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Advances in Control Systems - 1st Edition - ISBN: 9781483167138, 9781483194615

Advances in Control Systems, Volume 7

1st Edition

Theory and Applications

Editor: C. T. Leondes
Paperback ISBN: 9781483178806
Hardcover ISBN: 9781483167138
eBook ISBN: 9781483194615
Imprint: Academic Press
Published Date: 1st January 1969
Page Count: 328
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Table of Contents



Contents of Previous Volumes

Computational Problems in Random and Deterministic Dynamical Systems

I. Introduction

II. Problem Statement and Preliminaries

III. Sufficient Conditions for Controllability

IV. Solution of Terminal Control Problem

V. Computational Comparisons

VI. Relations Between the Induced State Space Algorithm and the Maximum Principle

VII. Relations Between the Induced State Space Algorithm and Dynamic Programming: An Optimal Iterative Algorithm


Approximate Continuous Nonlinear Minimal-Variance Filtering

I. Introduction

II. Mathematical Model

III. Review of Present Approximate Filter Equations

IV. Derivation of Valid Filter Equations

V. Simulations


Computational Methods in Optimal Control Problems

I. Introduction

II. The Optimal Control Problem

III. Computational Methods and Integration of Optimal Trajectories

IV. A Reentry Problem

V. Optimal Reentry Trajectories

VI. An Optimal Linear Control System

VII. Summary and Conclusions


The Optimal Control of Systems with Transport Lag

Notation and Symbols

I. Introduction

II. Systems Described by Differential-Integral Equations

III. Systems Described by Linear Differential-Integral Equations

IV. Linear Systems with Time Delays

V. Computational Results

VI. Conclusions and Comments


Entropy Analysis of Feedback Control Systems

I. Introduction

II. Mathematical Preliminaries

III. The Estimation Problem

IV. Real-Time Data Processing

V. Conclusions


Optimal Control of Linear Distributed Parameter Systems

I. Introduction

II. Elements of Problem Formulation

III. Optimal Control via Parametrization and Approximation

IV. Optimal Control via Function Space Methods

V. The Optimal Pursuit Problem for Cauchy Systems

List of Symbols


Author Index

Subject Index


Advances in Control Systems: Theory and Applications, Volume 7 provides information pertinent to the significant progress in the field of control and systems theory and applications. This book covers the important general area of computational problems in random and deterministic dynamic systems. Organized into six chapters, this volume begins with an overview of the controllability of a stochastic system. This text then presents a survey and status of methods for nonlinear minimal variance filtering. Other chapters consider some possible pitfalls and develop practical approximate nonlinear filters. This book discusses as well the area of computational problems and techniques for optimal nonlinear control problems. Computer simulation results are also included in order to show a number of the key results. The final chapter deals with the development of algorithms for the determination of the optimal control of distributed parameter systems, which pervades many areas of engineering endeavor. This book is a valuable resource for mathematicians and engineers.


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© Academic Press 1969
1st January 1969
Academic Press
Paperback ISBN:
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About the Editor

C. T. Leondes