A Characterization of Controllability for Discrete-Time Linear Systems with Convex Constraints

TL;DR

This paper provides a comprehensive characterization of controllability for discrete-time linear systems with convex output constraints, extending previous results and unifying various cases in the literature.

Contribution

It introduces a generalized characterization of controllability for systems with convex output constraints, broadening the scope beyond prior specific cases.

Findings

Unified framework for controllability with convex constraints

Extension of previous results on conic constraints

Broader applicability to discrete-time linear systems

Abstract

We give a characterization of the controllability for discrete-time linear systems with convex output constraints. It extends all previously known characterizations in the literature, as well as our previous results on controllability of discrete-time linear systems with conic output constraints.