Stability and stabilization of nonlinear systems : editors, D. Aeyels, F. Lamnabhi-Lagarrigue and A. van der Schaft

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 opporuntity 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 dynammical control systems; Control of physical systems using physics-based Lyapunov functions and passivity, as well as birfucation 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. 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 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. 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.