Title :
Approximate Controllability for Stochastic Delay Systems with Lévy Noise
Author :
Yin, Xiang-feng ; Xiao, Qing-chu
Author_Institution :
Sch. of Math. & Comput. Sci., Hunan Univ. of Sci. & Technol., Xiangtan, China
Abstract :
We have considered semi-linear stochastic delay systems with Lévy noise. First we study Lévy processes in Hilbert space and present the result for Lévy processes in Hilbert space that the processes can be present as the sum of the series. Then we apply the result to investigate the approximate controllability for stochastic delay systems with Lévy noise. The sufficient conditions for approximate controllability results are established for these stochastic delay systems.
Keywords :
Hilbert spaces; approximation theory; controllability; delays; series (mathematics); stochastic systems; Hilbert space; Levy noise; Levy process; approximate controllability; semilinear stochastic delay system; series sum; sufficient condition; Controllability; Delay; Delay systems; Educational institutions; Hilbert space; Noise; Approximate controllability; Lévy processes; semi-linear retarded stochastic systems;
Conference_Titel :
Information and Computing Science (ICIC), 2012 Fifth International Conference on
Conference_Location :
Liverpool
Print_ISBN :
978-1-4673-1985-0
DOI :
10.1109/ICIC.2012.14
