Positive Reachability and Observability of Linear Positive Time-Variant Systems on Non-Uniform Time Domains * * Supported by the Bialystok University of Technology grant S/WI/1/2016

摘要

Positive reachability and positive observability of positive linear time-variant systems on non-uniform time domains are studied. Such systems are treated as particular cases of linear systems on arbitrary time scales. Differential and integral calculus on time scales allows for unified treatment of continuous- and discrete-time systems. Positive reachability and observability are characterized with the aid of associated reachability and observability matrices. It is shown that the properties are dual to each other. Two types of discretizations of continuous-time systems are considered: Euler discretization and sampling. It is shown that both discretizations preserve positive reachability.