The Dynamics of Control
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From the reviews:
"The scope of the present book is comprehensive and includes a variety of topics related to the theory of systems and control. The main frame is the notion of control flow with its global dynamics and linearization. Time-varying perturbations, global and local dynamics of control systems, as well as relevant numerical methods are treated.. The book is an excellent resource for the foundations and applications of control theory and nonlinear dynamics for mathematicians, physicists, and engineers. The point of view of the authors, who incorporated into this treatise a variety of topics from fields that were often considered rather separately, makes the book especially interesting." -Applications of Mathematics
"The Dynamics of Control provides a non traditional approach to the subjects of Dynamical Systems theory and Control theory. It is probably the first book where such notions as Morse decomposition, chain recurrence from dynamical systems theory are systematically used for control systems. . self contained appendix is very helpful. . The book contains many examples which are helpful in mastering the material. . Also, the systematic use of dynamical systems theory as applied to control systems should be interesting to control theorists." (V. Zharnitsky, Dynamical Systems Magazine, April, 2008)
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Persons
Diederich Hinrichsen is a retired Professor of Mathematical Systems Theory at the University of Bremen.
Anthony J. Pritchard († 2007) was Professor of Mathematics and founder and director of the Control Theory Centre at the University of Warwick.
Fritz Colonius is a retired Professor of Applied Mathematics at the University of Augsburg. His main research interest is the interplay of control theory and dynamical systems theory.
Tobias Damm is Professor for Systems and Control Theory at RPTU University Kaiserslautern-Landau. His research interests include linear algebra and numerical analysis and the application of these to control theory.
Achim Ilchmann held a chair in Applied Mathematics at the Technical University of Ilmenau until his retirement in 2022. His research interests include the algebraic theory of time-varying linear systems, adaptive control, and Baroque architecture.
Birgit Jacob has been with the University of Wuppertal, Germany, since 2010, where she is a full professor in analysis. Her current research interests include the area of infinite-dimensional systems and operator theory, particularly well-posed linear systems and port-Hamiltonian systems.
Fabian R. Wirth is Professor for Dynamical Systems at the University of Passau. His research interests include stability theory, switched systems, infinite-dimensional and large-scale systems.