提出灰色高阶增量 GMS ( m ,1)动态模型及参数反馈辨识方法 ;构建出灰色非线性 L M ( m ,1)、LE ( m,1)及 LLM ( m,1)模型 ,能有效模拟农药残留等振荡或涨落衰减离散动态时间序列的非线性变化规律 .应用本文模型对代森锰锌在西红柿中的消解残留量模拟 ,复相关系数 R2≈ 1,平均误差率δ<0 .14 ;对氯氰菊脂在小白菜上的残留量模拟 ,R2 >0 .9989,δ<9.19 .模拟优度、精度明显优于若干新方法 [3 ,4] .为非线性离散动态过程建模、控制、预测提供了新的有效规范方法 ,亦可为非线性动力学研究提供新的建模思路 ,在生态、生物等自然科学及社会科学中具有广泛适用性与应用前景.

A dynamic model of grey higher addition and identifying parameter of feedback have been studied by the authors. It is improved that the models, such as LM(m,1),LE(m,1) and LLM(m,1) , can be efficiently used to simulate chemical remaining and the remaining changing in agriculture in different growth stages. When the model used for Trimanoc remaining in tomato, the interrelation coefficiency is much higher (R+2≈1), the average error is very lower (<0.14%); while used for Fenvalerat remaining in Chines...