On Topological and Metrical Properties of Stabilizing Feedback Gains: the MIMO Case
Systems and Control
2019-04-08 v1
Abstract
In this paper, we discuss various topological and metrical aspects of the set of stabilizing static feedback gains for multiple-input-multiple-output (MIMO) linear-time-invariant (LTI) systems, in both continuous and discrete-time. Recently, connectivity properties of this set (for continuous time) have been reported in the literature, along with a discussion on how this connectivity is affected by restricting the feedback gain to linear subspaces. We show that analogous to the continuous-time case, one can construct instances where the set of stabilizing feedback gains for discrete time LTI systems has exponentially many connected components.
Keywords
Cite
@article{arxiv.1904.02737,
title = {On Topological and Metrical Properties of Stabilizing Feedback Gains: the MIMO Case},
author = {Jingjing Bu and Afshin Mesbahi and Mehran Mesbahi},
journal= {arXiv preprint arXiv:1904.02737},
year = {2019}
}
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17 pages