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On the Optimal Control of a Class of Time-DelaySystem

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-delaysystems via paratingent equation with delayed argument. We use an equivalence theorembetween solutions of differential inclusions with time-delay and solutions of paratingentequations with delayed argument. We study the problem of optimal control which minimizes acertain cost function. To show the existence of optimal control, we use the maintopological properties of the set solutions of paratingent equation with delayedargument

Keywords

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

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References

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