Improved neural solution for the Lyapunov matrix equation based on gradient search
文献类型:期刊论文
作者 | Yuhuan Chen; Chenfu Yi; Dengyu Qiao |
刊名 | INFORMATION PROCESSING LETTERS
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出版日期 | 2013 |
英文摘要 | By using the hierarchical identification principle, based on the conventional gradient search, two neural subsystems are developed and investigated for the online solution of the well-known Lyapunov matrix equation. Theoretical analysis shows that, by using any monotonically-increasing odd activation function, the gradient-based neural networks (GNN) can solve the Lyapunov equation exactly and efficiently. Computer simulation results confirm that the solution of the presented GNN models could globally converge to the solution of the Lyapunov matrix equation. Moreover, when using the power-sigmoid activation functions, the GNN models have superior convergence when compared to linear models. |
收录类别 | SCI |
原文出处 | http://www.sciencedirect.com/science/article/pii/S002001901300238X |
语种 | 英语 |
源URL | [http://ir.siat.ac.cn:8080/handle/172644/4839] ![]() |
专题 | 深圳先进技术研究院_医工所 |
作者单位 | INFORMATION PROCESSING LETTERS |
推荐引用方式 GB/T 7714 | Yuhuan Chen,Chenfu Yi,Dengyu Qiao. Improved neural solution for the Lyapunov matrix equation based on gradient search[J]. INFORMATION PROCESSING LETTERS,2013. |
APA | Yuhuan Chen,Chenfu Yi,&Dengyu Qiao.(2013).Improved neural solution for the Lyapunov matrix equation based on gradient search.INFORMATION PROCESSING LETTERS. |
MLA | Yuhuan Chen,et al."Improved neural solution for the Lyapunov matrix equation based on gradient search".INFORMATION PROCESSING LETTERS (2013). |
入库方式: OAI收割
来源:深圳先进技术研究院
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