A Notion of Controllability for Uncertain Linear Systems with Structured Uncertainty

This paper introduces a notion of possible controllability for a class of uncertain linear systems with structured uncertainty described by averaged integral quadratic constraints. This notion relates to the question of when a state is controllable for some possible value of the uncertainty. This question may arise which considering modeling and realization theory for uncertain systems. The paper presents an algorithm for finding the possible controllability function which is related to the controllability Gramian for linear systems and the corresponding controllability cone.