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dc.contributor.authorWu, C.
dc.contributor.authorTeo, Kok Lay
dc.contributor.authorZhao, Y.
dc.contributor.authorYan, W.
dc.date.accessioned2017-01-30T13:46:16Z
dc.date.available2017-01-30T13:46:16Z
dc.date.created2009-03-05T00:58:14Z
dc.date.issued2007
dc.identifier.citationWu, C. and Teo, Kok Lay and Zhao, Y. and Yan, W. 2007. An optimal control problem involving impulsive integrodifferential systems. Optimization Methods and Software. 22 (3): pp. 531-549.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/34875
dc.identifier.doi10.1080/10556780601135688
dc.description.abstract

In this article, we consider a class of optimal control problems involving dynamical systems described by impulsive integrodifferential equations. First, we approximate the integral kernel of the integral equation by a finite expansion of the shifted Chebyshev polynomial. Through this process, the optimal control problem is approximated by a sequence of optimal control problems involving only impulsive ordinary differential equations. Each of them can be viewed as a nonlinear optimization problem. For each of these approximated problems, the gradient formula of the cost functional can be derived and hence can be solved by many efficient optimization techniques. Consequently, the optimal control software, MISER, is applicable for the purpose. Then, we present some convergence results showing the relationship between the sequence of the optimal controls of the approximated problems and that of the original problem. Finally, a numerical example is presented to illustrate the efficiency of the proposed method.

dc.publisherTaylor and Francis
dc.titleAn optimal control problem involving impulsive integrodifferential systems
dc.typeJournal Article
dcterms.source.volume22
dcterms.source.number3
dcterms.source.startPage531
dcterms.source.endPage549
dcterms.source.issn0233-1934
dcterms.source.titleOptimization Methods and Software
curtin.accessStatusFulltext not available
curtin.facultyDepartment of Mathematics and Statistics
curtin.facultySchool of Science
curtin.facultyFaculty of Science and Engineering


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