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Behavior of a network of heterogeneous Lienard systems under strong output coupling

Lee, JG and Shim, H (2019) Behavior of a network of heterogeneous Lienard systems under strong output coupling. In: IFAC Symposium on Nonlinear Control Systems, 2019-9-4 to 2019-9-6 pp. 256-261..

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In this paper, to participate in the understanding of a biological system, we analyze the synchronous and oscillatory behavior of coupled Liénard systems. In particular, we will consider a network of heterogeneous Liénard systems under output diffusive coupling to take into account two fundamental characteristics of a biological system. The key idea in this work is to emphasize the role of a network, which introduces an emergent behavior that each individual element approximately follows, hence making elements approximately synchronize. The intuition comes from a series of developments recently made in the name of ‘blended dynamics,’ and thus, the common philosophy of ‘blended dynamics’ approach enables us to illustrate a biological phenomenon that collective behavior is preserved even when there are some malfunctioning elements.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Uncontrolled Keywords: Approximate synchronization oscillations heterogeneous multi agents strong coupling blended dynamics singular perturbations Lienard system internal model principle
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 15 Oct 2020 03:36
Last Modified: 15 Jul 2021 05:50
DOI: 10.1016/j.ifacol.2019.11.788