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Bilinear control processes : with applications to engineering, ecology, and medicine / Ronald R. Mohler.

By: Material type: TextTextSeries: Mathematics in science and engineering ; v. 106.Publication details: New York : Academic Press, 1973.Description: 1 online resource (xi, 224 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780125041409
  • 0125041403
  • 9780080956152
  • 0080956157
  • 1282288830
  • 9781282288836
Subject(s): Genre/Form: Additional physical formats: Print version:: Bilinear control processes.DDC classification:
  • 629.8/312 22
LOC classification:
  • QA402.3 .M63 1973eb
NLM classification:
  • QA 402.3
Online resources:
Contents:
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 Analysis2.8 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 Shutdown4.5 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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  • digitized 2010 HathiTrust Digital Library committed to preserve
Summary: Bilinear control processes: with applications to engineering, ecology, and medicine.
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Includes bibliographical references and indexes.

Print version record.

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Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL

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digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL

Bilinear control processes: with applications to engineering, ecology, and medicine.

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 Analysis2.8 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 Shutdown4.5 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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