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

• Main Authors: Tomás-Rodríguez, María (Author), Banks, Stephen P. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2010.
• Series: Lecture Notes in Control and Information Sciences, 411
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; System theory.; Mathematical optimization.; Operations research.; Management science.; Statistical physics.; Dynamical systems.; Control engineering.; Dynamical Systems and Ergodic Theory.; Operations Research, Management Science.; Control.; Optimization.; Statistical Physics, Dynamical Systems and Complexity.; Systems Theory, Control.

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 – well-known...

Table of Contents:

• to Nonlinear Systems
• Linear Approximations to Nonlinear Dynamical Systems
• The Structure and Stability of Linear, Time-varying Systems
• General Spectral Theory of Nonlinear Systems
• Spectral Assignment in Linear, Time-varying Systems
• Optimal Control
• Sliding Mode Control for Nonlinear Systems
• Fixed Point Theory and Induction
• Nonlinear Partial Differential Equations
• Lie Algebraic Methods
• Global Analysis on Manifolds
• Summary, Conclusions and Prospects for Development.