POSITIVITY AND STABILITY OF FRACTIONAL DESCRIPTOR TIME-VARYING DISCRETE-TIME LINEAR SYSTEMS

被引：8

作者：

Kaczorek, Tadeusz ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Elect Engn, Ul Wiejska 45D, PL-15351 Bialystok, Poland

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2016年 / 26卷 / 01期

关键词：

fractional system; descriptor system; time-varying system; positive system; discrete-time system; SWITCHED SYSTEMS; EXPONENTS;

D O I：

10.1515/amcs-2016-0001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The Weierstrass-Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor time-varying discrete-time linear systems. A method for computing solutions of fractional systems is proposed. Necessary and sufficient conditions for the positivity of these systems are established.

引用

页码：5 / 13

页数：9

共 23 条

[1]

[Anonymous], 2012, SELECTED PROBLEMFR

[2]

[Anonymous], 2000, PUR AP M-WI

[3]

Czornik A., 2012, 2012 20th Mediterranean Conference on Control & Automation (MED 2012), P194, DOI 10.1109/MED.2012.6265637

[4] The relations between the senior upper general exponent and the upper Bohl exponents [J].

Czornik, Adam .

2014 19TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2014, :897-902

[5] About the number of the lower Bohl exponents of diagonal discrete linear time-varying systems [J].

Czornik, Adam ;

Klamka, Jerzy ;

Niezabitowski, Michal .

11TH IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA), 2014, :461-466

[6]

Czornik A, 2013, 2013 EUROPEAN CONTROL CONFERENCE (ECC), P2210

[7] On the Lyapunov exponents of a class of second-order discrete time linear systems with bounded perturbations [J].

Czornik, Adam ;

Nawrat, Aleksander ;

Niezabitowski, Michal .

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2013, 28 (04) :473-483

[8]

Czornik A, 2013, DYNAM SYST, V28, P140, DOI 10.1080/14689367.2012.742038

[9] On the spectrum of discrete time-varying linear systems [J].

Czornik, Adam ;

Niezabitowski, Michal .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2013, 9 :27-41

[10] Positive Descriptor Time-varying Discrete-time Linear Systems and Their Asymptotic Stability [J].

Kaczorek, T. .

TRANSNAV-INTERNATIONAL JOURNAL ON MARINE NAVIGATION AND SAFETY OF SEA TRANSPORTATION, 2015, 9 (01) :83-89

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