Publisher： Cambridge University Press
E-ISSN： 1446-8735|51|3|331-349
ISSN： 1446-1811
Source： ANZIAM Journal, Vol.51, Iss.3, 2010-01, pp. : 331-349
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Abstract
This paper considers an optimal control problem for a class of controlled hybrid dynamical systems (HDSs) with prescribed switchings. By using Ekeland’s variational principle and a matrix cost functional, a minimum principle for HDSs is derived, which provides a necessary condition of the aforementioned problem. The results given in this paper include both pure continuous systems and pure discrete-time systems as special cases.
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