Kybernetika 62 no. 2, 190-205, 2026

Prescribed-time outer synchronization of stochastic complex systems with and without pinning control

Meixin Zhen, Huimin Wang and Rui XiaoDOI: 10.14736/kyb-2026-2-0190

Abstract:

This paper investigates prescribed-time outer synchronization in drive-response complex networks with the perturbation of noise. We propose two control frameworks: a general prescribed-time controller and its pinning control variant. Through the stability theory of stochastic differential equations, we establish sufficient conditions that ensure outer synchronization in drive-response systems within a prescribed finite convergence time, independent of both initial conditions and system parameters. The proposed controllers are shown to be continuous and bounded. Numerical simulations demonstrate the effectiveness and feasibility of the proposed control schemes.

Keywords:

pinning control, outer synchronization, noise, prescribed-time, drive-response systems

Classification:

34F05, 34H10

paper.pdf

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