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.
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