Control and Nonlinearity
by Jean-Michel Coron
Publisher: American Mathematical Society 2009
Number of pages: 444
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.
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by S. Boyd, L. El Ghaoui, E. Feron, V. Balakrishnan
The authors reduce a wide variety of problems arising in system and control theory to a handful of optimization problems that involve linear matrix inequalities. These problems can be solved using recently developed numerical algorithms.
by Eduardo D. Sontag - Springer
This textbook introduces the basic concepts of mathematical control and system theory in a self-contained and elementary fashion. Written for mathematically mature undergraduate or beginning graduate students, as well as engineering students.
by Andrew Whitworth - Wikibooks
An inter-disciplinary engineering text that analyzes the effects and interactions of mathematical systems. This book is for third and fourth year undergraduates in an engineering program. It considers both classical and modern control methods.
by Richard M. Murray - Society for Industrial Mathematics
The prospects for control in the current and future technological environment. The text describes the role the field will play in commercial and scientific applications over the next decade, and recommends actions required for new breakthroughs.