具有不同节点的复杂动态网络有限时间部分状态分量同步控制

吴曼; 张丽丽

doi:10.12052/gdutxb.220114

欢迎来到能源电力期刊网！

English Version 期刊登录

您当前的位置：

首页 >

文章列表页 >

具有不同节点的复杂动态网络有限时间部分状态分量同步控制

综合研究 | 更新时间：2026-05-27

- 具有不同节点的复杂动态网络有限时间部分状态分量同步控制
- Finite-time Partial State Components Synchronization Control for Complex Dynamical Networks with Nonidentical Nodes
- 广东工业大学学报 2023年40卷第4期页码：94-101
- 作者机构：
  
  广东工业大学数学与统计学院,广东,广州,510520
- 作者简介：
  
  吴曼(1998–) ，女，硕士研究生，主要研究方向为复杂动态网络部分状态分量同步控制
  张丽丽(1978–) ，女，副教授，硕士生导师，主要研究方向为复杂网络与复杂系统的控制, E-mail: zh_lili@gdut.edu.cn
- 基金信息：
  
  国家自然科学基金资助项目(61603098);广东省基础与应用基础研究基金资助项目(2020A1515010809)
- DOI：10.12052/gdutxb.220114
  中图分类号： TP273
- 网络首发：2023-07-25，
  
  纸质出版：2023
- 稿件说明：
移动端阅览
吴曼, 张丽丽. 具有不同节点的复杂动态网络有限时间部分状态分量同步控制[J]. 广东工业大学学报, 2023, 40(4): 94-101.

Wu Man, Zhang Li-li. Finite-time Partial State Components Synchronization Control for Complex Dynamical Networks with Nonidentical Nodes[J]. 2023, 40(4): 94-101.
吴曼, 张丽丽. 具有不同节点的复杂动态网络有限时间部分状态分量同步控制[J]. 广东工业大学学报, 2023, 40(4): 94-101. DOI： 10.12052/gdutxb.220114.

Wu Man, Zhang Li-li. Finite-time Partial State Components Synchronization Control for Complex Dynamical Networks with Nonidentical Nodes[J]. 2023, 40(4): 94-101. DOI： 10.12052/gdutxb.220114.

摘要

针对一类由不同节点组成的复杂动态网络，提出了一种分散控制策略以实现有限时间部分状态分量同步(只考虑网络中每个节点的部分状态分量在有限时间内达到同步) 。首先，为了方便理论分析及推导，引入了一个特殊对角矩阵来表述每个节点所需关注的状态分量。其次，基于此特殊对角矩阵，给出了有限时间部分状态分量同步的定义。与有限时间同步相比，有限时间部分状态分量同步更广泛。再次，结合控制理论以及有限时间稳定性定理，提出了分散控制策略使网络实现有限时间部分状态分量同步。最后，通过一个仿真例子，验证了控制方法的有效性与正确性。

Abstract

For a class of complex dynamic networks composed of nonidentical nodes

a decentralized control strategy is proposed to achieve the finite-time partial state components synchronization. The finite-time partial state components synchronization means that only some

not all

state components of each node in the network can achieve synchronization in finite time. Firstly

for the convenience of the theoretical analyses and derivation

a special diagonal matrix is introduced

which can formulate the desired state components of each node. Secondly

based on this special diagonal matrix

the finite-time partial state components synchronization is defined . Compared to the finite-time synchronization

the finite-time partial state components synchronization is more popular. Thirdly

according to both the control theory and the finite-time stability theorem

a decentralized control strategy is proposed

so that our networks can achieve the finite-time partial state components synchronization. Finally

a simulation example is shown to verify the effectiveness and correctness of the proposed control strategy in this paper.

关键词

Keywords

references

LI C G, CHEN L N, AIHARA K. Synchronization of coupled nonidentical genetic oscillators [J]. Physical Biology, 2006, 3(1): 37-44.

BOCCALETTI S, LATORA V, MORENO Y, et al . Complex networks: structure and dynamics [J ] . Physics Reports, 2006, 424(4/5): 175-308.

LIU H J, MA L F, WANG Z D, et al . An overview of stability analysis and state estimation for memristive neural networks [J ] . Neurocomputing, 2020, 391: 1-12.

HONGSRI A, BOTMART T, WEERA W, et al . New delay-dependent synchronization criteria of complex dynamical networks with time-varying coupling delay based on sampled-data control via new integral inequality [J ] . IEEE Access, 2021, 9: 64958-64971.

LAI X, WU J Z, ZHANG Z, et al . Synchronous vibration system of multi-hammer and synchronous control strategy [J ] . Journal of Vibration and Shock, 2012, 31(3): 147-152.

LYV L, LI C R, BAI S Y, et al . Synchronization of uncertain time-varying network based on sliding mode control technique [J ] . Physica A:Statistical Mechanics and its Applications, 2017, 482: 808-817.

TONG L Y, LIANG J L, LIU Y. Generalized cluster synchronization of Boolean control networks with delays in both the states and the inputs [J]. Journal of the Franklin Institute, 2022, 359(1): 206-223.

HE X L, ZHANG H Y. Exponential synchronization of complex networks via feedback control and periodically intermittent noise [J]. Journal of the Franklin Institute, 2022, 359(8): 3614-3630.

ARELLANO-DELGADO A, LÓPEZ-GUTIÉRREZ R M, MÉNDEZ-RAMÍREZ R, et al . Dynamic coupling in small-world outer synchronization of chaotic networks [J ] . Physica D:Nonlinear Phenomena, 2021, 423: 132928.

RUAN Z Y, LI Y Y, HU J H, et al . Finite-time synchronization of the drive-response networks by event-triggered aperiodic intermittent control [J ] . Neurocomputing, 2022, 485: 89-102.

ZHAO Y S, LI X D, RAO R F. Synchronization of nonidentical complex dynamical networks with unknown disturbances via observer-based sliding mode control [J]. Neurocomputing, 2021, 454: 441-447.

LI Y, SONG F Y, LIU J L, et al . Decentralized event-triggered synchronization control for complex networks with nonperiodic DoS attacks [J ] . International Journal of Robust and Nonlinear Control, 2022, 32(3): 1633-1653.

WANG Y, SONG H Y, CHEN G Y, et al . p components of cluster-lag consensus for second-order multiagent systems with adaptive controller on cooperative-competitive networks [J ] . IEEE Transactions on Cybernetics, 2023, 53(5): 2852-2863.

LI F B, MA Z J, DUAN Q C. Clustering component synchronization in a class of unconnected networks via pinning control [J]. Physica A:Statistical Mechanics and its Applications, 2019, 525: 394-401.

XIAO F, WANG L, CHEN J. Partial state consensus for networks of second-order dynamic agents [J]. Systems Control Letters, 2010, 59: 775-781.

LI F B, MA Z J, DUAN Q C. Partial component synchronization on chaotic networks [J]. Physica A:Statistical Mechanics and its Applications, 2019, 515: 707-714.

HU W J, ZHANG G, MA Z J, et al . Partial component consensus of discrete-time multiagent systems [J ] . Mathematical Problems in Engineering, 2019, 2019: 4725418.

ZHANG Z C, MA Z J, WANG Y. Partial component consensus of leader-following multi-agent systems via intermittent pinning control [J]. Physica A:Statistical Mechanics and its Applications, 2019, 536: 122569.

WU B B, MA Z J, WANG Y. Partial component consensus of leader-following multi-agent systems [J]. Acta Physica Sinica, 2017, 66(6): 5-11.

ZHAO J, HILL D J, LIU T. Synchronization of dynamical networks with nonidentical nodes: criteria and control [J]. IEEE Transactions on Circuits and Systems I-Regular Papers, 2011, 58(3): 584-594.

LUO J, QU S C, XIONG Z L, et al . Observer-based finite-time modified projective synchronization of multiple uncertain chaotic systems and applications to secure [J ] . IEEE Access, 2019, 7: 65527-65543.

XIAO F, GAN Q T. Finite-time synchronization of delayed complex dynamical network via pinning control [J]. Advances in Difference Equations, 2017, 2017(1): 345.

WANG J L, WANG Q, WU H N, et al . Finite-time output synchronization and H ∞ output synchronization of coupled neural networks with multiple output couplings [J ] . IEEE Transactions on Cybernetics, 2021, 51(12): 6041-6053.

SHI Y J, MA Y. Finite/fixed-time synchronization for complex networks via quantized adaptive control [J]. Electronic Research Archive, 2021, 29(2): 2047-2061.

ZHANG W L, YANG X S, YANG S J, et al . Finite-time and fixed-time bipartite synchronization of complex networks with signed graphs [J ] . Mathematics and Computers in Simulation, 2021, 188: 319-329.

LI J R, JIANG H J, HU C, et al . Analysis and discontinuous control for finite-time synchronization of delayed complex dynamical networks [J ] . Chaos, Solitons Fractals, 2018, 114: 291-305.

DONG Y, CHEN J W, XIAN J G. Event-triggered control for finite-time lag synchronisation of time-delayed complex networks [J]. IET Control Theory and Applications, 2018, 12: 1916-1923.

TANG Y. Terminal sliding mode control for rigid robots [J]. Automatica, 1998, 34(1): 51-56.

HARDY G, LITTLEWOOD J, POLYA G. Inequalities[M]. Cambridge: Cambridge University Press, 1952.

WANG Y H, WANG W L, ZHANG L L. State synchronization of controlled nodes via the dynamics of links for complex dynamical networks [J]. Neurocomputing, 2020, 384: 225-230.

CHANG W D. Parameter identification of Rossler's chaotic system by an evolutionary algorithm [J]. Chaos, Solitons Fractals, 2006, 29(5): 1047-1053.

ZHANG L L, LEI Y F, WANG Y H, et al . Matrix projective synchronization for time-varying disturbed networks with uncertain nonlinear structures and different dimensional nodes [J ] . Neurocomputing, 2018, 311: 11-23.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

具守恒量波动方程的循环双子网物理信息神经网络

储能变流器电能质量治理策略研究

面向灾后救援的多无人机通感算一体化资源分配优化方法

融合沟道倾斜角的3D NAND存储单元建模及编程策略优化

基于AAGV-YOLOX模型的输电线路异物检测研究