finally, three numerical examples are included to show the superiority of the proposed method.

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Acknowledgements

The work 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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Authors and Affiliations

  1. Department of Electrical Engineering/Information and Communication Engineering, Yeungnam University, 214-1 Dae-dong, Kyongsan, 712-749, Republic of Korea

    S. Lakshmanan, Ju H. Park & H. Y. Jung

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  1. S. Lakshmanan
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  2. Ju H. Park
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  3. H. Y. Jung
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Correspondence to Ju H. Park.

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Lakshmanan, S., Park, J.H. & Jung, H.Y. Robust Delay-Dependent Stability Criteria for Dynamic Systems with Nonlinear Perturbations and Leakage Delay. Circuits Syst Signal Process 32, 1637–1657 (2013). https://doi.org/10.1007/s00034-013-9554-y

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  • DOI: https://doi.org/10.1007/s00034-013-9554-y

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