Synchronization and Pattern Formation of Nonlinear Systems with Delay Couplings

具有延迟耦合的非线性系统的同步和模式形成

• 批准号: 20560424
• 负责人: OGUCHI Toshiki
• 金额: $ 3万
• 依托单位: Tokyo Metropolitan University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2008
• 资助国家: 日本
• 起止时间: 2008 至 2010
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20560424/
• 关键词: 制御工学; むだ時間; 非線形力学; 同期制御; 調和平衡法; 安定性; 調和平均法

In this project, we considered the synchronization problems in networks of identical nonlinear systems with delayed couplings. In particular, we obtained the following results:(1) We proposed a new synchronization criterion based on a frequency domain stability condition and showed that the proposed criterion is less conservative than the conventional synchronization criteria based on the Lyapunov-Krasovskii approach. Furthermore, we showed the relationship between the network structure and the synchronization condition and developed estimation methods of synchronization and partial synchronization based on the synchronization condition for two coupled systems and the eigenvalues of the graph Laplacian.(2) We proposed an analysis and a design method for pattern formation in networks of identical nonlinear systems with delay couplings by applying the harmonic balance methods.

在这个项目中，我们考虑了具有延迟耦合的同形非线性系统网络中的同步问题。(1)提出了一种新的基于频域稳定条件的同步准则，并表明该准则比基于Lyapunov-Krasovskii方法的传统同步准则具有更小的保守性。在此基础上，给出了网络结构与同步条件的关系，并基于两个耦合系统的同步条件和图拉普拉斯特征值，提出了同步和部分同步的估计方法。(2)提出了一种用谐波平衡方法分析和设计具有延迟耦合的非线性系统网络模式形成的方法。

项目成果

Synchronization and topology in networks of Lur'e systems with delay coupling

延迟耦合 Lure 系统网络的同步和拓扑

• 发表时间: 2011
• 期刊: Proceedings of European Dynamics Conference 2011, CD-ROM(採録決定)
• 作者: T. Mimura;T.Oguchi
• 通讯作者: T.Oguchi

Synchronization and Topology in Networks of Lur'e Systems with Delay Couplings

具有延迟耦合的 Lure 系统网络的同步和拓扑

• 发表时间: 2011
• 作者: Toshihiro Mimura;Toshiki Oguchi
• 通讯作者: Toshiki Oguchi

A Synchronization Condition for Coupled Nonlinear Systems with Time-delay -A Circle Criterion Approach

时滞耦合非线性系统的同步条件-圆准则法

• DOI: 10.3182/20090622-3-uk-3004.00049
• 发表时间: 2009
• 期刊: Brain Research
• 影响因子: 2.9
• 作者: T. Oguchi;H. Nijmeijer;N. K. Tanaka
• 通讯作者: N. K. Tanaka

Pattern Formation in Networks of Nonlinear Systems with Delay Couplings

• DOI: 10.3182/20110828-6-it-1002.03773
• 发表时间: 2011
• 期刊: IFAC Proceedings Volumes
• 作者: Eiichi Uchida;T. Oguchi

遅延結合非線形システムネットワークの安定性と同期

延迟耦合非线性系统网络的稳定性和同步

• 发表时间: 2009
• 期刊: システム/制御/情報 Vol.53, No.8
• 作者: 五島;川南;高橋;小口俊樹
• 通讯作者: 小口俊樹