Stability and Stabilization of Nonlinear Systems

The first of 5 volumes to be published from the first Nonlinear Control Network Workshop Contributions come from internationally renowned experts in this field A unique collection of papers providing a comprehensive overview and introduction to this exciting area of research

Texte du rabat
These papers were presented at the first EC-TMR Nonlinear Control Network Workshop, on Stability and Stabilization of Nonlinear Systems, that took place in March 1999, Ghent, Belgium. The TMR programme offers a unique opportunity for the academic community to expand their knowledge, share their experience and identify and discuss strategic issues in aspects of nonlinear control engineering. The aim is to create a resource centre of available expertise and research interests. This outstanding reference volume presents current and emerging research directions, including: Stability analysis of nonlinear dynamical systems and converse Lyapunov theorems; Stabilization and regulation of nonlinear dynamical control systems; Control of physical systems using physics-based Lyapunov functions and passivity, as well as bifurcation analysis and optimal control. This collection of peer-reviewed papers provides a comprehensive overview of this field of research for graduate students and researchers in engineering and applied mathematics.

Résumé
This volume presents research directions, including: stability analysis of nonlinear dynamical systems and converse Lyapunov theorems; stabilization and regulation of nonlinear dynamical control systems; and control of physical systems using physics-based Lyapunov functions and passivity.

Contenu
Disturbance attenuation for discrete-time feedforward nonlinear systems.- Further results on decoupling with stability for Hamiltonian systems.- Issues in modelling and control of mass balance systems.- Control of dynamic bifurcations.- Extension of Popov criterion to time-varying nonlinearities: LMI, frequential and graphical conditions.- Uniqueness of control sets for perturbations of linear systems.- Design of control Lyapunov functions for Jurdjevic-Quinn systems.- Bifurcation analysis of a power factor precompensator.- Stabilization by sampled and discrete feedback with positive sampling rate.- Linear controllers for tracking chained-form systems.- Asymptotic methods in stability analysis and control.- Robust point-stabilization of nonlinear affine control systems.- Stabilization of port-controlled Hamiltonian systems via energy balancing.- Invariant tracking and stabilization: problem formulation and examples.- Control of mechanical structures by piezoelectric actuators and sensors.- A novel impedance grasping strategy as a generalized hamiltonian system.- A nonsmooth hybrid maximum principle.- A converse Lyapunov theorem for robust exponential stochastic stability.- LMIs for robust stable neural model-based control.