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Extensions of linear-quadratic control, optimization and matrix theory
Title:
Extensions of linear-quadratic control, optimization and matrix theory
Author:
Jacobson, David H.
ISBN:
9780080956428
9786612618758
Personal Author:
Publication Information:
London ; New York : Academic Press, 1977.
Physical Description:
1 online resource (x, 217 pages) : illustrations.
Series:
Mathematics in science and engineering ; v. 133
Mathematics in science and engineering ; v. 133.
Contents:
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.
Abstract:
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-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank.
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Electronic Access:
ScienceDirect http://www.sciencedirect.com/science/book/9780123787507 ScienceDirect http://www.sciencedirect.com/science/bookseries/00765392/133Available:*
Shelf Number | Item Barcode | Shelf Location | Status |
|---|---|---|---|
| QA402.5 | 1192406-1001 | Elsevier E-Book Collections | Searching... |
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