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On the Existence of Minimal Realizations of Linear Dynamical Systems over Noetherian Integral Domains.

机译：Noetherian积分域上线性动力系统最小实现的存在性。

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This paper studies the problem of obtaining minimal realizations of linear systems over commutative rings. Connections are given with some deep questions in commutative algebra. (Author)

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作者
Rouchaleau, Y.; Sontag, E. D.;
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年度 1976
页码 1-20
总页数 20
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Linear algebra; Rings(Mathematics); Automata; Input output processing; Delay; Differential equations; Kalman filtering; Matrices(Mathematics); Multivariate analysis; Commutators;

机译：线性代数;环（数学）;自动机;输入输出处理;延迟;微分方程;卡尔曼滤波;矩阵（数学）;多变量分析;交换子;

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专利

1. On Minimal Realizations and Minimal Partial Realizations of Linear Time-Invariant Systems Subject to Point Incommensurate Delays [J] . M.De la Sen Mathematical Problems in Engineering: Theory, Methods and Applications . 2008,第2期

机译：关于点不相称时滞的线性时不变系统的最小实现和最小局部实现
2. Existence of Minimal and Maximal Solutions for a Second Order Quasilinear Dynamic Equation with Integral Boundary Conditions [J] . Mohammed Derhab, Mohamed Nehari Panamerican mathematical journal . 2015,第3期

机译：具有积分边界条件的二阶拟线性动力方程的最小和最大解的存在性
3. A differential realization of an input-output autonomous nonlinear system of minimal dynamic order in a Hilbert space [J] . Rusanov V.A., Lakeev A.V., Linke Y.E. Doklady. Mathematics . 2013,第1期

机译：希尔伯特空间中最小动态阶输入输出自主非线性系统的差分实现
4. On the existence of minimal and canonical realizations of linear periodic discrete time systems [C] . El Mrabet, Y., Bourles, . 1996

机译：关于线性周期离散时间系统的最小和正则实现的存在
5. Path Integral Techniques and Gr?bner Basis Approaches for Stochastic Response Analysis and Optimization of Diverse Nonlinear Dynamic Systems [D] . Petromichelakis, Ioannis. 2020

机译：路径积分技术和GR？增值随机响应分析和多样性非线性动态系统的优化方法
6. Algebraic Structure of Linear Dynamical Systems. III. Realization Theory Over a Commutative Ring [O] . Yves Rouchaleau, Bostwick F. Wyman, R. E. Kalman 1972

机译：线性动力系统的代数结构。三交换环上的实现理论
7. On the existence of minimal realizations of linear dynamical systems over Noetherian integral domains [O] . Rouchaleau Yves, Sontag Eduardo D. 1979

机译：关于Noether积分域上线性动力系统的最小实现的存在

On the Existence of Minimal Realizations of Linear Dynamical Systems over Noetherian Integral Domains.

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