edited by Gennady Leonov (St Petersburg State University, Russia), Henk Nijmeijer (Eindhoven University of Technology, The Netherlands), Alexander Pogromsky (Eindhoven University of Technology, The Netherlands), & Alexander Fradkov (Institute for Problems of Mechanical Engineering, St Petersburg, Russia)

Table of Contents (164k)
Preface (97k)
Chapter 1: Huijgens' Synchronization: A Challenge (360k)

The papers in this edited volume aim to provide a better understanding of the dynamics and control of a large class of hybrid dynamical systems that are described by different models in different state space domains. They not only cover important aspects and tools for hybrid systems analysis and control, but also a number of experimental realizations. Special attention is given to synchronization — a universal phenomenon in nonlinear science that gained tremendous significance since its discovery by Huygens in the 17th century. Possible applications of the results introduced in the book include control of mobile robots, control of CD/DVD players, flexible manufacturing lines, and complex networks of interacting agents.

The book is based on the material presented at a similarly entitled minisymposium at the 6th European Nonlinear Dynamics Conference held in St Petersburg in 2008. It is unique in that it contains results of several international and interdisciplinary collaborations in the field, and reflects state-of-the-art technological development in the area of hybrid mechanical systems at the forefront of the 21st century.

• Huijgens' Synchronization: A Challenge (H Nijmeijer & A Y Pogromsky)
• Lyapunov Quantities and Limit Cycles of Two-Dimensional Dynamical Systems (N V Kuznetsov & G A Leonov)
• Absolute Observation Stability for Evolutionary Variational Inequalities (G-A Leonov & V Rietmann)
• A Discrete-Time Hybrid Lurie Type System (V N Belykh & B Ukrainsky)
• Frequency Domain Performance Analysis of Marginally Stable LTI Systems with Saturation (R A van den Berg et al.)
• Reduction of Steady-State Vibrations in a Piecewise Linear Beam System Using Proportional and Derivative Control (R H B Fey et al.)
• Hybrid Quantised Observer for Multi-Input-Multi-Output Nonlinear Systems (A L Fradkov et al.)
• Tracking Control of Multiconstraint Nonsmooth Lagrangian Systems (C Morarescu et al.)
• Stability and Control of Lur'e-Type Measure Different Inclusions (N van de Wouw & R I Leine)
• Synchronization Between Coupled Oscillators: An Experimental Approach (D J Rijlaarsdam et al.)
• Swinging Control of Two-Pendulums System Under Energy Constraints (M S Ananyevskiy et al.)
• Two Van der Pol-Duffing Oscillators with Huygens Coupling (V N Belykh et al.)
• Synchronization of Diffusively Coupled Electronic Hindmarsh-Rose Oscillators (E Steur et al.)
• Multipendulum Mechatronic Setup for Studying Control and Synchronization (A L Fradkov et al.)
• High-Frequency Effects in 1D Spring-Mass Systems with Strongly Nonlinear Inclusions (B S Lazarov et al.)