A Characterization of the Distance between Controllable and Uncontrollable LTI Systems

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The controllability distance for a linear time-invariant (LTI) system is defined as the norm of the smallest perturbation rendering the system uncontrollable. This is a widely used concept in control theory and provides a measure of the robustness of a system. Previous investigations have shown that the controllability distance can be characterized by a optimization problem involving singular values of extended matrices. This characterization has been established for general first-order systems and a certain class of higher-order systems. In this paper, we develop an analogous characterization of the controllability distance for a more general family of LTI systems, where controllability is formulated in a behavioral framework.


Original languageEnglish
Title of host publication2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR)
Number of pages4
Publication statusPublished - 8 Oct 2018


Title23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018
Duration27 - 30 August 2018

External IDs

ORCID /0000-0003-0967-6747/work/150327287