LMI Conditions for Global Stability of Fractional-Order Neural Networks
文献类型：期刊论文
| 作者 | Zhang, Shuo 1; Yu, Yongguang 1; Yu, Junzhi 2; Yu, Junzhi
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| 刊名 | IEEE Transactions on Neural Networks and Learning Systems
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| 出版日期 | 2017 |
| 关键词 | Fractional order generalized projective synchronization (GPS) linear matrix inequality (LMI) neural networks, stability. |
| 通讯作者 | Yu, Yongguang |
| 英文摘要 | Fractional-order neural networks play a vital role in modeling the information processing of neuronal interactions. It is still an open and necessary topic for fractional-order neural networks to investigate their global stability. This paper proposes some simplified linear matrix inequality (LMI) stability conditions for fractional-order linear and nonlinear systems. Then, the global stability analysis of fractional-order neural networks employs the results from the obtained LMI conditions. In the LMI form, the obtained results include the existence and uniqueness of equilibrium point and its global stability, which simplify and extend some previous work on the stability analysis of the fractional-order neural networks. Moreover, a generalized projective synchronization method between such neural systems is given, along with its corresponding LMI condition. Finally, two numerical examples are provided to illustrate the effectiveness of the established LMI conditions. |
| 源URL | [http://ir.ia.ac.cn/handle/173211/13080]  |
| 专题 | 自动化研究所_复杂系统管理与控制国家重点实验室_先进机器人控制团队 |
| 作者单位 | 1. Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing 100044, China 2. State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing 100190, China |
| 推荐引用方式 GB/T 7714 | Zhang, Shuo ,Yu, Yongguang ,Yu, Junzhi ,et al. LMI Conditions for Global Stability of Fractional-Order Neural Networks[J]. IEEE Transactions on Neural Networks and Learning Systems,2017. |
| APA | Zhang, Shuo ,Yu, Yongguang ,Yu, Junzhi ,&Yu, Junzhi.(2017).LMI Conditions for Global Stability of Fractional-Order Neural Networks.IEEE Transactions on Neural Networks and Learning Systems. |
| MLA | Zhang, Shuo ,et al."LMI Conditions for Global Stability of Fractional-Order Neural Networks".IEEE Transactions on Neural Networks and Learning Systems (2017). |
入库方式： OAI收割
来源：自动化研究所
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