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Quadratic stabilization of switched systems

by: Zhijian Ji, Wang, Guangming Xie
International Journal of Systems Science, Vol. 36, No. 7. (10 June 2005), pp. 395-404, doi:10.1080/00207720500140003  Key: citeulike:249850

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Abstract

We consider quadratic stabilization of uncertain switched systems when a switching rule is imposed on state feedback controllers of subsystems. A method is proposed to constructively design switching rules for continuous and discrete-time switched systems with norm-bounded time-varying uncertainties. The switching rules designed via this method do not rely on uncertainties, and the switched system is quadratically stabilizable via switched state feedback for all uncertainties.


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