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Reachable sets of second-order switched systems

Carmen Pérez*, Francisco Benítez, and Juan Bosco García Gutiérrez
International Journal of Control, Automation, and Systems, vol. 15, no. 5, pp.2138-2148, 2017

Abstract : "This paper studies the reachability of second-order switched nonlinear systems in which the switching law is the only control action. For some initial conditions we find states that are reachable from the initial condition. We also give the switching law that drives the system from the initial state to the final state. Moreover, for switched systems with limit cycles, it is proved that the reachable set is totally determined for each switched convergent state. Finally, several examples and a real application are presented in order to illustrate the results."

Keyword : Limit cycles, reachable sets, switched convergence, switched nonlinear systems.

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