Synchronization of impacting mechanical systems with a single constraint

DOI10.1016/j.physd.2017.10.002zbMath1375.70075OpenAlexW2763007837MaRDI QIDQ1683470

Nathan van de Wouw, J. J. Benjamin Biemond, Remco I. Leine, Michael Heinrich Baumann

Publication date: 1 December 2017

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://research.tue.nl/nl/publications/06d84853-f58c-42fc-8801-cc56578f53cf

zbMATH Keywords

Lyapunov stabilitysynchronizationhybrid systemmeasure differential inclusionunilateral constraint

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Control of mechanical systems (70Q05) Control problems for functional-differential equations (34K35) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (3)

Control of systems with time varying unilateral constraints using robust and optimal controllers: A homogeneity framework ⋮ State observers for the time discretization of a class of impulsive mechanical systems ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Energetic consistency conditions for standard impacts. I: Newton-type inequality impact laws and Kane's example
• Partial synchronization: from symmetry towards stability
• Synchronization. From simple to complex
• Nonsmooth mechanics. Models, dynamics and control.
• Towards a stability theory of general hybrid dynamical systems
• On self-synchronization and controlled synchronization
• Uniqueness and continuous dependence on data for one-dimensional impact problems.
• An introduction to hybrid dynamical systems
• The natural pseudo-distance as a quotient pseudo-metric, and applications
• Distance function design and Lyapunov techniques for the stability of hybrid trajectories
• Stability and convergence of mechanical systems with unilateral constraints
• Metrization and Simulation of Controlled Hybrid Systems
• Observer-based control of linear complementarity systems
• Synchronization of Mechanical Systems
• A synchronization-based state observer for impact oscillators using only collision time information
• On the control of finite-dimensional mechanical systems with unilateral constraints
• Variational Analysis
• Asymptotic tracking of periodic trajectories for a simple mechanical system subject to nonsmooth impacts
• Incremental Stability of Hybrid Dynamical Systems
• Fundamentals of synchronization in chaotic systems, concepts, and applications
• Tracking Control for Hybrid Systems With State-Triggered Jumps
• Global Analysis of a Continuum Model for Monotone Pulse-Coupled Oscillators
• Follow the Bouncing Ball: Global Results on Tracking and State Estimation With Impacts
• Networks of diffusively time-delay coupled systems: Conditions for synchronization and its relation to the network topology

This page was built for publication: Synchronization of impacting mechanical systems with a single constraint