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## Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2001 | 21 | 1 | 5-50
Tytuł artykułu

### Optimal control of nonlinear evolution equations

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, first we consider parametric control systems driven by nonlinear evolution equations defined on an evolution triple of spaces. The parametres are time-varying probability measures (Young measures) defined on a compact metric space. The appropriate optimization problem is a minimax control problem, in which the system analyst minimizes the maximum cost (risk). Under general hypotheses on the data we establish the existence of optimal controls.
Then we pass to nonparametric systems, which are governed by nonlinear evolution equations with nonmonotone operators. We prove two existence results for such evolution inclusions, which are of independent interest and extend significantly the results existing in the literature. Then we solve time-optimal and Meyer-type optimization problems. In Section 5, we derive necessary conditions for saddle point optimality in the minimax control problem. We conclude the paper with three examples of distributed parameter control systems.
Słowa kluczowe
EN
Kategorie tematyczne
Rocznik
Tom
Numer
Strony
5-50
Opis fizyczny
Daty
wydano
2001
otrzymano
2000-02-17
Twórcy
• National Technical University, Department of Mathematics, Zografou Campus, Athens 157 80, Greece
autor
• National Technical University, Department of Mathematics, Zografou Campus, Athens 157 80, Greece
Bibliografia
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