Optimal controls for fractional stochastic differential systems driven by Rosenblatt process with impulses

2021 ◽  
Author(s):  
Rajesh Dhayal ◽  
José Francisco Gómez‐Aguilar ◽  
Guillermo Fernández‐Anaya
Keyword(s):  
Optimal Controls ◽  
Differential Systems ◽  
Rosenblatt Process ◽  
Fractional Stochastic Differential Systems

Controllability of impulsive neutral stochastic integro-differential systems driven by a Rosenblatt process with unbounded delay

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Youssef Benkabdi ◽  
E. Lakhel
Keyword(s):  
Hilbert Space ◽  
Fixed Point ◽  
Stochastic Analysis ◽  
Separable Hilbert Space ◽  
Infinite Delay ◽  
Abstract Result ◽  
Differential Systems ◽  
Unbounded Delay ◽  
Rosenblatt Process ◽  
Controllability Result

Abstract In this paper, the controllability of a class of impulsive neutral stochastic integro-differential systems with infinite delay driven by Rosenblatt process in a separable Hilbert space is studied. The controllability result is obtained by using stochastic analysis and a fixed-point strategy. A practical example is provided to illustrate the viability of the abstract result of this work.

LYAPUNOV VECTORS TREATMENT FOR BIFURCATIONS IN RETARDED DIFFERENTIAL SYSTEMS

1988 ◽  
Vol 49 (C2) ◽  
pp. C2-389-C2-392 ◽  
Author(s):  
M. LE BERRE ◽  
E. RESSAYRE ◽  
A. TALLET ◽  
J. J. ZONDY
Keyword(s):  
Differential Systems
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