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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...

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Bibliographic Details
Main Authors: Jacobson, David H
Corporate Authors: Elsevier Science & Technology
Published: Academic Press,
Publisher Address: London ; New York :
Publication Dates: 1977.
Literature type: eBook
Language: English
Series: Mathematics in science and engineering ; v. 133
Subjects:
Control theory
Mathematical optimization
Matrices
Commande, The orie de la
Optimisation mathe matique
MATHEMATICS > Probability & Statistics > General
Nichtlineare Kontrolltheorie
Electronic books
Online Access: http://www.sciencedirect.com/science/bookseries/00765392/133
Summary: 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.
Carrier Form: 1 online resource (x, 217 pages) : illustrations.
Bibliography: Includes bibliographical references and indexes.
ISBN: 9780080956428
0080956424
Index Number: QA402
CLC: O224
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.

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