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Sensitivity methods in control theory : proceedings of an International Symposium held at Dubrovnik, August 31-September 5, 1964 /
Sensitivity Methods in Control Theory is a collection of manuscripts presented as the Third International Symposium of Sensitivity Analysis, held at Dubrovnik, Yugoslavia on August 31-September 5, 1964, sponsored by The Theory Committee of International Federation of Automatic Control. Sensitivity t...
| Call Number: | Libro Electrónico |
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| Corporate Author: | |
| Other Authors: | |
| Format: | Electronic Conference Proceeding eBook |
| Language: | Inglés |
| Published: |
Oxford ; New York :
Symposium Publications Division, Pergamon Press,
1966.
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| Edition: | First edition. |
| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- Cover image; Title page; Table of Contents; Copyright; FOREWORD; PREFACE; Part I: BASIC APPROACHES; Chapter 1: SENSITIVITY ANALYSIS AND LYAPUNOV STABILITY; Publisher Summary; Introduction; Parametric Imbedding; Some Definitions of Lyapunov's Theory of Stability; Directs Relation Between Sensitivity Analysis and Lyapunov Stability; Indirect Relation Between Sensitivity Analysis and Lyapunov Stability; Some Remarks on the Relations Existing Between Sensitivity Analysis, Lyapunov Stability and Analog Computer Errors; Chapter 2: SENSITIVITY ANALYSIS AND INVARIANT IMBEDDING; Publisher Summary.
- IntroductionInvariant Imbedding; Invariant Imbedding and Multipoint Boundary Value Problems; A Boundary Value Problem; Conclusions; Chapter 3: STABILITY AND SENSITIVITY OF NONLINEAR SAMPLED DATA SYSTEMS; Publisher Summary; Introduction; Equations of Nonlinear SDS; The Concept of Stability; Stability of the Equilibrium Position; Processes Under Bounded Excitations; Stability of Processes; Degree of Stability; Quadratic Performance Estimates; Indirect Estimates of Sensitivity; Direct Estimates of Sensitivity; Chapter 4: SENSITIVITY OPERATORS FOR LINEAR TIME-VARYING SYSTEMS; Publisher Summary.
- IntroductionDirect Comparison of Open and Closed Loop Errors Via the Sensitivity Operator; Relationship to Invariance; Summary and Conclusions; Acknowledgment; Chapter 5: OPTIMALITY, INSENSITIVITY, AND GAME THEORY; Publisher Summary; Introduction; The Game Theoretical Approach to the Sensitivity Problem; Other Approaches to the Sensitivity Problem; Optimal Control in the Presence of an Unknown Bias; Optimal Control in the Presence of an Unknown Gain; Acknowledgement; Chapter 6: THE ROLE OF SENSITIVITY ANALYSIS IN ENGINEERING PROBLEMS; Publisher Summary; Introduction.
- Validity of mathematical modelsMathematical Foundations of Sensitivity Analysis; General Applications of Sensitivity Analysis; Part II: SENSITIVITY FUNCTIONS; Chapter 7: SENSITIVITY AND DYNAMIC ACCURACY OF CONTROL SYSTEMS; Publisher Summary; Introduction; Basic definitions; The method of transformed systems; Advantages of transformed systems; The block sensitivity coefficient; The problem of dynamic accuracy; Chapter 8: ON THE DETERMINATION OF SENSITIVITY FUNCTIONS WITH RESPECT TO THE CHANGE OF SYSTEM ORDER; Publisher Summary; Introduction; Formulation of the model for sensitivity equations.
- Structural method for linear systemsConclusion; Chapter 9: SENSITIVITY DIPOLE AND THE SENSITIVITY POINTS METHOD; Publisher Summary; Introduction; Statement of the problem; Logarithmic sensitivity functions; Sensitivity dipole; Sensitivity functions; Sensitivity points; Acknowledgment; Chapter 10: STRUCTURAL RULES FOR THE DETERMINATION OF SENSITIVITY FUNCTIONS OF NONLINEAR NONSTATIONARY SYSTEMS; Publisher Summary; Introduction; Rules for the determination of sensitivity functions; Operator corresponding to the derivative of the weighing function with respect to parameter q.