Controllability of nonlinear stochastic fractional systems with distributed delays in control. Issue 3 (3rd July 2017)

• Record Type: Journal Article
• Authors: Mabel Lizzy, R.; Balachandran, K.; Suvinthra, M.
• Is Part Of: Journal of control and decision. Volume 4:Issue 3(2017)
• Page Start: 153
• Page End: 167
• Publication Date: 2017-07-03
• Subjects: Stochastic fractional differential equation -- controllability -- distributed delay; Control theory -- Periodicals; Decision making -- Periodicals; Robotics -- Periodicals; 003.505
• DOI: 10.1080/23307706.2017.1297690
• Languages: English
• ISSNs: 2330-7706

Abstract

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.