Optimal control problems for some first and second order differential equations. (English) Zbl 0817.49022
Pavel, Nicolae H. (ed.), Optimal control of differential equations. A Festschrift in honor of Constantin Corduneanu. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 160, 271-279 (1994).
One gives necessary conditions (maximum principles) for an admissible pair \((y, u)\) to be an optimal pair for the problem: Minimize {\(\int^ T_ 0 L(y, u)dt\), over all \((y, u)\) subject to first and second order differential equations associated with maximal monotone operators}. The function \(y\) is \(T\)-anti-periodic.
For the entire collection see [Zbl 0799.00013].
For the entire collection see [Zbl 0799.00013].
Reviewer: N.Pavel (Athens / Ohio)
MSC:
| 49K20 | Optimality conditions for problems involving partial differential equations |
| 49J20 | Existence theories for optimal control problems involving partial differential equations |
| 49J15 | Existence theories for optimal control problems involving ordinary differential equations |
