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Finite time stability analysis of systems based on delayed exponential matrix

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Abstract

In this paper, we analyze finite time stability for a class of differential equations with finite delay. Some sufficient conditions for the finite time stability results are derived based on delayed matrix exponential approach and Jensen’s and Coppel’s inequalities. Finally, we demonstrate the validity of designed method and make some discussions by using a numerical example.

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Acknowledgments

The authors are grateful to the referees for their careful reading of the manuscript and valuable comments. The authors thank the help from the editor too. The authors acknowledge Training Object of High Level and Innovative Talents of Guizhou Province ((2016) 4006), Unite Foundation of Guizhou Province ([2015] 7640) and Outstanding Scientific and Technological Innovation Talent Award of Education Department of Guizhou Province ([2014] 240).

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Authors and Affiliations

  1. Department of Mathematics, Guizhou University, Guiyang, Guizhou, 550025, China

    Zijian Luo & JinRong Wang

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  1. Zijian Luo
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  2. JinRong Wang
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Correspondence to JinRong Wang.

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Luo, Z., Wang, J. Finite time stability analysis of systems based on delayed exponential matrix. J. Appl. Math. Comput. 55, 335–351 (2017). https://doi.org/10.1007/s12190-016-1039-2

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  • DOI: https://doi.org/10.1007/s12190-016-1039-2

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