Assignability of dichotomy spectrum for discrete time-varying linear control systems
Optimization and Control
2019-08-14 v1
Abstract
In this paper, we show that for discrete time-varying linear control systems uniform complete controllability implies arbitrary assignability of dichotomy spectrum of closed-loop systems. This result significantly strengthens the result in A. Babiarz et. al. Pole placement theorem for discrete time-varying linear systems.SIAM J. Control Optim. 55 (2017), no. 2, 671-692 about arbitrary assignability of Lyapunov spectrum of discrete time-varying linear control systems.
Cite
@article{arxiv.1908.04763,
title = {Assignability of dichotomy spectrum for discrete time-varying linear control systems},
author = {Le Viet Cuong and Thai Son Doan},
journal= {arXiv preprint arXiv:1908.04763},
year = {2019}
}