Stabilization for Stochastic Coupled Kuramoto Oscillators via Nonlinear Distributed Feedback Control

Rui Kang and Shang Gao ()
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Rui Kang: Department of Mathematics, Northeast Forestry University, Harbin 150040, China
Shang Gao: Department of Mathematics, Northeast Forestry University, Harbin 150040, China

Mathematics, 2022, vol. 10, issue 18, 1-9

Abstract: This paper investigates the stabilization for stochastic coupled Kuramoto oscillators (SCKOs) via nonlinear distributed feedback control. An original nonlinear distributed feedback control with the advantages of fast response, no steady-state deviation, and easy implementation is designed to stabilize SCKOs. With the help of the Lyapunov method and stochastic analysis skills, some novel sufficient conditions guaranteeing the stochastic stability for SCKOs are provided by constructing a new and suitable Lyapunov function for SCKOs. Finally, a numerical example is given to illustrate the effectiveness and applicability of the theoretical result.

Keywords: stabilization; stochastic coupled Kuramoto oscillators; nonlinear distributed feedback control; Lyapunov method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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