Work

Controllability of stochastic semilinear systems

Year: 2025

Type: article

Abstract: In this paper, we demonstrate that the exact controllability concept is inappropriate for stochastic systems by proving the nonfulfillment of the coercivity inequality. As a result, we explore the concept of C-controllability, which was introduced as a weaker alternative to exact controllability when the controllability problem was first extended to stochastic systems. We establish a sufficient condition for C-controllability in finite-dimensional semilinear stochastic systems driven by a Wiener process and illustrate the result with several examples.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-025-03278-7

Authors: Agamirza E. Bashirov, Arzu Ahmadova

Institutions: Eastern Mediterranean University, University of Duisburg-Essen

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

Funder: Universität Duisburg-Essen