| 一类动态互联复杂系统的稳定性分析 |
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| 引用本文： | 欧阳鑫玉,陈雪波.一类动态互联复杂系统的稳定性分析[J].控制与决策,2009,24(11). |
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| 作者姓名： | 欧阳鑫玉 陈雪波 |
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| 作者单位： | 1. 大连理工大学,电子与信息工程学院,辽宁,大连,116024;辽宁科技大学,电子与信息工程学院,辽宁,鞍山,114051
2. 辽宁科技大学,电子与信息工程学院,辽宁,鞍山,114051 |
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| 基金项目： | 国家自然科学基金项目(60574010,60874017);;辽宁省高校优秀人才支持计划项目(2006R31) |
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| 摘 要： | 通过引入动态图及动态邻接矩阵相关理论，对具有动态互联信息结构约束的复杂系统进行描述和建模，并引入ＬｏｔｋａＶｏｌｔｅｒｒａ方程作为该系统的动态互联信息结构模型．根据李雅普诺夫方法，对系统的动态互联模型进行了详细分析，研究了非负定限内联结平衡的设定及其渐近稳定条件，进而研究了整个系统的稳定条件．最后得到了该类动态互联复杂系统联结稳定及整个系统稳定的相关结论．
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| 关 键 词： | 复杂系统 动态互联 稳定性 系统建模 动态图 |
| 收稿时间： | 2008-11-21 |
| 修稿时间： | 2009-4-24 |
Stability analysis for a class of complex system with dynamic interconnection |
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| OUYANG Xin-yu,CHEN Xue-bo.Stability analysis for a class of complex system with dynamic interconnection[J].Control and Decision,2009,24(11). |
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| Authors: | OUYANG Xin-yu CHEN Xue-bo |
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| Affiliation: | 1.School of Electronics and Information Engineering;Dalian University of Technology;Dalian 116024;China;2.School of Electronics and Information Engineering;Liaoning University of Science and Technology;Anshan 114051;China. |
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| Abstract: | By using the correlative theories of dynamic graphs and dynamic adjacency matrix,a modeling method of a complex system with dynamic interconnected information structure is considered.The Lotka-Volterra equation is introduced as the dyanmic interconnected model of this system.In the framework of Lyapunov method,the connective equilibrium in the nonnegative orthant and its asymptotically stable conditions are researched.Then the stable conditions of overall system are studied.Finally,the correlative conclusio... |
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| Keywords: | Complex systems Dynamic interconnection Stability Systems modeling Dynamic graphs |
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