双线性系统的广义频域模型

Generalized Frequency Model of Bilinear Systems

利用向量空间与的一些基本性质，研究了一般多变量双线性方程的解在时域空间的存在唯一条件。并据同构对应关系，推广到广义频域空间ｌ￣２，给出了一般多变量双线性方程的广义频域表达式及其解，指出了双线性方程广义频域解的收敛性质。进而，研究了双线性系统广义频域近似模型的建模方法。

Based on the basic properties of vector spaces and the u-nique existence condition of the solution of general multi-variable bilinear equation in thetime domain was studied.By using the isomorphic corresponding relatlon,the u-nique existence condition in the time domain was extended to the generalized frequence do-main l￣2. And then the solution of bilinear equation in the generalized frequence domain andthe convergence property of the solution were given. The approximate modeling of bilinearsystems in the generalized frequence domain was studied.