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An extended GCRD algorithm for parametric univariate polynomial matrices and application to parametric Smith form 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2023, 卷号: 115, 页码: 248-265
作者:  Wang, Dingkang;  Wang, Hesong;  Wei, Jingjing;  Xiao, Fanghui
收藏  |  浏览/下载:105/0  |  提交时间:2023/02/07
Extended greatest common right divisor  Parametric univariate polynomial matrix  Comprehensive Gr?bner system  Smith normal form  
Determinantal conditions for homomorphic sensing 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2023, 卷号: 656, 页码: 210-223
作者:  Tsakiris, Manolis C.
收藏  |  浏览/下载:63/0  |  提交时间:2023/02/07
Homomorphic sensing  Unlabeled sensing  Linear regression without  correspondences  Jordan form  Determinantal varieties  Rational normal scrolls  
Global EPD regulation of uncertain nonlinear systems without global normal forms 期刊论文
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 页码: 18
作者:  Zhao, Cheng;  Guo, Lei
收藏  |  浏览/下载:104/0  |  提交时间:2022/04/02
extended PD control  non-affine nonlinear system  nonlinear normal form  regulation  uncertainty  
Control of Nonlinear Uncertain Systems by Extended PID 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 卷号: 66, 期号: 8, 页码: 3840-3847
作者:  Zhao, Cheng;  Guo, Lei
收藏  |  浏览/下载:140/0  |  提交时间:2021/10/26
Nonlinear systems  Uncertain systems  PD control  PI control  Uncertainty  Design methodology  Regulation  Affine nonlinear systems  diffeomorphism  normal form  proportional-integral-derivative (PID) control  regulation  system uncertainty  
Identifying weak focus and center in a convection model 期刊论文
APPLIED MATHEMATICS LETTERS, 2020, 卷号: 100, 页码: 7
作者:  Guo, Laigang;  Yu, Pei;  Chen, Yufu
收藏  |  浏览/下载:136/0  |  提交时间:2020/05/24
Convection model  3-dimensional quadratic system  Normal form  Limit cycle  
Bifurcation analysis on a class of three-dimensional quadratic systems with twelve limit cycles 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2019, 卷号: 363, 页码: 12
作者:  Guo, Laigang;  Yu, Pei;  Chen, Yufu
收藏  |  浏览/下载:184/0  |  提交时间:2020/01/10
3-dimensional quadratic system  Symmetrical vector field  Normal form  Limit cycle  Isochronous center  
A polynomial-time algorithm to compute generalized Hermite normal forms of matrices over Z[x] 期刊论文
THEORETICAL COMPUTER SCIENCE, 2019, 卷号: 755, 页码: 89-109
作者:  Jing, Rui-Juan;  Yuan, Chun-Ming;  Gao, Xiao-Shan
收藏  |  浏览/下载:164/0  |  提交时间:2019/03/05
Generalized Hermite normal form  Grobner basis  Polynomial-time algorithm  Z[x] module  
On random nonsingular Hermite Normal Form 期刊论文
JOURNAL OF NUMBER THEORY, 2016, 卷号: 164, 页码: 66-86
作者:  Hu, Gengran;  Pan, Yanbin;  Liu, Renzhang;  Chen, Yuyun
收藏  |  浏览/下载:124/0  |  提交时间:2018/07/30
Hermite Normal Form  Statistical properties  Random full-rank integer lattice  
An algorithm to compute Liouvillian solutions of prime order linear difference-differential equations 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2010, 卷号: 45, 期号: 3, 页码: 306-323
作者:  Feng, Ruyong;  Singer, Michael F.;  Wu, Min
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
Linear difference-differential equations  Normal form  Algorithm  Liouvillian solutions  
Realization of Boolean control networks 期刊论文
AUTOMATICA, 2010, 卷号: 46, 期号: 1, 页码: 62-69
作者:  Cheng, Daizhan;  Li, Zhiqiang;  Qi, Hongsheng
收藏  |  浏览/下载:135/0  |  提交时间:2018/07/30
Boolean control network  Coordinate transformation  Normal form  Kalman decomposition  Realization