We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Controllability of semilinear stochastic control system with finite delay.
- Authors
Shukla, Anurag; Sukavanam, N; Pandey, D N
- Abstract
The objective of this paper is to present some sufficient conditions for approximate and exact controllability of semilinear stochastic control system with finite delay. Sufficient conditions for approximate controllability are obtained by separating the given semilinear system into two systems namely a semilinear deterministic system and a linear stochastic system using Schauder fixed point theorem. For obtaining the sufficient conditions for exact controllability of assumed system, Banach fixed point theorem is applied. Instead of a C0-semigroup associated with the mild solution of the system we use the so-called fundamental solution. At the end, examples are given to illustrate the theory.
- Subjects
STOCHASTIC control theory; CONTROLLABILITY in systems engineering; DETERMINISTIC processes; FIXED point theory; SEMIGROUPS of operators
- Publication
IMA Journal of Mathematical Control & Information, 2018, Vol 35, Issue 2, p427
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnw059