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Extensions of linear-quadratic control, optimization and matrix theory /
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrang...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London ; New York :
Academic Press,
1977.
|
| Colección: | Mathematics in science and engineering ;
v. 133. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
Tabla de Contenidos:
- Front Cover; Extensions of Linear-Quadratic Control, Optimization and Matrix Theory; Copyright Page; Contents; Preface; CHAPTER 1. INTRODUCTION; 1.1 References; CHAPTER 2. NON-LINEAR-QUADRATIC CONTROL PROBLEMS; 2.1 Exponential Performance Criterion
- Perfect Measurements; 2.2 Exponential Performance Criterion
- Noisy Measurements; 2.3 Non-linear Stochastic Systems; 2.4 Infinite-time Optimal Control; 2.5 Systems Homogeneous-in-the-input; 2.6 Optima Control of Quadratic Systems; 2.7 Conclusion; 2.8 References.
- CHAPTER 3. COPOSITIVE MATRICES, NON-CONVEX QUADRATIC FORMS AND QUADRATIC DIFFERENTIAL EQUATIONS3.1 Introduction to Copositive Matrices; 3.2 Extensions; 3.3 Quadratic Differential Equations; 3.4 Invariant Sets; 3.5 Conclusion; 3.6 References; CHAPTER 4. NON-NEGATIVITY CONDITIONS FOR CONSTRAINED AND NON-QUADRATIC FUNCTIONALS; 4.1 Linear-Quadratic Case; 4.2 Constrained Case; 4.3 Non-linear Systems; 4.4 Conclusion; 4.5 References; CHAPTER 5. CONTROLLABILITY OF CONSTRAINED LINEAR AUTONOMOUS SYSTEMS; 5.1 Introduction; 5.2 Zero not Interior to Constraint Set or its Convex Hull.
- 5.3 Arbitrary-interval Null-controllability5.4 Conclusion; 5.5 References; 5.A Appendix; CHAPTER 6. NEW APPROACHES TO FUNCTION MINIMIZATION; 6.1 Introduction; 6.2 Homogeneous Models; 6.3 Differential Descent; 6.4 Conclusion; 6.5 References; CHAPTER 7. CONCLUSION; AUTHOR INDEX; SUBJECT INDEX.