| Description |
1 online resource (xiii, 722 pages) : illustrations |
| Series |
Series on stability, vibration, and control of systems, series A ; volume 19 |
|
Series on stability, vibration, and control of systems. Series A ; v. 19
|
| Contents |
1. Introduction. 1.1. Geometrical preliminaries. 1.2. Quantum preliminaries -- 2. Basics of classical control theory. 2.1. Linear systems and signals. 2.2. Nonlinear control systems -- 3. Euclidean group in modern robotics and biomechanics. 3.1. Introduction to Euclidean group. 3.2. Euclidean group in modern robotics. 3.3. Euclidean group in modern biomechanics -- 4. Quantum control: theory and measurement. 4.1. Introduction to quantum control. 4.2. Quantum stochastic systems: [symbol] and LQG controls. 4.3. Quantum control landscapes. 4.4. Open quantum systems. 4.5. Discrete control example: minimal quantum tic-tac-toe. 4.6. Biological example: electrical muscular stimulation -- 5. Control and synchronization in complex systems and human crowds. 5.1. Arrays of coupled nonlinear oscillators. 5.2. Introduction to crowd dynamics. 5.3. Group dynamics with psycho-physical conflict behaviors. 5.4. Crowd dualities: geometrical, topological and physical. 5.5. Gauge-field dynamics of large human crowds. 5.6. Crowd turbulence and nonlinear crowd waves. 5.7. Topological panic in crowd behaviors. 5.8. Nonlinear adaptive wave models for option pricing -- 6. Appendix. 6.1. Algebraic preliminaries. 6.2. Manifolds and Lie groups. 6.3. Lagrange multipliers and Hessian matrix. 6.4. Path integral quantization. 6.5. Geometric quantization. 6.6. Crowd behavior dynamics in the life space foam. 6.7. Braids and entropies |
| Summary |
New Trends in Control Theory is a graduate-level monographic textbook. It is a contemporary overview of modern trends in control theory. The introductory chapter gives the geometrical and quantum background, which is a necessary minimum for comprehensive reading of the book. The second chapter gives the basics of classical control theory, both linear and nonlinear. The third chapter shows the key role that Euclidean group of rigid motions plays in modern robotics and biomechanics. The fourth chapter gives an overview of modern quantum control, from both theoretical and measurement perspectives. The fifth chapter presents modern control and synchronization methods in complex systems and human crowds. The appendix provides the rest of the background material complementary to the introductory chapter. The book is designed as a one-semester course for engineers, applied mathematicians, computer scientists and physicists, both in industry and academia. It includes a most relevant bibliography on the subject and detailed index |
| Bibliography |
Includes bibliographical references (pages 663-705) and index |
| Notes |
Print version record |
| Subject |
Control theory.
|
| Form |
Electronic book
|
| Author |
Ivancevic, Tijana T., author
|
| ISBN |
1283900106 (MyiLibrary) |
|
9781283900102 (MyiLibrary) |
|
9789814425957 (electronic bk.) |
|
9814425958 (electronic bk.) |
|
