Controllability of nonlinear stochastic fractional systems with distributed delays in control

Mabel Rajendran; K. Balachandran; M. Suvinthra

doi:10.1080/23307706.2017.1297690

Controllability of nonlinear stochastic fractional systems with distributed delays in control

Mabel Rajendran^*, K. Balachandran, M. Suvinthra

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we study the controllability of linear and nonlinear stochastic fractional systems with bounded operator having distributed delay in control. The necessary and sufficient conditions for controllability of the linear system is obtained. Also, the nonlinear system is shown controllable under the assumption that the corresponding linear system is controllable and using the Banach contraction principle.

Original language	English
Pages (from-to)	153-167
Number of pages	15
Journal	Journal of Control and Decision
Volume	4
Issue number	3
DOIs	https://doi.org/10.1080/23307706.2017.1297690
Publication status	Published - 9 Mar 2017

Access to Document

10.1080/23307706.2017.1297690Licence: None: All rights reserved

Cite this

@article{729b7286899f4f61b61b024bf8b66f2a,

title = "Controllability of nonlinear stochastic fractional systems with distributed delays in control",

abstract = "In this paper we study the controllability of linear and nonlinear stochastic fractional systems with bounded operator having distributed delay in control. The necessary and sufficient conditions for controllability of the linear system is obtained. Also, the nonlinear system is shown controllable under the assumption that the corresponding linear system is controllable and using the Banach contraction principle.",

author = "Mabel Rajendran and K. Balachandran and M. Suvinthra",

year = "2017",

month = mar,

day = "9",

doi = "10.1080/23307706.2017.1297690",

language = "English",

volume = "4",

pages = "153--167",

journal = "Journal of Control and Decision",

issn = "2330-7706",

publisher = "Taylor and Francis Group",

number = "3",

}

TY - JOUR

T1 - Controllability of nonlinear stochastic fractional systems with distributed delays in control

AU - Rajendran, Mabel

AU - Balachandran, K.

AU - Suvinthra, M.

PY - 2017/3/9

Y1 - 2017/3/9

N2 - In this paper we study the controllability of linear and nonlinear stochastic fractional systems with bounded operator having distributed delay in control. The necessary and sufficient conditions for controllability of the linear system is obtained. Also, the nonlinear system is shown controllable under the assumption that the corresponding linear system is controllable and using the Banach contraction principle.

AB - In this paper we study the controllability of linear and nonlinear stochastic fractional systems with bounded operator having distributed delay in control. The necessary and sufficient conditions for controllability of the linear system is obtained. Also, the nonlinear system is shown controllable under the assumption that the corresponding linear system is controllable and using the Banach contraction principle.

UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-85028565692&partnerID=MN8TOARS

U2 - 10.1080/23307706.2017.1297690

DO - 10.1080/23307706.2017.1297690

M3 - Article

SN - 2330-7706

VL - 4

SP - 153

EP - 167

JO - Journal of Control and Decision

JF - Journal of Control and Decision

IS - 3

ER -

Controllability of nonlinear stochastic fractional systems with distributed delays in control

Abstract

Access to Document

Fingerprint

Cite this