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The numerical solution of continuous time optimal control problems with the cutting angle method /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Nova Science Publishers,
[2018]
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| Colección: | Mathematics Research Developments Ser.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Intro; Contents; Preface; Chapter 1; Introduction to Cutting Angle Method Inspired by Abstract Convexity for Solving Continuous Time Optimal Control Problems; Abstract; 1.1. Introduction; 1.2. Abstract Convexity Concepts for Defining the Cutting Angle Algorithm; 1.3. The Cutting Angle Method as a Global Optimization Tool; 1.4. The Convex Analysis Tools and the Solution of Optimal Control Problems; 1.5. The Scope of the Study of Solving Optimal Control Problems with Cutting Angle Method; 1.6. Research Methodology of This Work; 1.6.1. Phase 1: Abstract Analysis; 1.6.2. Phase 2: Optimization
- The Inheritance and Generalizability Properties Extended from Function Definitions into FunctionalsAbstract; 3.1. Introduction; 3.2. Preliminaries from Set Theory; 3.3. Generalizability Property of Function Concepts into Functionals Definitions; Procedure 3.1; 3.4. Inheritance of Function Property in the Structure of Functionals; 3.5. Several Examples of the Inheritance and Generalizability Properties of Function Definitions in the Body of the Functionals; 3.5.1. Convexity in Functionals; 3.5.2. Continuity in Functionals; 3.5.3. Lower Semi-Continuity in Functionals
- 3.5.4. Linearity in Functionals3.5.5. Affinity in Functionals; 3.5.6. Homogeneity in Functionals; References; Chapter 4; Study of Some New Type of Functionals Defined Based the Inheritance and Generalizability Properties of Functions; Abstract; 4.1. Introduction; 4.2. Increasing Positively Homogeneous Functionals on the Euclidean Cone; 4.3. Preliminaries from Convex Analysis; 4.4. Increasing Positively Homogeneous Functional Definition on Euclidean Space; 4.5. Subdifferentialability of the Increasing Positively Homogeneous Functionals on the Euclidean Cone
- 4.6. Abstract Convex Functional Defined on Euclidean Space4.7. Preliminaries from Convex Functional Analysis and the Set Theory; 4.8. The Study of Some Properties of Abstract Convex Functionals; 4.9. Subdifferentiability of the Abstract Convex Functionals Defined on the Euclidean Spaces; 4.10. Introduction of Convex-Along-Rays Functionals on the Euclidean Spaces Based on Seyedi-Rohanin Model (SRM); 4.11. Subdifferentiability of Increasing Convex-Along-Rays Functionals; References; Chapter 5