Work

Exact Controllability for Stochastic Schrodinger Equations

Year: 2013

Type: preprint

Abstract: This paper is addressed to studying the exact controllability for stochastic Schrödinger equations by two controls. One is a boundary control in the drift term and the other is an internal control in the diffusion term. By means of the standard duality argument, the control problem is converted into an observability problem for backward stochastic Schrödinger equations, and the desired observability estimate is obtained by a global Carleman estimate. At last, we give a result about the lack of exact controllability, which shows that the action of two controls is necessary.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1304.7136

Author: Lu, Qi

Institutions: University of Electronic Science and Technology of China, Laboratoire Jacques-Louis Lions, Université Pierre-et-Marie-Curie

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities

Award: G7968641173

OpenAlex ID: W2015024381

Cites: 13

Cited by: 1

Related to: 10