Abstract
Synchronization and coordination of coupled oscillators are fundamental behaviors in complex dynamical systems. This paper considers the design of coupled harmonic oscillators to generate an orbitally stable limit cycle of prescribed oscillation profile. Based on the Floquet theory and averaging techniques, necessary and sufficient conditions are obtained for nonlinear coupling functions to achieve local exponential convergence to a desired orbit. Unlike globally convergent methods based on contraction analysis, the result applies to oscillators without flow invariance properties. Insights into coordination mechanisms are gained through interpretation of the coupling structure as a directed graph. The theory is illustrated by simple tutorial examples.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
