Premium
Controllability of Stochastic Delay Systems with Impulse in a Separable Hilbert Space
Author(s) -
Guo Yingxin,
Xu Chao
Publication year - 2016
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1100
Subject(s) - controllability , hilbert space , compact space , mathematics , separable space , impulse (physics) , contraction (grammar) , control theory (sociology) , generalization , nonlinear system , mathematical analysis , pure mathematics , computer science , control (management) , physics , classical mechanics , medicine , quantum mechanics , artificial intelligence
In this paper, we study the controllability of a kind of nonlinear stochastic impulsive system with infinite delay in abstract space. Sufficient conditions for the controllability are obtained via the generalization of the contraction mapping principle and with none of the compactness condition restriction on the evolution family of operators for the system. Finally, a numerical example is given to illustrate the effectiveness of our results.