Relative controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control
Kybernetika, Tome 53 (2017) no. 1, pp. 161-178
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
This paper describes the controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control. Necessary and sufficient conditions for the controllability criteria for linear fractional delay system are established. Further sufficient conditions for the controllability of nonlinear fractional delay integrodifferential system are obtained by using fixed point arguments. Examples are provided to illustrate the results.
This paper describes the controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control. Necessary and sufficient conditions for the controllability criteria for linear fractional delay system are established. Further sufficient conditions for the controllability of nonlinear fractional delay integrodifferential system are obtained by using fixed point arguments. Examples are provided to illustrate the results.
DOI :
10.14736/kyb-2017-1-0161
Classification :
34A08, 93B05
Keywords: fractional delay integrodifferential equation; Laplace transform; controllability; Mittag–Leffler function; Caputo fractional derivative
Keywords: fractional delay integrodifferential equation; Laplace transform; controllability; Mittag–Leffler function; Caputo fractional derivative
@article{10_14736_kyb_2017_1_0161,
author = {Joice Nirmala, Rajagopal and Balachandran, Krishnan},
title = {Relative controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control},
journal = {Kybernetika},
pages = {161--178},
year = {2017},
volume = {53},
number = {1},
doi = {10.14736/kyb-2017-1-0161},
mrnumber = {3638562},
zbl = {06738600},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-1-0161/}
}
TY - JOUR AU - Joice Nirmala, Rajagopal AU - Balachandran, Krishnan TI - Relative controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control JO - Kybernetika PY - 2017 SP - 161 EP - 178 VL - 53 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-1-0161/ DO - 10.14736/kyb-2017-1-0161 LA - en ID - 10_14736_kyb_2017_1_0161 ER -
%0 Journal Article %A Joice Nirmala, Rajagopal %A Balachandran, Krishnan %T Relative controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control %J Kybernetika %D 2017 %P 161-178 %V 53 %N 1 %U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-1-0161/ %R 10.14736/kyb-2017-1-0161 %G en %F 10_14736_kyb_2017_1_0161
Joice Nirmala, Rajagopal; Balachandran, Krishnan. Relative controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control. Kybernetika, Tome 53 (2017) no. 1, pp. 161-178. doi: 10.14736/kyb-2017-1-0161
Cité par Sources :