Optimal control problems for general global hybrid dynamical systems with matrix cost functional

Rui Gao, Xinzhi Liu

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.

doi:10.1017/S1446181110000799

Keywords


hybrid dynamical system; optimal control; minimum principle; Ekeland’s variational principle; restricted terminal states



DOI: http://dx.doi.org/10.21914/anziamj.v51i0.1986



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.