Stability of fractional order switching systems

被引：41
作者：
Hassan HosseinNia, S. [1 ]
Tejado, Ines [1 ]
Vinagre, Bias M. [1 ]
机构：
[1] Univ Extremadura, Sch Ind Engn, Dept Elect Elect & Automat Engn, Badajoz 06006, Spain
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2013年 / 66卷 / 05期
关键词：
Switching system; Fractional order switching system; Quadratic stability; Common Lyapunov theory; Frequency domain; LYAPUNOV FUNCTION; ROBUST STABILITY; STABILIZATION; DELAY; CRITERIA;
D O I：
10.1016/j.camwa.2013.05.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the stability problem for fractional order switching systems. The conditions for the stability of such systems are presented in terms of common Lyapunov theory, generalized to fractional order systems, and in frequency domain, an approach equivalent to the previous one. The effectiveness of the developed theory is shown through some illustrative examples. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：585 / 596
页数：12
相关论文
共 54 条
[1]  
[Anonymous], 1999, FRACTIONAL DIFFERENT
[2]  
[Anonymous], P 4 IFAC WORKSH FRAC
[3]  
[Anonymous], 1987, LECT NOTES COMPUTER
[4]   Fractional order differential equations on an unbounded domain [J].
Arara, A. ;
Benchohra, M. ;
Hamidi, N. ;
Nieto, J. J. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (02) :580-586
[5]   Modeling and stabilization of a wireless network control system with packet loss and time delay [J].
Bai, Jianjun ;
Su, Hongye ;
Gao, Jinfeng ;
Sun, Tao ;
Wu, Zhengguang .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (07) :2420-2430
[6]   Sufficient condition for stabilization of linear time invariant fractional order switched systems and variable structure control stabilizers [J].
Balochian, Saeed ;
Sedigh, Ali Khaki .
ISA TRANSACTIONS, 2012, 51 (01) :65-73
[7]  
Caponetto R., 2010, SERIES NONLINEAR S A
[8]   LINEAR MODELS OF DISSIPATION WHOSE Q IS ALMOST FREQUENCY INDEPENDENT-2 [J].
CAPUTO, M .
GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1967, 13 (05) :529-&
[9]   Analytical stability bound for a class of delayed fractional-order dynamic systems [J].
Chen, YQ ;
Moore, KL .
NONLINEAR DYNAMICS, 2002, 29 (1-4) :191-200
[10]   Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach [J].
Daafouz, J ;
Riedinger, P ;
Iung, C .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1883-1887
123456