On a variational approach to optimization of hybrid mechanical systems.
Azhmyakov, Vadim, Velazquez, Ruben (2010)
Mathematical Problems in Engineering
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On a variational approach to optimization of hybrid mechanical systems.
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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...
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