Controllability properties of bilinear systems in dimension 2

On Controllability and Near-controllability of Multi-input Discrete-time Bilinear Systems in Dimension Two

This paper completely solves the controllability problems of two-dimensional multi-input discrete-time bilinear systems with and without drift. Necessary and sufficient conditions for controllability, which cover the existing results, are obtained by using an algebraic method. Furthermore, for the uncontrollable systems, near-controllability is studied and necessary and sufficient conditions fo...

Controllability of two-dimensional bilinear systems

Introduction

On the controllability of bilinear quantum systems

Bilinear Controllability of a Class of Advection-Diffusion-Reaction Systems

In this paper, we investigate the exact controllability properties of an advection-diffusion equation on a bounded domain, using timeand space-dependent velocity fields as the control parameters. This partial differential equation (PDE) is the Kolmogorov forward equation for a reflected diffusion process that models the spatiotemporal evolution of a swarm of agents. We prove that if a target pr...

Generic controllability properties for the bilinear Schrödinger equation

In [16] we proposed a set of sufficient conditions for the approximate controllability of a discrete-spectrum bilinear Schrödinger equation. These conditions are expressed in terms of the controlled potential and of the eigenpairs of the uncontrolled Schrödinger operator. The aim of this paper is to show that these conditions are generic with respect to the uncontrolled and the controlled poten...