Structural averaged controllability of linear ensemble systems

TL;DR

This paper introduces the concept of structural averaged controllability for linear ensemble systems, establishing conditions for sparsity patterns and highlighting its distinction from traditional controllability.

Contribution

It defines and analyzes structural averaged controllability, providing necessary and sufficient conditions for sparsity patterns, and clarifies its difference from standard controllability.

Findings

Structural averaged controllability is weaker than classical controllability.

Necessary and sufficient conditions for sparsity patterns are established.

Examples illustrate the differences between controllability types.

Abstract

In the paper, we introduce and address the problem of structural averaged controllability for linear ensemble systems. We provide examples highlighting the differences between this problem and others. In particular, we show that structural averaged controllability is strictly weaker than structural controllability for single (or ensembles of) linear systems. We establish a set of necessary or sufficient conditions for sparsity patterns to be structurally averaged controllable.