基于间歇控制策略的双层网络广义同步

Generalized synchronization of two-layer networks based on intermittent control strategy

复杂网络是刻画现实世界的有效工具,而同步现象是复杂网络中最为普遍的现象之一,广义同步更因其普适性吸引着研究者的目光.本文研究单向耦合双层驱动-响应网络的广义同步问题.判定广义同步存在的辅助系统方法因其简单有效自提出起便被广泛使用,并于21世纪初被推广应用于复杂网络.而对于不能自发同步的网络,间歇控制是一种常见且有效的控制机制.间歇控制策略不仅符合现实场景,还能够减少通信,节约控制资源基于此,本文研究单向耦合双层网络的层间广义同步,并利用辅助系统方法,提出间歇控制策略下的双层网络广义同步准则.首先,本文提出线性反馈牵制间歇控制机制下的网络广义同步准则.进一步,为节约控制资源,考虑自适应牵制控制器在间歇控制策略下的网络广义同步问题.本文从理论和仿真两方面证实了间歇控制策略下的双层网络层间广义同步可行性。

Complex networks serve as effective tools for modeling real-world phenomena,with synchronization being one of the most ubiquitous dynamical behaviors.Generalized synchronization,due to its universality,has garnered considerable research attention.This paper investigates the generalized synchronization problem in unidirectionally coupled two-layer drive-response networks.The widely adopted auxiliary system method,effective since its inception,has been extended and applied to complex networks in the early years of the 2lst century.For networks unable to achieve spontaneous synchronization,intermittent control is emerging as a common and effective mechanism.Intermittent control not only accords with real-world scenarios but also reduces communication overhead,thereby optimizing control resources.Our study delves into inter-layer generalized synchronization within unidirectionally coupled two-layer networks.Leveraging the auxiliary system method,we propose a criterion for generalized synchronization in two-layer networks under intermittent control strategies.First,we propose a generalized synchronization criterion in networks under intermittent control with linear feedback pinning.Furthermore,to conserve control resources,we explore the application of an adaptive pinning controller to the generalized synchronization problem under intermittent control strategies.The feasibility of inter-layer generalized synchronization in two-layer networks under intermittent control is validated through both theoretical analysis and simulations.