2009 • Conference Paper
A characterization of solution sets of LTI differential equations
Authors:
Delvenne, Jean-Charles ,
Ivanov, T.
Published in:
2009 Joint 48th IEEE Conference on Decision and Control (CDC) and 28th Chinese Control Conference (CCC 2009)
We prove that a controllable set of smooth trajectories is the solution set of a constant coefficient linear differential equation if and only if it is linear, time invariant and closed. This characterization does not involve derivatives in its formulation. It solves a problem opened by Willems.