A SYNCHRONIZATION CONDITION FOR COUPLED NONLINEAR SYSTEMS WITH TIME-DELAY: A FREQUENCY DOMAIN APPROACH

DOI10.1142/S0218127411029902zbMath1248.34081OpenAlexW2139063250MaRDI QIDQ3165845

Toshiki Oguchi, Henk Nijmeijer

Publication date: 19 October 2012

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127411029902

zbMATH Keywords

absolute stabilitytime-delaychaos synchronizationcircle criterion

Mathematics Subject Classification ID

Feedback control (93B52) Frequency-response methods in control theory (93C80) Stability theory of functional-differential equations (34K20) Control problems for functional-differential equations (34K35) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (4)

Partial synchronization in diffusively time-delay coupled oscillator networks ⋮ Estimation of Synchronization Patterns of Chaotic Systems in Cartesian Product Networks with Delay Couplings ⋮ Delay-independent Synchronization in Ring Networks of Identical/Non-identical Systems with Transmission Delay Couplings ⋮ NETWORK SYNCHRONIZATION BY DYNAMIC DIFFUSIVE COUPLING

Cites Work

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• New criteria for synchronization stability of general complex dynamical networks with coupling delays
• New delay-dependent synchronization criteria for Lur'e systems using time delay feedback control
• Extension of Popov absolute stability criterion to non-autonomous systems with delays
• Synchronization in chaotic systems

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