The Dynamics of Control provides a carefully integrated development
of the mathematical connections between nonlinear control,
dynamical systems, and time-varying perturbed systems for
scientists and engineers. The central theme is the notion of
control flow with its global dynamics and linearization presented
in detail.
The book's scope is comprehensive and includes global theory of
dynamical systems under time-varying perturbations, global and
local dynamics of control systems, connections between control
systems and dynamical systems and the relevant numerical methods
for global dynamics, linearization, and stability. Topics are
developed with a diverse and extensive selection of applied
problems from control and dynamical systems.
Topics and Features:
* complete coverage of unified theory of control flows
* wide array of motivating problems from control and dynamical
systems to appeal to mathematicians, scientists, and engineers
* relevant motivation and a listing of important definitions and
results at the beginning of each chapter
* a compilation of essential background information in four
appendices: nonlinear geometric control, topological theory of
dynamical systems, computations of reachable sets, and numerical
solution of Hamiltona "Jacobia "Belman equations
* discussion of numerical methods
This new text and self-study reference guide is an excellent
resource for the foundations and applications of control theory and
nonlinear dynamics. All graduates, practitioners, and professionals
in control theory, dynamical systems, perturbation theory,
engineering, physics, and nonlinear dynamics will find the book a
rich source of ideas, methods, andapplications.
General
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