Controllability of the Vallée–Poussin Problem for Impulsive Differential Systems

M. U. Akhmetov and A. Zafer
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M. U. Akhmetov: Middle East Technical University
A. Zafer: Middle East Technical University

Journal of Optimization Theory and Applications, 1999, vol. 102, issue 2, No 3, 263-276

Abstract: Abstract Necessary and sufficient conditions for the controllability of multipoint boundary-value problems for linear semihomogeneous and nonhomogeneous impulsive differential systems are established. The set of all controls solving such problems is described. Moreover, we provide sufficient conditions for the time-optimal control of the Vallée–Poussin problem and obtain the Pontryagin maximum principle in sufficient form.

Keywords: Impulsive differential systems; controls; Vallée–Poussin problem; linear systems; Pontryagin maximum principle (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1023/A:1021772222172

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