Noncommuting multidimensional realization theory: minimality, reachability, and observability

Beck C.; DAndrea R.

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Noncommuting multidimensional realization theory: minimality, reachability, and observability

机译：非通勤多维实现理论：最小性，可到达性和可观察性

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摘要

A generalization of the notions of minimality, reachability, and observability for parameter dependent and multidimensional systems modeled by linear fractional transformations over noncommuting operators is presented. The multidimensional system results developed herein are formally similar to and directly specialize to the standard results when one-dimensional systems are considered.

机译：本文介绍了非交换算子上通过线性分数变换建模的参数相关和多维系统的极小，可及性和可观性概念的概括。当考虑一维系统时，本文开发的多维系统结果在形式上类似于标准结果，并且直接专门针对标准结果。

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《IEEE Transactions on Automatic Control》 |2004年第10期|p.1815-1822|共8页
作者
Beck C.; DAndrea R.;
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正文语种 eng
中图分类自动化系统;
关键词
minimisation; multidimensional systems; observability; reachability analysis; realisation theory; linear fractional transformations; minimality; multidimensional systems; noncommuting multidimensional realization theory; observability; reachability; Multidimensiona;

机译：最小化;多维系统;可观测性;可达性分析;实现理论;线性分数变换;最小值;多维系统;非换向多维实现理论;可观测性;可达性;多维a;

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Noncommuting multidimensional realization theory: minimality, reachability, and observability

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