Bilinear control processes : with applications to engineering, ecology, and medicine /
Mohler, Ronald R.
Bilinear control processes : with applications to engineering, ecology, and medicine / Ronald R. Mohler. - New York : Academic Press, 1973. - 1 online resource (xi, 224 pages) : illustrations. - Mathematics in science and engineering ; v. 106 . - Mathematics in science and engineering ; v. 106. .
Includes bibliographical references and indexes.
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
Use copy
Bilinear control processes: with applications to engineering, ecology, and medicine.
Electronic reproduction.
[S.l.] :
HathiTrust Digital Library,
2010.
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.
http://purl.oclc.org/DLF/benchrepro0212
9780125041409 (electronic bk.) 0125041403 (electronic bk.) 9780080956152 (electronic bk.) 0080956157 (electronic bk.) 1282288830 9781282288836
Control theory.
Automatic control.
Biological control systems.
Mathematics.
Mathematics
Théorie de la commande.
Commande automatique.
Régulation (Biologie)
Mathématiques.
mathematics.
applied mathematics.
TECHNOLOGY & ENGINEERING--Automation.
TECHNOLOGY & ENGINEERING--Robotics.
Automatic control.
Biological control systems.
Control theory.
Bilinear control systems
Electronic books.
Electronic books.
QA402.3 / .M63 1973eb
629.8/312
QA 402.3 / M698b 1973
Bilinear control processes : with applications to engineering, ecology, and medicine / Ronald R. Mohler. - New York : Academic Press, 1973. - 1 online resource (xi, 224 pages) : illustrations. - Mathematics in science and engineering ; v. 106 . - Mathematics in science and engineering ; v. 106. .
Includes bibliographical references and indexes.
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
Use copy
Bilinear control processes: with applications to engineering, ecology, and medicine.
Electronic reproduction.
[S.l.] :
HathiTrust Digital Library,
2010.
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.
http://purl.oclc.org/DLF/benchrepro0212
9780125041409 (electronic bk.) 0125041403 (electronic bk.) 9780080956152 (electronic bk.) 0080956157 (electronic bk.) 1282288830 9781282288836
Control theory.
Automatic control.
Biological control systems.
Mathematics.
Mathematics
Théorie de la commande.
Commande automatique.
Régulation (Biologie)
Mathématiques.
mathematics.
applied mathematics.
TECHNOLOGY & ENGINEERING--Automation.
TECHNOLOGY & ENGINEERING--Robotics.
Automatic control.
Biological control systems.
Control theory.
Bilinear control systems
Electronic books.
Electronic books.
QA402.3 / .M63 1973eb
629.8/312
QA 402.3 / M698b 1973