Decentralized guaranteed cost dynamic control for synchronization of a complex dynamical network with randomly switching topology

Lee T.H.; Ji D.H.; Park J.H.; Jung H.Y.

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Decentralized guaranteed cost dynamic control for synchronization of a complex dynamical network with randomly switching topology

机译：具有随机切换拓扑的复杂动态网络同步的分散保证成本动态控制

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This paper considers synchronization problem of a complex dynamical network with randomly switching topology which means that the topology of a complex network probabilistically switches. For this problem, a decentralized guaranteed cost dynamic feedback controller is designed to achieve the synchronization of the network. Based on Lyapunov stability theory and linear matrix inequality framework, the existence condition for feasible controllers is derived in terms of linear matrix inequalities. Finally, the proposed method is applied to two numerical examples in order to show the effectiveness of our result.

机译：本文考虑具有随机切换拓扑的复杂动态网络的同步问题，这意味着复杂网络的拓扑可能发生切换。针对这个问题，设计了分散的保证成本动态反馈控制器来实现网络的同步。基于Lyapunov稳定性理论和线性矩阵不等式框架，根据线性矩阵不等式推导了可行控制器的存在条件。最后，将所提出的方法应用于两个数值示例，以证明我们的结果的有效性。

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《Applied mathematics and computation》 |2012年第3期|共15页
作者
Lee T.H.; Ji D.H.; Park J.H.; Jung H.Y.;
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正文语种 eng
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Complex network; Decentralized dynamic controller; Guaranteed cost problem; Randomly switching topology; Synchronization;

机译：复杂网络分散动态控制器保证成本问题随机切换拓扑同步;

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1. Decentralized guaranteed cost dynamic control for synchronization of a complex dynamical network with randomly switching topology [J] . Lee T.H., Ji D.H., Park J.H., Applied mathematics and computation . 2012,第3期

机译：具有随机切换拓扑的复杂动态网络同步的分散保证成本动态控制
2. Mean-square exponential synchronization of stochastic complex dynamical networks with switching topology by impulsive control [J] . Wu X., Xu C. Discrete dynamics in nature and society . 2013,第Pta1期

机译：脉冲控制的具有切换拓扑的随机复杂动力网络的均方指数同步
3. Mean-Square Exponential Synchronization of Stochastic Complex Dynamical Networks with Switching Topology by Impulsive Control [J] . XuefeiWu, ChenXu Discrete dynamics in nature and society . 2013,第3期

机译：脉冲控制的具有切换拓扑的随机复杂动力网络的均方指数同步
4. Decentralized guaranteed cost dynamic control for synchronization of a complex dynamical network [C] . Lee Tae H., Park Ju H., Jung H. Y., 2012 12th International Conference on Control, Automation and Systems. . 2012

机译：用于复杂动态网络同步的分散保证成本动态控制
5. The topology and dynamics of complex networks. [D] . Dezso, Zoltan. 2005

机译：复杂网络的拓扑和动态。
6. H∞ Cluster Synchronization for a Class of Neutral Complex Dynamical Networks with Markovian Switching [O] . Xinghua Liu -1

机译：H一类带马尔可夫切换的中立型复杂动力网络的∞簇同步
7. Guaranteed-cost consensus for multiagent networks with Lipschitz nonlinear dynamics and switching topologies [O] . Jianxiang Xi, Zhiliang Fan, Hao Liu, 2018

机译：具有Lipschitz非线性动力学和切换拓扑的多牙网络的保证 - 成本共识

Decentralized guaranteed cost dynamic control for synchronization of a complex dynamical network with randomly switching topology

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