On a variational approach to optimization of hybrid mechanical systems.
Azhmyakov, Vadim, Velazquez, Ruben (2010)
Mathematical Problems in Engineering
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Azhmyakov, Vadim, Velazquez, Ruben (2010)
Mathematical Problems in Engineering
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Peng, Y., Xiang, X., Wei, W. (2007)
Advances in Difference Equations [electronic only]
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Zhu, Jinghao, Zou, Zhiqiang (2003)
International Journal of Mathematics and Mathematical Sciences
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Azhmyakov, Vadim (2007)
Differential Equations & Nonlinear Mechanics
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Todor A. Stoilov, Krasimira P. Stoilova (1990)
Kybernetika
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L. Boudjenah, M.F. Khelfi (2010)
Mathematical Modelling of Natural Phenomena
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In this work we study the optimal control problem for a class of nonlinear time-delay systems via paratingent equation with delayed argument. We use an equivalence theorem between solutions of differential inclusions with time-delay and solutions of paratingent equations with delayed argument. We study the problem of optimal control which minimizes a certain cost function. To show the existence of optimal control, we use the main topological...
Mohamad Jamshidi, Mohsen Razzaghi (1975)
Kybernetika
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Mostafa Rachik, Mustapha Lhous, Ouafa El Kahlaoui (2006)
International Journal of Applied Mathematics and Computer Science
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A linear quadratic optimal control problem for a class of discrete distributed systems is analyzed. To solve this problem, we introduce an adequate topology and establish that optimal control can be determined though an inversion of the appropriate isomorphism. An example and a numerical approach are given.