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Sensitivity Methods in Control Theory : Proceedings of an International Symposium Held at Dubrovnik, August 31-September 5, 1964

By: Radanovic, L.
Material type: TextTextSeries: eBooks on Demand.Publisher: Burlington : Elsevier Science, 2014Description: 1 online resource (457 p.).ISBN: 9781483223254.Subject(s): Automatic control -- Congresses | Automatic control | Control theory -- Congresses | Control theoryGenre/Form: Electronic books.Additional physical formats: Print version:: Sensitivity Methods in Control Theory : Proceedings of an International Symposium Held at Dubrovnik, August 31–September 5, 1964DDC classification: 620.7 Online resources: Click here to view this ebook.
Contents:
Front Cover; Sensitivity Methods in Control Theory; Copyright Page; FOREWORD; Table of Contents; PREFACE; PART I: BASIC APPROACHES; CHAPTER 1. SENSITIVITY ANALYSIS AND LYAPUNOV STABILITY; 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; REFERENCES
CHAPTER 2. SENSITIVITY ANALYSIS AND INVARIANT IMBEDDINGIntroduction; Invariant Imbedding; Invariant Imbedding and multipoint Boundary Value Problems; A Boundary Value Problem; Conclusions; REFERENCES; CHAPTER 3. STABILITY AND SENSITIVITY OF NONLINEAR SAMPLED DATA SYSTEMS; 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; REFERENCES
CHAPTER 4. SENSITIVITY OPERATORS FOR LINEAR TIME-VARYING SYSTEMSIntroduction; Direct Comparison of Open and Closed Loop Errors Via the Sensitivity Operator; Relationship to Invariance; Summary and Conclusions; Acknowledgment; REFERENCES; CHAPTER 5. OPTIMALITY, INSENSIΤΙVITY, AND GAME THEORY; 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; REFERENCES
CHAPTER 6. THE ROLE OF SENSITIVITY ANALYSIS IN ENGINEERING PROBLEMSIntroduction; Validity of mathematical models; Mathematical Foundations of Sensitivity Analysis; General Applications of Sensitivity Analysis; REFERENCES; PART II: SENSITIVITY FUNCTIONS; CHAPTER 7. SENSITIVITY AND DYNAMIC ACCURACY OF CONTROL SYSTEMS; Introduction; Basic definitions; The method of transformed systems; Advantages of transformed systems; The block sensitivity coefficient; The problem of dynamic accuracy; REFERENCES
CHAPTER 8. ON THE DETERMINATION OF SENSITIVITY FUNCTIONS WlTH RESPECT TO THE CHANGE OF SYSTEM ORDERIntroduction; Formulation of the model for sensitivity equations; Structural method for linear systems; Conclusion; REFERENCES; CHAPTER 9. SENSITIVITY DIPOLE AND ΤΗE SENSITIVITY POINTS MEΤΗΟD; Introduction ; Statement of the problem; Logarithmic sensitivity functions; Sensitivity dipole; Sensitivity functions; Sensitivity points; Acknowledgment; REFERENCES; CHAPTER 10. STRUCTURAL RULES FOR THE DETERMINATION OF SENSITIVITY FUNCTIONS OF NONLINEAR NONSTATIONARY SYSTEMS; Introduction
Rules for the determination of sensitivity functions
Summary: 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 theory or sensitivity analysis concerns the solution of problems associated with parameter variations within the general scope of control theory. This book is organized into five parts encompassing 30 chapters. Part I presents some basic approaches of sensitivity analysis, such the Lyapunov's theory
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Front Cover; Sensitivity Methods in Control Theory; Copyright Page; FOREWORD; Table of Contents; PREFACE; PART I: BASIC APPROACHES; CHAPTER 1. SENSITIVITY ANALYSIS AND LYAPUNOV STABILITY; 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; REFERENCES

CHAPTER 2. SENSITIVITY ANALYSIS AND INVARIANT IMBEDDINGIntroduction; Invariant Imbedding; Invariant Imbedding and multipoint Boundary Value Problems; A Boundary Value Problem; Conclusions; REFERENCES; CHAPTER 3. STABILITY AND SENSITIVITY OF NONLINEAR SAMPLED DATA SYSTEMS; 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; REFERENCES

CHAPTER 4. SENSITIVITY OPERATORS FOR LINEAR TIME-VARYING SYSTEMSIntroduction; Direct Comparison of Open and Closed Loop Errors Via the Sensitivity Operator; Relationship to Invariance; Summary and Conclusions; Acknowledgment; REFERENCES; CHAPTER 5. OPTIMALITY, INSENSIΤΙVITY, AND GAME THEORY; 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; REFERENCES

CHAPTER 6. THE ROLE OF SENSITIVITY ANALYSIS IN ENGINEERING PROBLEMSIntroduction; Validity of mathematical models; Mathematical Foundations of Sensitivity Analysis; General Applications of Sensitivity Analysis; REFERENCES; PART II: SENSITIVITY FUNCTIONS; CHAPTER 7. SENSITIVITY AND DYNAMIC ACCURACY OF CONTROL SYSTEMS; Introduction; Basic definitions; The method of transformed systems; Advantages of transformed systems; The block sensitivity coefficient; The problem of dynamic accuracy; REFERENCES

CHAPTER 8. ON THE DETERMINATION OF SENSITIVITY FUNCTIONS WlTH RESPECT TO THE CHANGE OF SYSTEM ORDERIntroduction; Formulation of the model for sensitivity equations; Structural method for linear systems; Conclusion; REFERENCES; CHAPTER 9. SENSITIVITY DIPOLE AND ΤΗE SENSITIVITY POINTS MEΤΗΟD; Introduction ; Statement of the problem; Logarithmic sensitivity functions; Sensitivity dipole; Sensitivity functions; Sensitivity points; Acknowledgment; REFERENCES; CHAPTER 10. STRUCTURAL RULES FOR THE DETERMINATION OF SENSITIVITY FUNCTIONS OF NONLINEAR NONSTATIONARY SYSTEMS; Introduction

Rules for the determination of sensitivity functions

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 theory or sensitivity analysis concerns the solution of problems associated with parameter variations within the general scope of control theory. This book is organized into five parts encompassing 30 chapters. Part I presents some basic approaches of sensitivity analysis, such the Lyapunov's theory

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