An Integral Invariance Principle for Differential Inclusions with Applications in Adaptive Control
SIAM Journal on Control and Optimization
Brief paper: Synchronization of coupled harmonic oscillators in a dynamic proximity network
Automatica (Journal of IFAC)
Second-order consensus for multiagent systems with directed topologies and nonlinear dynamics
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on game theory
Brief paper: Design of highly synchronizable and robust networks
Automatica (Journal of IFAC)
Synchronization of coupled harmonic oscillators with local instantaneous interaction
Automatica (Journal of IFAC)
Two consensus problems for discrete-time multi-agent systems with switching network topology
Automatica (Journal of IFAC)
Consensus in switching networks with sectorial nonlinear couplings: Absolute stability approach
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
This paper studies synchronization of coupled second-order linear harmonic oscillators with local interaction. We analyze convergence conditions over, respectively, directed fixed and switching network topologies by using tools from algebraic graph theory, matrix theory, and nonsmooth analysis. It is shown that the coupled harmonic oscillators can be synchronized under mild network connectivity conditions. Examples are given to validate the convergence conditions. The theoretical result is also applied to synchronized motion coordination of multi-agent systems as a proof of concept.