Infinite dimensional optimization and control theory /
This book is on existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. These necessary conditions are obtained from Kuhn-Tucker theorems for nonlinear programming problems in infinite dime...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
New York :
Cambridge University Press,
1999.
|
Colección: | Encyclopedia of mathematics and its applications ;
v. 62. |
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- pt. I. Finite Dimensional Control Problems. 1. Calculus of Variations and Control Theory. 2. Optimal Control Problems Without Target Conditions. 3. Abstract Minimization Problems: The Minimum Principle for the Time Optimal Problem. 4. The Minimum Principle for General Optimal Control Problems
- pt. II. Infinite Dimensional Control Problems. 5. Differential Equations in Banach Spaces and Semigroup Theory. 6. Abstract Minimization Problems in Hilbert Spaces. 7. Abstract Minimization Problems in Banach Spaces. 8. Interpolation and Domains of Fractional Powers. 9. Linear Control Systems. 10. Optimal Control Problems with State Constraints. 11. Optimal Control Problems with State Constraints
- pt. III. Relaxed Controls.