Open Physics, Volume (1), No (16), Year (2018-4) , Pages (404-411)

Title : ( Generalized convergence analysis of the fractional order systems )

Authors: Ahmad Ruzitalab , Mohammad Hadi Farahi , Gholamhossien Erjaee ,

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Abstract: The aim of the present work is to generalize the contraction theory for the analysis of the convergence of fractional order systems for both continuous-time and discrete-time systems. Contraction theory is a methodology for assessing the stability of trajectories of a dynamical system with respect to one another. The result of this study is a generalization of the Lyapunov matrix equation and linear eigenvalue analysis. The proposed approach gives a necessary and sufficient condition for exponential and global convergence of nonlinear fractional order systems. The examples elucidate that the theory is very straightforward and exact.


, Keywords: Contraction theory, Stability, Convergence, Fractional order systems
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author = {Ruzitalab, Ahmad and Farahi, Mohammad Hadi and Gholamhossien Erjaee},
title = {Generalized convergence analysis of the fractional order systems},
journal = {Open Physics},
year = {2018},
volume = {1},
number = {16},
month = {April},
issn = {2391-5471},
pages = {404--411},
numpages = {7},
keywords = {Keywords: Contraction theory; Stability; Convergence; Fractional order systems},


%0 Journal Article
%T Generalized convergence analysis of the fractional order systems
%A Ruzitalab, Ahmad
%A Farahi, Mohammad Hadi
%A Gholamhossien Erjaee
%J Open Physics
%@ 2391-5471
%D 2018