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Stability and Stabilization of Nonlinear Systems

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

Publisher
Springer-Verlag London
Year
1999
Tongue
English
Leaves
390
Series
Lecture Notes in Control and Information Sciences 246
Edition
1
Category
Library
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✦ Synopsis

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.

✦ 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

✦ Subjects

Numerical and Computational Methods in Engineering; Control Engineering

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