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

Format:

Book

Author/Creator:

Mohler, Ronald R.

Series:

Mathematics in science and engineering ; v. 106.

Mathematics in science and engineering ; v. 106

Language:

English

Subjects (All):

Control theory.

Automatic control.

Physical Description:

1 online resource (237 p.)

Place of Publication:

New York : Academic Press, 1973.

Language Note:

English

Summary:

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

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

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

1-282-28883-0

9786612288838

0-08-095615-7

OCLC:

316549572