Stability and Stabilization of Nonlinear Systems

Tarek Ahmed-Ali, Frédéric Mazenc (auth.), Dirk Aeyels, Françoise Lamnabhi-Lagarrigue, Arjan van der Schaft (eds.)1852336382, 9781852336387

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.

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Table of contents :
Disturbance attenuation for discrete-time feedforward nonlinear systems….Pages 1-17
Further results on decoupling with stability for Hamiltonian systems….Pages 19-51
Issues in modelling and control of mass balance systems….Pages 53-74
Control of dynamic bifurcations….Pages 75-93
Extension of Popov criterion to time-varying nonlinearities: LMI, frequential and graphical conditions….Pages 95-114
Uniqueness of control sets for perturbations of linear systems….Pages 115-135
Design of control Lyapunov functions for “Jurdjevic-Quinn” systems….Pages 137-150
Bifurcation analysis of a power factor precompensator….Pages 151-164
Stabilization by sampled and discrete feedback with positive sampling rate….Pages 165-182
Linear controllers for tracking chained-form systems….Pages 183-199
Asymptotic methods in stability analysis and control….Pages 201-213
Robust point-stabilization of nonlinear affine control systems….Pages 215-237
Stabilization of port-controlled Hamiltonian systems via energy balancing….Pages 239-260
Invariant tracking and stabilization: problem formulation and examples….Pages 261-273
Control of mechanical structures by piezoelectric actuators and sensors….Pages 275-292
A novel impedance grasping strategy as a generalized hamiltonian system….Pages 293-324
A nonsmooth hybrid maximum principle….Pages 325-354
A converse Lyapunov theorem for robust exponential stochastic stability….Pages 355-374
LMIs for robust stable neural model-based control….Pages 375-387