The exact model-matching problem for linear time-varying systems: an algebraic approach

Marinescu B.; Bourles H.

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The exact model-matching problem for linear time-varying systems: an algebraic approach

机译：线性时变系统的精确模型匹配问题：一种代数方法

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The exact model-matching problem is formulated and solved for linear time-varying systems. The condition for the existence of a proper solution, which is well known in the time-invariant case, is proven here to still be valid in the time-varying case. The properness is characterized using the Smith-MacMillan form at infinity, recently defined by the authors for the transfer matrices with time-varying coefficients.

机译：针对线性时变系统，提出并解决了精确的模型匹配问题。在时变情况下众所周知的适当解的存在条件在此证明在时变情况下仍然有效。作者使用最近定义的Smith-MacMillan形式对特性进行了表征，作者最近为具有时变系数的传递矩阵定义了Smith-MacMillan形式。

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《IEEE Transactions on Automatic Control》 |2003年第1期|p.166-169|共4页
作者
Marinescu B.; Bourles H.;
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正文语种 eng
中图分类自动化系统;
关键词
adaptive control; matrix algebra; time-varying systems; Smith-MacMillan form; algebraic approach; exact model-matching problem; linear time-varying systems; time-varying coefficients; transfer matrices;

机译：自适应控制矩阵代数时变系统史密斯-麦克米伦形式代数方法精确模型匹配问题线性时变系统时变系数传递矩阵;

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1. The exact model-matching problem for linear time-varying systems: an algebraic approach [J] . Marinescu B., Bourles H. IEEE Transactions on Automatic Control . 2003,第1期

机译：线性时变系统的精确模型匹配问题：一种代数方法
2. Model-matching and decoupling for continuous- and discrete-time linear time-varying systems [J] . Bogdan Marinescu International Journal of Control . 2009,第6期

机译：连续和离散时间线性时变系统的模型匹配和解耦
3. Model-matching and decoupling for continuous- and discrete-time linear time-varying systems [J] . International Journal of Control . 2009,第6期

机译：连续和离散时间线性时变系统的模型匹配和解耦
4. Model-Matching Topics for Linear Time-Varying Systems: Computation Rules in an Algebraic Approach [C] . Marinescu, Bogdan . 2007

机译：线性时变系统的模型匹配主题：代数方法中的计算规则
5. Exact Results Regarding the Physics of Complex Systems via Linear Algebra, Hidden Markov Models, and Information Theory. [D] . Riechers, Paul Michael. 2016

机译：关于通过线性代数，隐马尔可夫模型和信息论进行的复杂系统物理的精确结果。
6. On the Approximated Reachability of a Class of Time-Varying Nonlinear Dynamic Systems Based on Their Linearized Behavior about the Equilibria: Applications to Epidemic Models [O] . Manuel De la Sen 2019

机译：基于对均衡的线性化行为的一类时变非线动力系统的近似可达性：应用于流行模型的应用
7. Fast state estimation in linear time-varying systems: an algebraic approach [O] . Tian Yang, Floquet Thierry, Perruquetti Wilfrid 2008

机译：线性时变系统中的快速状态估计：一种代数方法
8. Algebraic Theory of Linear Time-Varying Systems and Linear Infinite-Dimensional Systems. [R] . Kamen, E. W. 1982

机译：线性时变系统与线性无限维系统的代数理论。

The exact model-matching problem for linear time-varying systems: an algebraic approach

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