
Bilinear Control Processes
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Content
- Front Cover
- Bilinear Control Processes: With Applications to Engineering, Ecology, and Medicine
- Copyright Page
- CONTENTS
- Preface
- Chapter I. Introduction
- 1.1 System Science in Sociotechnology
- 1.2 Mathematical Modeling and Bilinear Systems
- 1.3 System Identification
- 1.4 Volterra Series Analysis
- References
- Chapter lI. Controllability
- 2.1 Background
- 2.2 Controllable Bilinear Systems
- 2.3 Sufficient Conditions for Complete Controllability
- 2.4 Equilibrium Set of Bilinear Systems
- 2.5 Reachable Zone for Equicontinuous Control
- 2.6 Miscellaneous Controllability Properties
- 2.7 Stability Analysis
- 2.8 Conclusions
- References
- Chapter III. Optimal Control
- 3.1 Background
- 3.2 Optimal Bilinear Regulation
- 3.3 Bang-Bang Processes
- 3.4 Fuel-Optimal Control
- 3.5 Discrete Bilinear Control
- 3.6 Quasi-Linear Programming
- 3.7 Optimal Feedback Control
- 3.8 Conclusions
- Appendix A Sufficient Condition of Optimality
- Appendix B Optimum Number of Switchings for STVM
- Appendix C Gradient Computation
- Appendix D Number of Switchings for Fuel-Optimal Policy
- References
- Chapter IV. Nuclear and Thermal Control Processes
- 4.1 Nuclear Fission
- 4.2 Heat Transfer
- 4.3 Reactor Control
- 4.4 Reactor Shutdown
- 4.5 Conclusions
- References
- Chapter V. Ecologic and Physiologic Control
- 5.1 Populations of Species
- 5.2 Biochemical Processes and the Cellular Plant
- 5.3 Compartmental Models
- 5.4 Water Balance
- 5.5 Temperature Regulation
- 5.6 The Respiratory Chemostat
- 5.7 The Cardiovascular Regulator
- 5.8 Other Bilinear Systems
- 5.9 Summary
- References
- Chapter VI. Socioeconomic Systems
- 6.1 Concepts of Socioeconomic Models
- 6.2 Urban Dynamics
- 6.3 Background for Case Study
- 6.4 Conclusions
- References
- Author Index
- Subject Index
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