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Research on robust control and exponential stabilization for large scale impulsive hybrid network systems with time-delay

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Abstract

This paper investigates the stability of network control systems, regarded as a class of large-scale hybrid systems, for ubiquitous computing environment. The problem of robust exponential stabilization for the hybrid systems is addressed, which are composed of impulsive subsystems with time-delay and parameter uncertainties. Using the Lyapunov–Krasovskii functional approach and linear matrix inequality method, an adaptive robust controller is designed to stabilize the uncertain continuous subsystems. Then the delay-dependent exponential stability conditions for the whole hybrid system are derived by analyzing the stability of the subsystems. An example is given to show the effectiveness of the proposed design method.

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Acknowledgments

The authors are grateful for the support of the National Natural Science Foundation of China (Grant No. 61074003).

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Authors and Affiliations

  1. School of Electronic, Information and Electrical Engineering, Shanghai Jiaotong University, Shanghai, 200240, China

    Lanping Chen & Zhengzhi Han

  2. College of Information and Engineering Science, Changzhou University, Jiangsu, 213164, China

    Lanping Chen & Zhenghua Ma

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  1. Lanping Chen
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  2. Zhengzhi Han
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  3. Zhenghua Ma
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Correspondence to Lanping Chen.

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Chen, L., Han, Z. & Ma, Z. Research on robust control and exponential stabilization for large scale impulsive hybrid network systems with time-delay. J Supercomput 70, 1023–1035 (2014). https://doi.org/10.1007/s11227-013-1064-y

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  • DOI: https://doi.org/10.1007/s11227-013-1064-y

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