![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
Three non-symmetrical positive-definite functions that generate non-symmetrical domains of Rn are proposed as candidate Lyapunov functions for discrete-time free linear systems. Three sufficient conditions are given in R2n for these functions to become Lyapunov functions. The generated non-symmetrical domains are the stability domains for the class of dynamical discrete-time free linear systems that satisfy such conditions.