Linear positive control systems on time scales. Controllability
Optimization and Control
2012-04-17 v1
Abstract
Positive linear systems on arbitrary time scales are studied. The theory developed in the paper unifies and extends concepts and results known for continuous-time and discrete-time systems. A necessary and sufficient condition for a linear system on a time scale to be positive is presented. Properties of positive reachable sets are investigated and characterizations of various controllability properties are presented. A modified Gram matrix of the system is used to state necessary and sufficient condition of positive reachability of a positive system on an arbitrary time scale.
Cite
@article{arxiv.1204.3182,
title = {Linear positive control systems on time scales. Controllability},
author = {Zbigniew Bartosiewicz},
journal= {arXiv preprint arXiv:1204.3182},
year = {2012}
}
Comments
14 pages