The relations between the senior upper general exponent and the upper Bohl exponents

The Bohl exponents, similarly to the Lyapunov exponents, are among the most important numerical characteristics of dynamical systems used in control theory. Properties of the Lyapunov characteristics are well described in the literature. Properties of the Bohl exponents are investigated much less. In this paper we consider the so-called senior upper general exponent of a discrete linear time-varying system and present some alternative formulas for it. Moreover, we discuss relations between upper Bohl exponents of the perturbed system and the senior upper general exponent of the unperturbed system.