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CLC number: O231
On-line Access: 2020-06-12
Received: 2019-12-28
Revision Accepted: 2020-04-09
Crosschecked: 2020-04-30
Cited: 0
Clicked: 4211
Citations: Bibtex RefMan EndNote GB/T7714
https://orcid.org/0000-0002-8860-6263
Controllability of fractional-order damped systems with time-varying delays in control
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Bin-bin He, Hua-cheng Zhou, Chun-hai Kou. Controllability of fractional-order damped systems with time-varying delays in control[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(6): 844-855.
@article{title="Controllability of fractional-order damped systems with time-varying delays in control",
author="Bin-bin He, Hua-cheng Zhou, Chun-hai Kou",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="21",
number="6",
pages="844-855",
year="2020",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1900736"
}
%0 Journal Article
%T Controllability of fractional-order damped systems with time-varying delays in control
%A Bin-bin He
%A Hua-cheng Zhou
%A Chun-hai Kou
%J Frontiers of Information Technology & Electronic Engineering
%V 21
%N 6
%P 844-855
%@ 2095-9184
%D 2020
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1900736
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T1 - Controllability of fractional-order damped systems with time-varying delays in control
A1 - Bin-bin He
A1 - Hua-cheng Zhou
A1 - Chun-hai Kou
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 21
IS - 6
SP - 844
EP - 855
%@ 2095-9184
Y1 - 2020
PB - Zhejiang University Press & Springer
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DOI - 10.1631/FITEE.1900736
Abstract: In this study, we focus on the controllability of fractional-order damped systems in linear and nonlinear cases with multiple time-varying delays in control. For the linear system based on the Mittag-Leffler matrix function, we define a controllability gramian matrix, which is useful in judging whether the system is controllable or not. Furthermore, in two special cases, we present serval equivalent controllable conditions which are easy to verify. For the nonlinear system, under the controllability of its corresponding linear system, we obtain a sufficient condition on the nonlinear term to ensure that the system is controllable. Finally, two examples are given to illustrate the theory.
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