State estimation for a class of slowly switched positive linear systems

In this study, the state estimation problem for a class of slowly switched positive linear systems (SPLS) is investigated. A multiple linear copositive Lyapunov function (MLCLF) is preliminarily established, by which the state estimator is designed for the underlying systems with an average dwell-time switching. Then, by reducing MLCLF to the common linear copositive Lyapunov function, the results for the SPLS under arbitrary switching can be easily obtained. Finally, a numerical example is given to show the fesibility of the obtained theoretical findings.