2012/04/14 by Zbigniew Bartosiewicz, Bartosiewicz, Zbigniew
Engineering · Mathematics · #93B05 #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Nonlinear Differential Equations Analysis #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems
paper · pdf · doi:10.48550/arxiv.1204.3182
openalex publication_date 2012/04/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.