Linear, Time-varying Approximations to Nonlinear Dynamical Systems with Applications in Control and Optimization /

• Main Authors: Toms̀-Rodrg̕uez, Mara̕. (Author), Banks, Stephen P. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: London : Springer London, 2010.
• Series: Lecture Notes in Control and Information Sciences, 411
• Subjects: Engineering.; Systems theory.; Mathematical optimization.; Control.; Optimization.; Statistical Physics, Dynamical Systems and Complexity.; Systems Theory, Control.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-84996-101-1

Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those <U+0013&g...

Table of Contents:

• Introduction
• Basic Approximation Theory
• Linear, Time-varying Systems
• General Spectral Theory of Nonlinear Systems
• Spectral Assignment in Linear, Time-varying Systems
• Optimal Control of Nonlinear Systems
• Application to Nonlinear Sliding-mode Control
• Connection with Fixed-point Theory and Existence of Periodic Solutions
• Generalisations to Partial Differential Equations
• Summary, Conclusions and Prospects for Development
• Appendices.