Integral state-constrained optimal control problems for some quasilinear parabolic equations
✍ Scribed by Luis A. Fernández
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 142 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
We present new results on direct methods of the calculus of variations for nonlocal optimal control problems involving functional-differential equations with argument deviation \[ \begin{aligned} & \min I(y, u) \\ & \dot{y}=f(t, y(g(t)), u(h(t))), \quad y(0)=y_{0}, \quad t \in[0,1] \end{aligned} \]
A regularized optimality system for state-constrained optimal control problems is introduced and semi-smooth Newton methods for its solution are analyzed. Convergence of the regularized problems is proved. Numerical tests conÿrm the theoretical results and demonstrate the e ciency of the proposed me
## Nous dà edions cet article  a Jacques-Louis Lions, qui fut, non seulement un mathà ematicien exceptionnel mais aussi un homme dont les qualità es personnelles à egalaient les qualità es scientiÿques. Il nous restera le souvenir d'un homme attentif et courtois quelque soit son interlocuteur.