In this paper we study nonlinear parametric optimal control problems. We formulate the relevant minimax problem and prove the existence of an optimal control. Also, we derive necessary conditions for saddle point optimality. We also associate to the original optimization problem a dual problem, and
✦ LIBER ✦
On the optimal control of strongly nonlinear evolution equations
✍ Scribed by Nikolaos S Papageorgiou
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 989 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0022-247X
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## Abstract This paper presents the Galerkin approximation of the optimization problem of a system governed by non‐linear second‐order evolution equation where a non‐linear operator depends on derivative of the state of the system. The control is acting on a non‐linear equation. After giving some r