Nonsmooth Mapping of Linear Control Systems

V. I. Korobov and T. I. Ivanova

Journal of Optimization Theory and Applications, 2001, vol. 108, issue 2, No 9, 389-405

Abstract: Abstract This paper deals with linear control systems of a special form. The main goal of the paper is to find the exact analytic solution of the time-optimal control problem for an arbitrary linear control system with constant coefficients using the analytic solution of this problem for the canonical system. For this aim, we construct a certain nonsmooth mapping between the 0-controllability sets of the given systems. In other words, by means of this mapping, we investigate the equivalence of the systems with the same qualitative behavior in a neighborhood of the stationary point.

Keywords: nonsmooth mappings; 0-controllability set; equivalence of systems (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1026494419039

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