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| 摘要: |
| 本文研究了含噪声的多延迟超网络的结构识别问题, 利用随机微分时滞方程的LaSalle不变原理和Lyapunov稳定性理论, 获得了通过牵制控制进行超网络结构辨识的理论. 通过数值仿真验证了理论结果的有效性. 以三层网络为例, 仅控制一个节点就可以成功识别出该网络的未知拓扑结构, 同时, 驱动网络和响应网络达到了同步. |
| 关键词: 牵制控制 多延迟超网络 噪声 拓扑识别 |
| DOI： |
| 分类号:O211.63 |
| 基金项目:湖北省自然科学基金青年基金项目(2020CFB488); 湖北省教育厅科学技术研究计划青年人才项目(Q20203103); 湖北省教育厅科学研究计划指导性项目(B2020182) |
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| IDENTIFYING TOPOLOGY OF DELAYED HYPERNETWORK WITH STOCHASTIC PERTURBATIONS VIA PINNING CONTROL |
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ZHAO Xue-yi,ZHU Shuai-bing,DENG Le-bin,XIE Hong
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| Abstract: |
| This manuscript proposes a pinning-control scheme to identify the topology of delayed hypernetworks with stochastic perturbations. In virtue of the LaSalle-type Invariance Principle for stochastic differential delay equations and the Lyapunov stability theory, the theory on topology identification of hypernetwork via pinning control is established. In addition, a numerical example is provided to demonstrate the theoretical results. Taking a three-layer network for example, the unknown topology of the network can be identified successfully by controlling only one node, and in the meanwhile, the drive network and the response network reach synchronization. |
| Key words: pinning control delayed hypernetwork stochastic perturbation topology identification |
