Controllability result of nonlinear higher order fractional damped dynamical system
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Authors
Junpeng Liu
- School of Mathematics, Jilin University, 130012, Changchun, P. R. China.
Suli Liu
- School of Mathematics, Jilin University, 130012, Changchun, P. R. China.
Huilai Li
- School of Mathematics, Jilin University, 130012, Changchun, P. R. China.
Abstract
In this paper, we investigate the controllability of nonlinear fractional damped dynamical system, which involved fractional
Caputo derivatives of any different orders. In the process of proof, we mainly use the Schaefer’s fixed-point theorem and
Mittag-Leffler matrix function. At last, we give an example to illustrate our main result.
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ISRP Style
Junpeng Liu, Suli Liu, Huilai Li, Controllability result of nonlinear higher order fractional damped dynamical system, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 1, 325--337
AMA Style
Liu Junpeng, Liu Suli, Li Huilai, Controllability result of nonlinear higher order fractional damped dynamical system. J. Nonlinear Sci. Appl. (2017); 10(1):325--337
Chicago/Turabian Style
Liu, Junpeng, Liu, Suli, Li, Huilai. "Controllability result of nonlinear higher order fractional damped dynamical system." Journal of Nonlinear Sciences and Applications, 10, no. 1 (2017): 325--337
Keywords
- Controllability
- Mittag-Leffler matrix
- Schaefer’s fixed-point theorem
- Gramian matrix.
MSC
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