Work

Stackelberg-Nash Controllability for Abstract Stochastic Evolution Equations and Applications

Year: 2026

Type: article

Abstract: This paper presents the concepts of exact, null, and approximate controllability in the Stackelberg-Nash sense for abstract forward and backward stochastic evolution equations, involving two types of controls: leaders and followers. We begin by proving the existence and uniqueness of the Nash equilibrium, as well as its characterization for fixed leader controls. We then establish a duality between these controllability concepts and the corresponding observability properties. Finally, we apply our theoretical results to the forward and backward stochastic heat equations. The results for the backward heat equation are obtained by deriving a new Carleman estimate.

Source: Journal of Dynamical and Control Systems

DOI: 10.1007/s10883-026-09764-5

Authors: Abdellatif Elgrou, Omar Oukdach

Institutions: University of Salerno, Université Moulay Ismail de Meknes

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

Funder: Università degli Studi di Salerno