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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.
Sample Chapter(s)
Chapter 1: Introduction (959 KB)
Contents:
- Introduction
- Basics of Classical Control Theory
- Euclidean Group in Modern Robotics and Biomechanics
- Quantum Control: Theory and Measurement
- Control and Synchronization in Complex Systems and Human Crowds
Readership: Graduate students and researchers in applied mathematics, engineering, computer science, and physics.
