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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