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The chapters of this book have been presented at the 1st Workshop of the Nonlinear Control Network , which was held in Ghent, March 15,16, 1999. These contributions give an overview of some of the current and emerging trends in nonlinear systems and control theory. As editors of this book we would very much like to thank the speakers at this workshop for their sti- lating presentations and for their efforts to bring this material to its current form, which we are sure will provide stimulating reading as well. Dirk Aeyels Franchise Lamnabhi-Lagarrigue Arjan J. van der Schaft 'The Nonlinear Control Network is a four year project within the framework of the European Commission's Training and Mobility of Researchers (TMR) Programme that started on December 1, 1997. There are nine partners involved: Dirk Aeyels Universiteit Gent Dirk. Asysls4rug. ac. be Belgium Alfonso Banos Universidad de Murcia abanostdif. um. es Spain Fritz Colonius Universitat Augsburg ColoniusCmath. uni-augsburg. de Germany Alberto Isidori Universita di Roma isidoriCgiannutri. caspur. it Italy Francoise Lamnabhi-Lagarrigue Centre National de la Recherche Scientifique lamnabhiClss. supslsc. fr France (coordinator) David H. Owens University of Sheffield D. H. OnensCshsffield. ac. uk England Arjan J. van der Schaft Universiteit Twente a. j. vanderschaftCmath. ut8ents. nl The Netherlands Fatima Silva Leite Universidade de Coimbra fleiteCmat. uc. pt Portugal John Tsinias National Technical University of Athens jtsinCmath. ntua. gr Greece url: Nonlinear Control Network supelec. fr/lss/NCN Contents 1.
List of contents
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.
Summary
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.
