What types of functions may be the Perron function of a diagonal discrete linear time-varying systems? * *The research of Artur Babiarz, Adam Czornik and Michal Niezabitowski was done as parts of the projects funded by the National Science Centre in Poland granted according to decisions DEC-2015/19/D/ST7/03679 (A.B.) and DEC-2014/13/B/ST7/00755 (A.C. and M.N.). Moreover, the calculations were performed with the

Abstract

Abstract In this paper we investigate properties of the Perron exponents of diagonal discrete linear time-varying systems. We give necessary and sufficient conditions for a function / to be the Perron function of the considered systems.