Stability and Control of Dynamical Systems with Applications: A Tribute to Anthony N. Michel / Edition 1

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Overview

The twenty-one invited chapters in this book are an outgrowth of a workshop to honor Anthony N. Michel on the occasion of his retirement. The workshop provided a venue for researchers, colleagues, friends, and students to pay tribute to Michel's significant contributions to the systems and control community; at the same time, the workshop also served as a forum to explore topics and applications related to the stability and control of dynamical systems.

His work is characterized both by great depth, as exemplified by his contributions to stability theory of dynamical systems, and by great breadth, as demonstrated by the wide range of problems he has addressed.

The chapters are thematically organized into three main areas related to Michel's work. Part 1 contains seven chapters examining issues in stability analysis of dynamical systems; Part 2 includes six chapters dealing with artificial neural networks and signal processing; Part 3 contains eight chapters treating power systems and control systems.

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Product Details

  • ISBN-13: 9780817632335
  • Publisher: Birkhauser Verlag
  • Publication date: 7/8/2003
  • Series: Control Engineering Series
  • Edition description: 2003
  • Edition number: 1
  • Pages: 432
  • Product dimensions: 9.21 (w) x 6.14 (h) x 1.00 (d)

Table of Contents

I: Issues in Stability Analysis.- 1 Wave-Digital Concepts and Relativity Theory.- 1.1 Introduction.- 1.2 Nonlinear Passive Kirchhoff Circuits and the Wave-Digital Method.- 1.3 Nonlinear Relativistic Mass.- 1.4 Direct Derivation of the Alternative Results.- 1.5 Some Applications.- 1.6 Conclusions.- 2 Time, Systems, and Control: Qualitative Properties and Methods.- 2.1 Introduction.- 2.2 Physical Variables, Time, and Continuity.- 2.3 Complete Transfer Function Matrix.- 2.4 Consistent Lyapunov Methodology for Nonlinear Systems.- 2.5 Vector Lyapunov Function Concept and Complex Systems.- 2.6 Conclusions.- 2.7 Appendix.- 3 Asymptotic Stability of Multibody Attitude Systems.- 3.1 Introduction.- 3.2 Equations of Motion.- 3.3 Conservation of Energy and Lyapunov Stability.- 3.4 Asymptotic Stability Analysis.- 3.5 Examples.- 3.6 Conclusions.- 4 Robust Regulation of Polytopic Uncertain Linear Hybrid Systems with Networked Control System Applications.- 4.1 Introduction.- 4.2 Problem Formulation.- 4.3 Robust One-Step Predecessor Set.- 4.4 Safety, Reachability, and Attainability.- 4.5 Hybrid Regulation.- 4.6 Networked Control Systems (NCS).- 4.7 Conclusions.- 5 Stability Analysis of Swarms in a Noisy Environment.- 5.1 Introduction.- 5.2 Swarm and Environment Models.- 5.3 Stability Analysis of Swarm Cohesion Properties.- 5.4 Cohesion Characteristics and Swarm Dynamics.- 5.5 Conclusions.- 6 Stability of Discrete Time-Varying Linear Delay Systems and Applications to Network Control.- 6.1 Introduction.- 6.2 The Stability Test.- 6.3 The Algorithm.- 6.4 Applications in Communication Network Control.- 6.5 Conclusions.- 6.6 Appendix: Pseudocode for the Stability Testing Algorithm.- 7 Stability and L2 Gain Analysis of Switched Symmetric Systems.- 7.1 Introduction and Problem Formulation.- 7.2 Stability Analysis.- 7.3 L2 Gain Analysis.- 7.4 Conclusions.- II: Neural Networks and Signal Processing.- 8 Approximation of Input-Output Maps using Gaussian Radial Basis Functions.- 8.1 Introduction.- 8.2 Preliminaries.- 8.3 Radial Basis Function Approximations of Input-Output Maps.- 8.4 An Example.- 8.5 Related Results and Comments.- 9 Blind Source Recovery: A State-Space Formulation.- 9.1 Introduction.- 9.2 Optimization Framework for BSR.- 9.3 Extensions to the Natural Gradient.- 9.4 Simulation Results.- 9.5 Conclusions.- 9.6 Appendix: MIMO Canonical Form.- 10 Direct Neural Dynamic Programming.- 10.1 Introduction.- 10.2 ADP Models and Algorithms.- 10.3 Direct Neural Dynamic Programming (NDP).- 10.4 A Control Problem: Helicopter Command Tracking.- 10.5 Conclusions.- 11 Online Approximation-Based Aircraft State Estimation.- 11.1 Introduction.- 11.2 Aircraft Dynamics and Model Structure.- 11.3 Approximator Definition.- 11.4 On-Line Approximation-Based Estimation.- 11.5 Prediction Error-Based Learning.- 11.6 Lyapunov Analysis: Prediction Error.- 11.7 Implementation Issues.- 11.8 Conclusions.- 11.9 Appendix: Aircraft Notation.- 12 Evolutionary Multiobjective Optimization: Qualitative Analysis and Design Implementation.- 12.1 Introduction.- 12.2 Evolutionary Multiobjective Optimization Algorithms.- 12.3 Dynamic Multiobjective Evolutionary Algorithm (DMOEA).- 12.4 Comparative Study.- 12.5 Robustness Study.- 12.6 Conclusions.- 13 Set-Membership Adaptive Filtering.- 13.1 Introduction.- 13.2 Problem Formulation.- 13.3 Optimal Bounding Ellipsoid (OBE) Algorithms.- 13.4 Set-Membership NLMS (SM-NLMS) Algorithm.- 13.5 Conclusions.- III: Power Systems and Control Systems.- 14 Trajectory Sensitivity Theory in Nonlinear Dynamical Systems: Some Power System Applications.- 14.1 Introduction.- 14.2 Trajectory Sensitivity Analysis (TSA).- 14.3 Trajectory Sensitivity Theory for DAE Model.- 14.4 Stability-Constrained Optimal Power Flow Formulation.- 14.5 Transmission Protection System Vulnerability to Angle Stability.- 14.6 Conclusions.- 15 Emergency Control and Special Protection Systems in Large Electric Power Systems.- 15.1 Introduction.- 15.2 Controlled Islanding.- 15.3 Load-Shedding Scheme.- 15.4 Simulation Result.- 15.5 Other Forms of System Protection Schemes.- 16 Power System Stability: New Opportunities for Control.- 16.1 Introduction.- 16.2 Power System Stability.- 16.3 Challenges and Opportunities.- 16.4 Conclusions.- 17 Data Fusion Modeling for Groundwater Systems using Generalized Kalman Filtering.- 17.1 Introduction.- 17.2 Background.- 17.3 Mathematical Motivation.- 17.4 Approaches.- 17.5 Application at Savannah River Site.- 17.6 Conclusions.- 18 (Control, Output) Synthesis: Algebraic Paradigms.- 18.1 Introduction.- 18.2 Notation and Preliminaries.- 18.3 Problem Statement.- 18.4 NDP: The Abstract Kernel Problem.- 18.5 The Design Morphism.- 18.6 Output Feedback Synthesis (OFS).- 18.7 Good Unity Feedback Synthesis (GUSF).- 18.8 The Zeros of T(s).- 18.9 Conclusions.- 19 The Adaptive Dynamic Programming Theorem.- 19.1 Introduction.- 19.2 Adaptive Dynamic Programming Algorithm.- 19.3 Proof of the Adaptive Dynamic Programming Theorem.- 19.4 Conclusions.- 20 Reliability of SCADA Systems in Offshore Oil and Gas Platforms.- 20.1 Introduction.- 20.2 Conventional and Deepwater Platforms.- 20.3 Fault Tree and Reliability Analysis.- 20.4 Conclusions.- 21 Power Control and Call Admission Control for DS-CDMA Cellular Networks.- 21.1 Introduction.- 21.2 Calculation of Power Control Setpoints.- 21.3 Fixed and Adaptive Call Admission Control Algorithms.- 21.4 Simulation Results.- 21.5 Conclusions.

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