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Proceedings of the 2013 International Conference on Electrical and Information Technologies for Rail Transportation (EITRT2013)-Volume I pp 621–627Cite as

Delay-Range-Dependent Stability for Stochastic Systems with Time-Varying Delay

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 287))

Abstract

This paper is concerned with the stability analysis for stochastic systems with time-varying delay in a range. Some new delay-dependent stability criteria are devised by taking the relationship between the terms in the Leibniz-Newton formula into account. The present results may improve the existing ones due to a method to estimate the upper bound of the derivative of Lyapunov functional without ignoring some useful terms and the introduction of additional terms into the proposed Lyapunov functional, which take into account the range of delay.

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Author information

Authors and Affiliations

  1. School of Electrical Engineering and Automation, Qilu University of Technology, Jinan, China

    Tao Liu

Authors
  1. Tao Liu
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Corresponding author

Correspondence to Tao Liu .

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Editors and Affiliations

  1. Beijing Jiaotong University, Beijing, People's Republic of China

    Limin Jia

  2. Beijing Jiaotong University, Beijing, People's Republic of China

    Zhigang Liu

  3. Beijing Jiaotong University, Beijing, People's Republic of China

    Yong Qin

  4. China CNR Changchun Railway Vehicles Co., Ltd, Changchun, People's Republic of China

    Minghua Zhao

  5. Beijing Jiaotong University, Beijing, People's Republic of China

    Lijun Diao

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Liu, T. (2014). Delay-Range-Dependent Stability for Stochastic Systems with Time-Varying Delay. In: Jia, L., Liu, Z., Qin, Y., Zhao, M., Diao, L. (eds) Proceedings of the 2013 International Conference on Electrical and Information Technologies for Rail Transportation (EITRT2013)-Volume I. Lecture Notes in Electrical Engineering, vol 287. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53778-3_62

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  • DOI: https://doi.org/10.1007/978-3-642-53778-3_62

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-53777-6

  • Online ISBN: 978-3-642-53778-3

  • eBook Packages: EngineeringEngineering (R0)

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