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Almost sure asymptotic stabilization of differential equations with time-varying delay by Lévy noise

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Abstract

The arguments in this paper show that under suitable conditions , differential equations with time-varying delay can be stabilized by adding Lévy noises. Indeed, these sufficient conditions can be applied as stabilization criteria in terms of linear matrix inequalities, whence the feedback controls can be designed more easily in practice.

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Acknowledgments

This work was partially supported by PNSF of Anhui (1208085QG131,KJ2013Z008), SRFDP of China (20133219110040), NNSF of China (11301001), HSSF for the Ministry of Education (10YJC630143), EYSF of Anhui Province of China (2013SQRL030ZD).

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Authors and Affiliations

  1. Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu, China

    Dezhi Liu & Weiqun Wang

  2. School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, 233030, Anhui, China

    Dezhi Liu

  3. Department of Mathematics, Wayne State University, Detroit, MI, 48202, USA

    Dezhi Liu & Jose Luis Menaldi

Authors
  1. Dezhi Liu
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  2. Weiqun Wang
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  3. Jose Luis Menaldi
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Correspondence to Dezhi Liu.

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Liu, D., Wang, W. & Menaldi, J.L. Almost sure asymptotic stabilization of differential equations with time-varying delay by Lévy noise. Nonlinear Dyn 79, 163–172 (2015). https://doi.org/10.1007/s11071-014-1653-1

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  • DOI: https://doi.org/10.1007/s11071-014-1653-1

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