Eur. Phys. J. B (2012) 85: 166
https://doi.org/10.1140/epjb/e2012-30012-8

Regular Article

Stabilization of a steady state in oscillators coupled by a digital delayed connection

Department of Electrical and Information Systems, Osaka Prefecture University, 1–1 Gakuen-cho, Naka-ku, Sakai, 599-8531 Osaka, Japan

^a e-mail: konishi@eis.osakafu-u.ac.jp

Received: 6 January 2012
Received in final form: 6 March 2012
Published online: 24 May 2012

Abstract

The present paper deals with stabilization of a steady state in a networked oscillator system that consists of oscillators coupled by a digital delayed connection. This connection is realized by a first-in, first-out queue. The semi-discretization technique allows us to obtain a simple characteristic equation for steady-state stability. This equation can be expressed by real polynomials whose coefficients depend on the network topology. The stability analysis based on the characteristic polynomials reveals that the digital delayed connection better facilitates the stabilization of the steady state compared to the well-known continuous-time delayed connection.