A Mobius transformation for algebraic dynamical systems

被引：1

作者：

Tudor, Sebastian F. ^{[1
]}

Oara, Cristian ^{[1
]}

机构：

[1] Univ Politehn Bucuresti, Fac Automat Control & Comp Sci, Dept Automat Control & Syst Engn, Bucharest, Romania

来源：

2015 20TH INTERNATIONAL CONFERENCE ON CONTROL SYSTEMS AND COMPUTER SCIENCE | 2015年

关键词：

FACTORIZATIONS; EQUATIONS;

D O I：

10.1109/CSCS.2015.141

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A particular Mobius transformation mapping a completely general discrete-time algebraic dynamical system into a standard (proper) continuous-time one is introduced and studied. The freedom in choosing ab ante the exclusion point (in which the transformation is not defined) different from any point of interest makes this transformation a powerful universal tool for solving virtually any optimal/robust control problem for this class of systems by an elegant, yet simple reduction to known results. We show the effectiveness of our approach on two keystone problems: the normalized coprime factorization and the parametrization of all stabilizing controllers.

引用

页码：931 / 937

页数：7

共 26 条

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