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Exponential Stability Analysis for Discrete-Time Singular Systems with Randomly Occurring Delay

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Abstract

This paper investigates the problem of exponential stability analysis for discrete-time singular systems with time-varying delay. The delay enters into the singular systems in a random way, and such randomly occurring delay (ROD) obeys a certain Bernoulli distributed white noise sequence. By employing the linear matrix inequality (LMI) approach, a sufficient condition is established to ensure the considered systems exponentially mean-square stable. Two numerical examples are given to show the usefulness of the obtained result.

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Acknowledgements

The authors would like to thank the anonymous reviewers for their valuable comments and suggestions to improve the quality of this paper. This work was also supported in part by the National Creative Research Groups Science Foundation of China under grant no. 60721062, by the National High Technology Research and Development Program of China under grant 863 Program 2008AA042902, by the National Natural Science Foundation of P.R. China under grant no. 61174029, by the Key Project of Chinese Ministry of Education under grant no. 211067, by the Zhejiang Provincial Natural Science Foundation of China under grant no. Y1110944.

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Authors and Affiliations

  1. State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou, Zhejiang, 310027, China

    Zu-Xin Li, Hong-Ye Su, Yong Gu & Zheng-Guang Wu

  2. School of Information Engineering, Huzhou Teachers College, Huzhou, Zhejiang, 313000, China

    Zu-Xin Li

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  1. Zu-Xin Li
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  2. Hong-Ye Su
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  4. Zheng-Guang Wu
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Correspondence to Zu-Xin Li.

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Li, ZX., Su, HY., Gu, Y. et al. Exponential Stability Analysis for Discrete-Time Singular Systems with Randomly Occurring Delay. Circuits Syst Signal Process 32, 2231–2242 (2013). https://doi.org/10.1007/s00034-013-9561-z

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  • DOI: https://doi.org/10.1007/s00034-013-9561-z

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