
AbstractThe aim of this paper is to consider an optimal control problem involving a class of nonlinear hyperbolic partial differential equations. A conditional gradient method is used to obtain an algorithm for solving the optimal control problem iteratively. It is then shown that any accumulation point of the sequence of controls generated by the algorithm (if it exists) satisfies a necessary condition for optimality.
Numerical optimization and variational techniques, Control/observation systems governed by partial differential equations, conditional gradient algorithm, Applied Mathematics, Methods of reduced gradient type, Optimality conditions for problems involving partial differential equations, Computational methods in systems theory, Analysis, Second-order nonlinear hyperbolic equations
Numerical optimization and variational techniques, Control/observation systems governed by partial differential equations, conditional gradient algorithm, Applied Mathematics, Methods of reduced gradient type, Optimality conditions for problems involving partial differential equations, Computational methods in systems theory, Analysis, Second-order nonlinear hyperbolic equations
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