On Lyapunov and upper Bohl exponents of diagonal discrete linear time-varying systems

Adam Czornik, Alexander Konyukh, Iryna Konyukh, Michal Niezabitowski, Justyna Orwat
2019 IEEE Transactions on Automatic Control  
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. Index Terms-Discrete linear time-varying system, Lyapunov exponent, upper Bohl exponent.
doi:10.1109/tac.2019.2911848 fatcat:kxbmpzu56bemzmej2mbrhpyy2a