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On networked control of impulsive hybrid systems. (English) Zbl 1219.93109
Summary: This paper is concerned with the problem of networked control for impulsive systems. A model of networked impulsive control systems with time delays, packet dropout and nonlinear perturbations is first formulated. Some sufficient conditions ensuring global asymptotical stability are obtained for the networked impulsive system.
MSC:
93D20Asymptotic stability of control systems
34A37Differential equations with impulses
34K20Stability theory of functional-differential equations
93C30Control systems governed by other functional relations
References:
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[2]Yang, T.: Impulsive systems and control: theory and application, (2001)
[3]Li, Z. G.; Wen, Y. C.; Soh, Y. C.: Analysis and design of impulsive control systems, IEEE transactions on automatic control 46, 894-897 (2001) · Zbl 1001.93068 · doi:10.1109/9.928590
[4]Li, C.; Feng, G.; Huang, T.: On hybrid impulsive and switching neural networks, IEEE transactions on systems, man, and cybernetics–B 38, 1549-1560 (2008)
[5]Li, C.; Ma, F.; Feng, G.: Hybrid impulsive and switching time-delay systems, IET control and applications 3, 1487-1498 (2009)
[6]Yang, Z.; Xu, D.: Stability analysis and design of impulsive control system with time delay, IEEE transaction on automatic control 52, 1148-1154 (2007)
[7]Zhang, W.; Braniky, M. S.; Phillips, S. M.: Stability of networked control systems, IEEE control systems magazine 21, No. 1, 84-99 (2001)
[8]Wang, Z.; Ho, D. W. C.; Liu, X.: Variance-constrained control for uncertain stochastic systems with missing measurement, IEEE transactions on systems, man and cybernet. Part A 35, 746-753 (2005)
[9]Zhang, X.; Zheng, Y.; Lu, G.: Network-based robust control of stochastic systems with nonlinear perturbations, Asian journal of control 11, 94-99 (2009)
[10]Walsh, G. C.; Ye, H.; Bushnell, L.: Stability analysis of networked control systems, IEEE transactions on control systems technology 10, No. 3, 438-446 (2002)
[11]Peng, C.; Tian, Y. -C.: Networked H control of linear systems with state quantization, Information sciences 177, 5763-5774 (2007) · Zbl 1126.93338 · doi:10.1016/j.ins.2007.05.025
[12]M.S. Braniky, S.M. Phillips, W. Zhang, Stability of networked control systems: explicit analysis of delay, in: Proc. Am. Control Conf., Chicago, 2000, pp. 2352–2357.