Abstract
To study the problem of exponential stability control for a class of networked control systems with interval distribution time delays, a new approach is given to model the networked control systems with the stochastic time delays which is assumed to be satisfying a interval Bernoulli distribution. Based on linear matrix inequality approach, the mean-square exponential stability controller design method is presented, and the controller gain matrix is obtain by solving a linear matrix inequalities. Moreover, a Lyapunov functional is used, and some stack matrices, which bring much flexibility in solving LMI, are introduced during the proof. A numerical example is given to demonstrate the validity of the results.
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Acknowledgments
The author would like to thank the associate editor and the anonymous reviewers for their constructive comments and suggestions to improve the quality and the presentation of the paper. This work was supported by National Nature Science Foundation under Project Code 61073065; Henan Province Nature Science Foundation under Project Code 092300410145.
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Yao, H., Yuan, F. (2012). Mean-Square Exponential Stability Control for Networked Control Systems with Interval Distribution Time Delays. In: Wang, X., Wang, F., Zhong, S. (eds) Electrical, Information Engineering and Mechatronics 2011. Lecture Notes in Electrical Engineering, vol 138. Springer, London. https://doi.org/10.1007/978-1-4471-2467-2_19
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DOI: https://doi.org/10.1007/978-1-4471-2467-2_19
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