ISSN:
1573-2878
Keywords:
Optimal control
;
hyperbolic partial differential equations
;
Darboux boundary conditions
;
strong variational algorithm
;
convergence
;
relaxed control
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this paper, we consider a class of optimal control problems involving linear hyperbolic partial differential equations with Darboux boundary conditions. A strong variational algorithm has been obtained for solving this class of optimal control problems in a previous paper by the third and the first authors. It was also shown that anyL ∞ accumulation points of control sequences generated by the algorithm satisfy a necessary condition for optimality. Since such accumulation points need not exist, it is shown in this paper that the control sequences generated by the algorithm always have accumulation points in the sense of control measure, and these accumulation points satisfy a necessary condition for optimality for the corresponding relaxed control problems.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00935327
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