IEEE Transactions on Automatic Control, Vol.64, No.12, 5171-5174, 2019
On Lyapunov and Upper Bohl Exponents of Diagonal Discrete Linear Time-Varying Systems
In this paper, we present necessary and sufficient conditions for two given functions to be the Lyapunov and the upper Bohl exponent of a certain discrete linear system with diagonal coefficients. The obtained conditions have a form of easily verifiable algebraic conditions.
Keywords:Time-varying systems;Linear systems;Control theory;Physics;Sociology;Computer science;Discrete linear time-varying system;Lyapunov exponent;upper Bohl exponent