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On Periodic Solutions of Linear Control Systems
Authors:P Cubiotti
Institution:(1) Department of Mathematics, University of Messina, Messina, Italy
Abstract:We prove a theorem of the alternative concerning periodic solutions of linear control systems. We show that, if the attainable sets have nonempty interior, then the main condition assumed in Theorem 4.2 of Ref. 1 (a tangential condition) can be weakened and simplified, and a stronger conclusion can be obtained.
Keywords:Linear control systems  periodic solutions  relative boundary  fixed points  tangent cone
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