Monotonicity and comparison results for nonnegative dynamic systems. Part I: Discrete-time case
Nico M. van Dijk, Karel Sladký (2006)
Kybernetika
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In two subsequent parts, Part I and II, monotonicity and comparison results will be studied, as generalization of the pure stochastic case, for arbitrary dynamic systems governed by nonnegative matrices. Part I covers the discrete-time and Part II the continuous-time case. The research has initially been motivated by a reliability application contained in Part II. In the present Part I it is shown that monotonicity and comparison results, as known for Markov chains, do carry over rather...