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一类模糊微分系统的稳定性

Stability for a Class of Fuzzy Differential Systems
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摘要 利用模糊结构元方法,定义了模糊数和模糊值函数的线性运算和乘法运算,研究了由模糊结构元线性生成的模糊微分系统的稳定性问题,得到了Lyapunov意义下稳定、渐进稳定和指数稳定的结果.同时,给出了具体的实例. In this paper, we defines the linear operation and multiplication for fuzzy num- ber and fuzzy-valued function, and investigates the stability of fuzzy differential systems which are linear formed by fuzzy structured element, we obtain the result of Lyapunov sta- bility, asymptotically stability, exponential stability. At last, the author put forward two examples.
作者 王磊
出处 《数学的实践与认识》 北大核心 2015年第11期200-204,共5页 Mathematics in Practice and Theory
关键词 模糊微分系统 稳定性 模糊结构元方法 fuzzy differential systems stability fuzzy structured element method
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参考文献12

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