Handling a Commensurate, Incommensurate, and Singular Fractional-Order Linear Time-Invariant System

被引：1

作者：

Batiha, Iqbal M. ^{[1
,2
]}

Talafha, Omar ^{[3
]}

Ababneh, Osama Y. ^{[4
]}

Alshorm, Shameseddin ^{[1
]}

Momani, Shaher ^{[2
,5
]}

机构：

[1] Al Zaytoonah Univ Jordan, Dept Math, Amman 11733, Jordan

[2] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, POB 346, Ajman, U Arab Emirates

[3] Irbid Natl Univ, Fac Sci & Technol, Dept Math, Irbid 21110, Jordan

[4] Zarqa Univ, Fac Sci, Dept Math, Zarqa 13110, Jordan

[5] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan

来源：

AXIOMS | 2023年 / 12卷 / 08期

关键词：

linear time-invariant system; Adomian decomposition method (ADM); Caputo fractional-order derivative; ADOMIAN DECOMPOSITION METHOD; BOUNDARY-VALUE-PROBLEMS;

D O I：

10.3390/axioms12080771

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

From the perspective of the importance of the fractional-order linear time-invariant (FoLTI) system in plenty of applied science fields, such as control theory, signal processing, and communications, this work aims to provide certain generic solutions for commensurate and incommensurate cases of these systems in light of the Adomian decomposition method. Accordingly, we also generate another general solution of the singular FoLTI system with the use of the same methodology. Several more numerical examples are given to illustrate the core points of the perturbations of the considered singular FoLTI systems that can ultimately generate a variety of corresponding solutions.

引用

页数：19

共 50 条

[41] Robust Adaptive Stabilization of Linear Time-Invariant Dynamic Systems by Using Fractional-Order Holds and Multirate Sampling Controls
Alonso-Quesada, S.
De la Sen, M.
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010
[42] Nonlinear vibration of a commensurate fractional-order happiness system
Guo, Zhongjin
Zhang, Wei
CIVIL, ARCHITECTURE AND ENVIRONMENTAL ENGINEERING, VOLS 1 AND 2, 2017, : 1379 - 1383
[43] ON THE SENSITIVITY ANALYSIS OF LINEAR TIME-INVARIANT SINGULAR SYSTEMS
MERTZIOS, BG
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1984, 31 (11): : 978 - 982
[44] ON THE ANALYSIS OF DISCRETE LINEAR TIME-INVARIANT SINGULAR SYSTEMS
LEWIS, FL
MERTZIOS, BG
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (04) : 506 - 511
[45] Chaos and hybrid projective synchronization of commensurate and incommensurate fractional-order Chen–Lee systems
Ching-Ming Chang
Hsien-Keng Chen
Nonlinear Dynamics, 2010, 62 : 851 - 858
[46] H-infinity Output Feedback Control of Linear Time-invariant Fractional-order Systems over Finite Frequency Range
Wang, Cuihong
Li, Huanhuan
Chen, YangQuan
IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2016, 3 (03) : 304 - 310
[47] A COMPUTING APPROACH FOR DELAY MARGIN OF LINEAR FRACTIONAL-ORDER RETARDED SYSTEMS WITH COMMENSURATE TIME DELAYS
Gao, Zhe
Liao, Xiaozhong
ASIAN JOURNAL OF CONTROL, 2014, 16 (06) : 1891 - 1896
[48] Kalman filtering for discrete-time linear fractional-order singular systems
Nosrati, Komeil
Shafiee, Masoud
IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (09): : 1254 - 1266
[49] Adaptive Consensus Tracking for Fractional-Order Linear Time Invariant Swarm Systems
Soorki, Mojtaba Naderi
Tavazoei, Mohammad Saleh
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2014, 9 (03):
[50] Numerical solving for dynamic response of fractional order damped structure based on linear time-invariant system equivalence
Guo Q.
Chen T.
Zhendong yu Chongji/Journal of Vibration and Shock, 2023, 42 (15): : 138 - 209

← 1 2 3 4 5 →