Necessary optimality conditions for discrete systems with state-dependent control region
Jaroslav Doležal (1975)
Kybernetika
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Jaroslav Doležal (1975)
Kybernetika
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Jaroslav Doležal (1981)
Kybernetika
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Abdelkrim El Mouatasim, Rachid Ellaia, José Souza de Cursi (2006)
International Journal of Applied Mathematics and Computer Science
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We consider the global optimization of a nonsmooth (nondifferentiable) nonconvex real function. We introduce a variable metric descent method adapted to nonsmooth situations, which is modified by the incorporation of suitable random perturbations. Convergence to a global minimum is established and a simple method for the generation of suitable perturbations is introduced. An algorithm is proposed and numerical results are presented, showing that the method is computationally effective...
Krishnan Balachandran, N. Rajagopal (1999)
Kybernetika
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The existence of optimal control for nonlinear delay systems having an implicit derivative with quadratic performance criteria is proved. The results are established by an iterative technique and using the Darbo fixed point theorem.
Strekalovsky, Alexander (2005)
Journal of Applied Mathematics and Decision Sciences
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