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Quasi-Barabanov Semigroups and Finiteness of the $L_2$-Induced Gain for Switched Linear Control Systems: Case of Full-State Observation
Abstract : Motivated by an open problem posed by J.P. Hespanha we extend the notion of Barabanov norm and extremal trajectory to general classes of switching signals. As a consequence we characterize the finiteness of the L2-induced gain for a large set of switched linear control systems in case of full-state observation in terms of the sign of the generalized spectral radius associated with minimal realizations of the original switched system.
Cited literature [12 references]
https://hal.inria.fr/hal-01216017
Contributor : Mario Sigalotti Connect in order to contact the contributor
Submitted on : Saturday, April 11, 2020 - 8:23:08 PM
Last modification on : Tuesday, July 20, 2021 - 3:04:25 AM
Contributor : Mario Sigalotti Connect in order to contact the contributor
Submitted on : Saturday, April 11, 2020 - 8:23:08 PM
Last modification on : Tuesday, July 20, 2021 - 3:04:25 AM
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