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

共 50 条

[21] Necessary and sufficient numerical conditions for asymptotic stability of linear time-varying systems
Garcia, Germain
Peres, Pedro L. D.
Tarbouriech, Sophie
47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 5146 - 5151
[22] Equivalent conditions of partial stability for linear time-varying discrete systems
Jian, Jigui
Shen, Yanjun
Liao, Xiaoxin
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13 : 578 - 580
[23] A necessary and sufficient condition for total observability of discrete-time linear time-varying systems
Witczak, Marcin
Puig, Vicenc
Rotondo, Damiano
Witczak, Piotr
IFAC PAPERSONLINE, 2017, 50 (01): : 729 - 734
[24] Sufficient conditions for robust stability of discrete-time systems subject to time-varying parameters
Amato, F
Mattei, M
Pironti, A
SYSTEM STRUCTURE AND CONTROL 1998 (SSC'98), VOLS 1 AND 2, 1998, : 405 - 410
[25] On stabilization for discrete linear time-varying systems
Lu, Yufeng
Gong, Ting
SYSTEMS & CONTROL LETTERS, 2011, 60 (12) : 1024 - 1031
[26] CLASS OF LINEAR TIME-VARYING DISCRETE SYSTEMS
RAMARAJA.S
RAO, SN
ELECTRONICS LETTERS, 1970, 6 (22) : 702 - &
[27] HYPERSTABILITY OF LINEAR TIME-VARYING DISCRETE SYSTEMS
IONESCU, T
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1970, AC15 (06) : 645 - &
[28] SOME SUFFICIENT CONDITIONS FOR STABILITY OF A LINEAR TIME-VARYING SYSTEM
DAVISON, EJ
INTERNATIONAL JOURNAL OF CONTROL, 1968, 7 (04) : 377 - &
[29] Algebraic conditions for controllability and reachability of time-varying discrete-time linear systems
Molnár, S
Szigeti, F
CONTROL APPLICATIONS OF OPTIMISATION 2003, 2003, : 81 - 85
[30] Necessary and sufficient conditions for quadratic stability and stabilizability of uncertain linear time-varying systems
Amato, F
Pironti, A
Scala, S
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (01) : 125 - 128

← 1 2 3 4 5 →