- 322 pages
- English
- PDF
- Available on iOS & Android
Introduction to Stochastic Control Theory
About This Book
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 matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
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Table of contents
- Front Cover
- Introduction to Stochastic Control Theory
- Copyright Page
- TABLE OF CONTENTS
- Preface
- Acknowledgments
- CHAPTER 1 STOCHASTIC CONTROL
- CHAPTER 2 STOCHASTIC PROCESSES
- CHAPTER 3 STOCHASTIC STATE MODELS
- CHAPTER 4 ANALYSIS OF DYNAMICAL SYSTEMS WHOSE INPUTS ARE STOCHASTIC PROCESSES
- CHAPTER 5 PARAMETRIC OPTIMIZATION
- CHAPTER 6 MINIMAL VARIANCE CONTROL STRATEGIES
- CHAPTER 7 PREDICTION AND FILTERING THEORY
- CHAPTER 8 LINEAR STOCHASTIC CONTROL THEORY
- Index
- Mathematics in Science and Engineering