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Novel delay-dependent stability criteria for stochastic systems with time-varying interval delay

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Abstract

In this paper, the problem of the stability for a class of stochastic systems with time-varying interval delay is investigated. Through constructing a novel Lyapunov-Krasovskii functional and utilizing the information of both the lower and upper bounds of the delay, the delay-dependent sufficient criteria are derived in terms of linear matrix inequalities (LMIs). Neither model transformations nor bounding techniques for cross terms is employed, so the derived criteria are less conservative than the existing results. Meanwhile, the computational complexity of the obtained stability conditions is reduced because fewer variables are involved. Numerical examples are given to show the effectiveness and the benefits of the proposed method.

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Authors and Affiliations

  1. School of Information Science and Technology, Yancheng Teachers University, 224002, Yancheng, Jiangsu, P. R. China

    Jianjiang Yu

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  1. Jianjiang Yu
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Correspondence to Jianjiang Yu.

Additional information

Recommended by Editorial Board member Shengyuan Xu under the direction of Editor Jae Weon Choi.

This work was partially supported by the Natural Science Foundation of China (No.60874030), the Natural Science Foundation of Jiangsu Province of China (No.BK2010293) and the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (No.09KJB510018, No.07KJB510125).

Jianjiang Yu received his Ph.D. degree in Control Theory and Control Engineering from Southeast University, China, in 2010. He was a Postdoctoral Researcher at the University of Portsmouth, UK, in 2010/2011. He is currently an associate professor in School of Information Science and Technology, Yancheng Teachers University. His research interests include time-delay systems, neural networks, fuzzy control.

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Yu, J. Novel delay-dependent stability criteria for stochastic systems with time-varying interval delay. Int. J. Control Autom. Syst. 10, 197–202 (2012). https://doi.org/10.1007/s12555-012-0124-z

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  • DOI: https://doi.org/10.1007/s12555-012-0124-z

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