ISSN:
1573-2878
Keywords:
Hyperbolic partial differential equations
;
Darboux-type boundary conditions
;
state equations of the Dieudonné-Rashevsky type
;
optimal control problems
;
necessary conditions
;
strong variation techniques
;
convergence of algorithms
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract This paper considers an optimal control problem involving linear, hyperbolic partial differential equations. A first-order strong variational technique is used to obtain an algorithm for solving the optimal control problem iteratively. It is shown that the accumulation points of the sequence of controls generated by the algorithm (if they exist) satisfy a necessary condition for optimality.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00933758
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