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On the Optimal Control of a Class of Time-Delay System

Published online by Cambridge University Press:  26 August 2010

A. Taik ,
L. Boudjenah  and
M.F. Khelfi
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Abstract

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 properties of the set solutions of paratingent equation with delayed argument

Keywords

differential inclusionminimizationoptimal controlparatingenttime-delay
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 7: JANO9 – The 9th International Conference on Numerical Analysis and Optimization , 2010 , pp. 151 - 155
Copyright
© EDP Sciences, 2010

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References

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