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dc.contributor.authorJiang, C.
dc.contributor.authorTeo, Kok Lay
dc.contributor.authorLoxton, Ryan
dc.contributor.authorDuan, G.
dc.date.accessioned2017-01-30T15:10:49Z
dc.date.available2017-01-30T15:10:49Z
dc.date.created2012-07-04T20:00:21Z
dc.date.issued2012
dc.identifier.citationJiang, Canghua and Teo, Kok Lay and Loxton, Ryan and Duan, Guang-Ren. 2012. A neighboring extremal solution for an optimal switched impulsive control problem. Journal of Industrial and Management Optimization. 8 (3): pp. 591-609.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/43904
dc.identifier.doi10.3934/jimo.2012.8.591
dc.description.abstract

This paper presents a neighboring extremal solution for a class of optimal switched impulsive control problems with perturbations in the initial state, terminal condition and system's parameters. The sequence of mode's switching is pre-specified, and the decision variables, i.e. the switching times and parameters of the system involved, have inequality constraints. It is assumed that the active status of these constraints is unchanged with the perturbations. We derive this solution by expanding the necessary conditions for optimality to first-order and then solving the resulting multiple-point boundary-value problem by the backward sweep technique. Numerical simulations are presented to illustrate this solution method.

dc.publisherAmerican Institute of Mathematical Sciences
dc.subjectswitched systems
dc.subjectneighboring extremals
dc.subjectimpulsive control
dc.subjectnonlinear dynamic systems
dc.subjectOptimal control
dc.titleA neighboring extremal solution for an optimal switched impulsive control problem
dc.typeJournal Article
dcterms.source.volume8
dcterms.source.number3
dcterms.source.startPage591
dcterms.source.endPage609
dcterms.source.issn1547-5816
dcterms.source.titleJournal of Industrial and Management Optimization
curtin.department
curtin.accessStatusOpen access


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