On Periodic Solutions of Linear Control Systems

P. Cubiotti
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P. Cubiotti: University of Messina

Journal of Optimization Theory and Applications, 1999, vol. 103, issue 2, No 11, 475-482

Abstract: 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 (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1023/A:1021717206010

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