Sufficient conditions for assignability of nonuniform dichotomy spectrum of discrete time-varying linear systems

被引：0

作者：

Babiarz, Artur ^{[1
]}

Czornik, Adam ^{[1
]}

Siegmund, Stefan ^{[2
]}

机构：

[1] Silesian Tech Univ, Dept Automat Control & Robot, Gliwice, Poland

[2] Tech Univ Dresden, Fac Math, D-01062 Dresden, Germany

来源：

ADVANCES IN CONTINUOUS AND DISCRETE MODELS | 2022年 / 2022卷 / 01期

关键词：

Discrete time-varying systems; Dichotomy; Spectrum of dichotomy; Assignability; Controllability; DIFFERENTIAL-EQUATIONS; LYAPUNOV SPECTRUM; STABILITY;

D O I：

10.1186/s13662-022-03687-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a version of the pole placement problem for tempered one-sided linear discrete-time time-varying linear systems. We prove a sufficient condition for assignability of the nonuniform dichotomy spectrum by linear feedback. The main result is that the nonuniform dichotomy spectrum is assignable if the system is completely controllable and certain lower asymptotic bound for the controllability Gramian holds.

引用

页数：44

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