Jeanne N. Clelland, Yuhao Hu, Matthew W. Stackpole, “Dynamic Equivalence of Control Systems and Infinite Permutation Matrices”, SIGMA, 2019, Volume 15,063, 16 pp.

Dynamic Equivalence of Control Systems and Infinite Permutation Matrices

Jeanne N. Clelland^a, Yuhao Hu^a, Matthew W. Stackpole^b

^a Department of Mathematics, 395 UCB, University of Colorado, Boulder, CO 80309-0395, USA
^b Maxar Technologies, 1300 W. 120th Ave, Westminster, CO 80234, USA

Abstract: To each dynamic equivalence of two control systems is associated an infinite permutation matrix. We investigate how such matrices are related to the existence of dynamic equivalences.

Keywords: dynamic equivalence, control systems.

MSC: 34H05, 58A15, 58A17

Received: February 5, 2019; in final form August 20, 2019; Published online August 26, 2019

Language: English

DOI: 10.3842/SIGMA.2019.063