**Control and Nonlinearity**

by Jean-Michel Coron

**Publisher**: American Mathematical Society 2009**ISBN/ASIN**: 0821849182**Number of pages**: 444

**Description**:

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.

Download or read it online for free here:

**Download link**

(4MB, PDF)

## Similar books

**Linear Matrix Inequalities in System and Control Theory**

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.

(

**13513**views)

**Constructive Nonlinear Control**

by

**R. Sepulchre, M. Jankovic, P. Kokotovic**-

**Springer**

Several streams of nonlinear control theory are directed towards a constructive solution of the feedback stabilization problem. Analytic, geometric and asymptotic concepts are assembled as design tools for a wide variety of nonlinear phenomena.

(

**16325**views)

**Control Theory: From Classical to Quantum Optimal, Stochastic, and Robust Control**

by

**M.R. James**-

**Australian National University**

These notes are an overview of some aspects of optimal and robust control theory considered relevant to quantum control. The notes cover classical deterministic optimal control, classical stochastic and robust control, and quantum feedback control.

(

**12939**views)

**Linear Controller Design: Limits of Performance**

by

**Stephen Boyd, Craig Barratt**-

**Prentice-Hall**

The book is motivated by the development of high quality integrated sensors and actuators, powerful control processors, and hardware and software that can be used to design control systems. Written for students and industrial control engineers.

(

**13809**views)