Understanding Complex Systems: A Differential and Algebraic Viewpoint

Martínez-Guerra, Rafael; Cruz-Ancona, Christopher Diego

This book acquaints readers with recent developments in dynamical systems theory and its applications, with a strong focus on the control and estimation of nonlinear systems.

Several algorithms are proposed and worked out for a set of model systems, in particular so-called input-affine or bilinear systems, which can serve to approximate a wide class of nonlinear control systems. These can either take the form of state space models or be represented by an input-output equation.

The approach taken here further highlights the role of modern mathematical and conceptual tools, including differential algebraic theory, observer design for nonlinear systems and generalized canonical forms.

Details

Published by: Springer

Publication Date: 2018-07-19

Format: Paperback

ISBN-13: 9783319850467

DOI: 10.1007/978-3-319-53040-6

Dimensions: 235cm x155cm

Pages: 197