| Issue |
Math. Model. Nat. Phenom.
Volume 5, Number 7, 2010
JANO9 – The 9th International Conference on Numerical Analysis and Optimization
|
|
|---|---|---|
| Page(s) | 151 - 155 | |
| DOI | https://doi.org/10.1051/mmnp/20105725 | |
| Published online | 26 August 2010 | |
On the Optimal Control of a Class of Time-Delay System
Department of Computer Science, University of Oran
BP 1524
Oran, 31000, Algeria
* Corresponding author: E-mail:
lotfi60@yahoo.fr
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
Mathematics Subject Classification: 34A60 / 49J27 / 93C10
Key words: differential inclusion / minimization / optimal control / paratingent / time-delay
© EDP Sciences, 2010
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