Approximate controllability for a retarded semilinear stochastic evolution system. (6th November 2017)

• Record Type: Journal Article
• Authors: Mokkedem, Fatima Zahra; Fu, Xianlong
• Is Part Of: IMA journal of mathematical control and information. Volume 36:Number 1(2019)
• Page Start: 285
• Page End: 315
• Publication Date: 2017-11-06
• Subjects: stochastic evolution system -- approximate controllability -- fundamental solution -- resolvent condition -- finite delay; Control theory -- Periodicals; 629.831205
• DOI: 10.1093/imamci/dnx045
• Languages: English
• ISSNs: 0265-0754

Abstract

Abstract: In this work, we study the approximate controllability for a class of semilinear stochastic evolution systems with finite delays in $L_p$ space. The main technique is the fundamental solution theory constructed through Laplace transformation. The approximate controllability result is obtained via the so-called resolvent condition. The nonlinear terms are only required to be partly uniformly bounded. An example is provided to illustrate the obtained results.