华侨大学学报（自然科学版）2017，Vol.38Issue(6)：886-891,6.DOI:10.11830/ISSN.1000-5013.201703080
利用奇异值分解的二阶递归系统数值稳定性方法
Numerical Stability Method of Second Order Recursive System Using Singular Value Decomposition
摘要
Abstract
In order to solve the problem of stability of second order recursive systemsimply,the second order recursive system is transformed into second order discrete time-varying linear system and the stability of recursive system is discussed.Based on the stability analysis of second-order discrete linear time-varying systems,converting it into a reference signal (RS) system by singular value decomposition (SVD).Based on discrete orthogonal Krawtchouk polynomials and the Jacobsthal series,a new sufficient condition for discrete time-varying linear instability is proposed.The changes and new instability codes in the second and fourth quadrants are discussed and deduced.The simulation results verify the conclusion accuracy.关键词
Krawtchouk多项式/Jacobsthal数列/奇异值分解/递归系统/线性离散时变系统Key words
Krawtchouk polynomials/Jacobsthal sequences/singular value decomposition/recursive systems/linear discrete time-varying systems分类
信息技术与安全科学引用本文复制引用
付波,刘济源,赵熙临,徐光辉,王子鹏..利用奇异值分解的二阶递归系统数值稳定性方法[J].华侨大学学报（自然科学版）,2017,38(6):886-891,6.基金项目
国家自然科学基金资助项目(61072130,51309094,61603127) （61072130,51309094,61603127）
国家教育部留学回国人员科研启动基金资助项目(20141685) （20141685）
湖北省科技厅重大科技专项项目(2013AE001) （2013AE001）
