Positive State Controllability of Discrete Linear Time-Invariant Systems
Feb 29, 2024
About this article
Published Online: Feb 29, 2024
Page range: 110 - 118
Received: Apr 26, 2023
Accepted: Aug 08, 2023
DOI: https://doi.org/10.2478/ama-2024-0014
Keywords
© 2024 Mourad Ouyadri et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Positive state controllability is the controllability of systems where the state is positive and the input remains in ℝn. Under some conditions, we established a relation between the reachability map of systems with only the positive state and the reachability map of a related positive system where the state and input are both positive. Using this connection, necessary and sufficient conditions are obtained for the positive state reachability of discrete linear time-invariant (LTI) systems, and then we deduced the positive state controllability. These conditions are evaluated over some numerical examples that support the theoretical results.