TY - JOUR
T1 - Controllability of nonlinear stochastic fractional systems with Lévy Noise
AU - Rajendran, Mabel
AU - Balachandran, K.
AU - Suvinthra, M.
PY - 2017
Y1 - 2017
N2 - In this paper we study the controllability of linear and nonlinear stochastic fractional systems driven by Lévy noise. Here we use the Lévy-Itô decomposition of an arbitrary Lévy process into Brownian and Poisson parts. 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 driven by Lévy noise. Here we use the Lévy-Itô decomposition of an arbitrary Lévy process into Brownian and Poisson parts. 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-s2.0-85028535487&partnerID=MN8TOARS
U2 - 10.5890/DNC.2017.09.009
DO - 10.5890/DNC.2017.09.009
M3 - Article
SN - 2164-6376
VL - 6
SP - 409
EP - 420
JO - Discontinuity, Nonlinearity, and Complexity
JF - Discontinuity, Nonlinearity, and Complexity
IS - 3
ER -