A quadratic bilinear equation arising from the quadratic dynamical system

被引：0
|
作者：
Yu, Bo [1 ]
Dong, Ning [1 ]
Tang, Qiong [1 ]
机构：
[1] Hunan Univ Technol, Sch Sci, Zhuzhou 412008, Peoples R China
来源：
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES | 2021年 / 70卷 / 03期
关键词：
quadratic bilinear system; Kronecker product; Hadamard product; existence of the solution; fixed-point iteration; MODEL ORDER REDUCTION;
D O I：
10.3176/proc.2021.3.04
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A quadratic dynamical system with practical applications is taken into consideration. This system is transformed into a new bilinear system with Hadamard products by means of the implicit matrix structure. The corresponding quadratic bilinear equation is subsequently established via the Volterra series. Under proper conditions, the existence of the solution to the equation is proved by using a fixed-point iteration. Numerical experiments verify the proposed theory of the solution.
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页码：248 / 259
页数：12
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