Asymptotical Mean Square Stability of Cohen-Grossberg Neural Networks with Random Delay
文献类型：期刊论文
| 作者 | Zhu, Enwen1,2,3; Zhang, Hanjun2; Zou, Jiezhong |
| 刊名 | JOURNAL OF INEQUALITIES AND APPLICATIONS
 |
| 出版日期 | 2010 |
| 页码 | 13 |
| ISSN号 | 1029-242X |
| DOI | 10.1155/2010/247587 |
| 英文摘要 | The asymptotical mean-square stability analysis problem is considered for a class of Cohen-Grossberg neural networks (CGNNs) with random delay. The evolution of the delay is modeled by a continuous-time homogeneous Markov process with a finite number of states. The main purpose of this paper is to establish easily verifiable conditions under which the random delayed Cohen-Grossberg neural network is asymptotical mean-square stability. By employing Lyapunov-Krasovskii functionals and conducting stochastic analysis, a linear matrix inequality (LMI) approach is developed to derive the criteria for the asymptotical mean-square stability, which can be readily checked by using some standard numerical packages such as the Matlab LMI Toolbox. A numerical example is exploited to show the usefulness of the derived LMI-based stability conditions. |
| 资助项目 | Excellent Youth Foundation of Educational Committee of Hunan Provincial[08B005] ; Hunan Postdoctoral Scientific Program[2009RS3020] ; Natural Science Foundation of Hunan Province[09JJ6006] ; Hunan Provincial Education Department of China[09C059] ; Hunan Provincial Science and Technology Department of China[2009FJ3103] ; Hunan Provincial Science and Technology Department of China[2009ZK4021] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000277840400001 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10177]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhu, Enwen |
| 作者单位 | 1.Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China 2.Changsha Univ Sci & Technol, Sch Math & Computat Sci, Changsha 410076, Hunan, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhu, Enwen,Zhang, Hanjun,Zou, Jiezhong. Asymptotical Mean Square Stability of Cohen-Grossberg Neural Networks with Random Delay[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS,2010:13. |
| APA | Zhu, Enwen,Zhang, Hanjun,&Zou, Jiezhong.(2010).Asymptotical Mean Square Stability of Cohen-Grossberg Neural Networks with Random Delay.JOURNAL OF INEQUALITIES AND APPLICATIONS,13. |
| MLA | Zhu, Enwen,et al."Asymptotical Mean Square Stability of Cohen-Grossberg Neural Networks with Random Delay".JOURNAL OF INEQUALITIES AND APPLICATIONS (2010):13. |
入库方式： OAI收割
来源：数学与系统科学研究院
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