Dynamics control by a time-varying feedback
Journal of Dynamical and Control Systems
Automatica (Journal of IFAC)
SIAM Journal on Control and Optimization
Null Controllability of a Parabolic System with a Cubic Coupling Term
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
Gas Flow in Fan-Shaped Networks: Classical Solutions and Feedback Stabilization
SIAM Journal on Control and Optimization
Stabilization for an ensemble of half-spin systems
Automatica (Journal of IFAC)
SIAM Journal on Control and Optimization
Controllability and Time Optimal Control for Low Reynolds Numbers Swimmers
Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
Enhanced Controllability of Low Reynolds Number Swimmers in the Presence of a Wall
Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
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This book presents methods to study the controllability and the stabilization of nonlinear control systems in finite and infinite dimensions. The emphasis is put on specific phenomena due to nonlinearities. In particular, many examples are given where nonlinearities turn out to be essential to get controllability or stabilization. Various methods are presented to study the controllability or to construct stabilizing feedback laws. The power of these methods is illustrated by numerous examples coming from such areas as celestial mechanics, fluid mechanics, and quantum mechanics. The book is addressed to graduate students in mathematics or control theory, and to mathematicians or engineers with an interest in nonlinear control systems governed by ordinary or partial differential equations.