Adaptive PI Control for Synchronization of Complex Networks With Stochastic Coupling and Nonlinear Dynamics

被引：30

作者：

Gu, Haibo ^{[1
]}

Liu, Kexin ^{[1
]}

Lu, Jinhu ^{[2
,3
]}

机构：

[1] Beihang Univ, Beijing Adv Innovat Ctr Big Data & Brain Comp, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China

[2] Beihang Univ, Sch Automat Sci & Elect Engn, State Key Lab Software Dev Environm, Beijing 100191, Peoples R China

[3] Beihang Univ, Beijing Adv Innovat Ctr Big Data & Brain Comp, Beijing 100191, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2020年 / 67卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Synchronization; Protocols; Couplings; Complex networks; Adaptive control; Adaptation models; complex dynamical network; adaptive PI control; stochastic coupling; cooperative control; MULTIAGENT SYSTEMS; DISTRIBUTED CONTROL; CONSENSUS; TOPOLOGIES; FEEDBACK;

D O I：

10.1109/TCSI.2020.3020146

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In the paper, synchronization of nonlinear dynamical complex networks with stochastic coupling under adaptive PI control is considered. In light of the relative states information of the network nodes, node- and edge-based adaptive PI synchronization protocols are proposed and several sufficient conditions are derived. By employing stochastic analysis techniques combined with a version of the LaSalle's invariant principles applied to stochastic process and Lyapunov function approaches, synchronization of complex networks with nonlinear dynamics and stochastic coupling reaches in mean square via these two types of adaptive PI control protocols are proved. The proposed adaptive PI control protocols for synchronization of complex dynamical networks are useful for future realistic engineering systems design. Numerical examples are finally simulated to validate the theoretical analysis.

引用

页码：5268 / 5280

页数：13

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