Approximate controllability of abstract semilinear stochastic control systems with nonlocal conditions

• Main Authors: Divya Ahluwalia, N. Sukavanam, Urvashi Arora
• Format: Article
• Language: English
• Published: Taylor & Francis Group 2016-12-01
• Series: Cogent Mathematics
• Subjects: semilinear control systems; approximate controllability; Schauder fixed point theorem; nonlocal conditions
• Online Access: http://dx.doi.org/10.1080/23311835.2016.1191409

This paper studies the approximate controllability issue of an abstract semilinear stochastic control system with nonlocal conditions. Sufficient conditions are formulated and proved for the approximate controllability of such systems by splitting the given semilinear system into two systems, namely a semilinear deterministic system and a linear stochastic system. To prove the approximate controllability of semilinear deterministic system, Schauder fixed point theorem has been used. At the end, an example has been presented to illustrate the feasibility of the proposed result.