Books in the Series On Stability, Vibration And Control Of Systems, Series A series

A study of vibrational mechanics, reflecting results on the development of the mathematical apparatus of vibrational mechanics and on the solution of certain applied problems. The main content is preceded by a brief description of the main theses of vibrational mechanics.

For those who want to understand the main ideas in the theory of optimal problems, this book provides a good introduction to classical topics (under the heading of "the calculus of variations") and more modern topics (under the heading of "optimal control").

This book presents a development of the frequency-domain approach to the stability study of stationary sets of systems with discontinuous nonlinearities. The treatment is based on the theory of differential inclusions and the second Lyapunov method.

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.