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On the controllability of switching linear systems
Authors:Mikhail I. Krastanov [Author Vitae]
Affiliation:a Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G.Bonchev str. 8, 1113 Sofia, Bulgaria
b Institute of Mathematical Methods in Economics, Vienna University of Technology, Argentinierstr. 8, A-1040 Vienna, Austria
Abstract:This note presents a necessary and sufficient condition for small time controllability of a linear switching system (that is, a collection of linear time-invariant control systems, where a trajectory is any concatenation of trajectories of the individual systems). This result extends the controllability condition recently obtained for unconstrained linear switching systems to the case of control which is constrained in a cone.
Keywords:Controllability   Switching control systems   Control constraints
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