Monotonicity and comparison results for nonnegative dynamic systems. Part II.. Continous-time case

Title:

Monotonicity and comparison results for nonnegative dynamic systems. Part II.. Continous-time case

Creator:

van Dijk, Nico M. and Sladký, Karel

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ff25356d-fa14-4e2f-ac25-f262bacf1472
uuid:ff25356d-fa14-4e2f-ac25-f262bacf1472

Subject:

Markov chains, monotonicity, and nonnegative matrices

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

This second Part II, which follows a first Part I for the discrete-time case (see \cite{DijkSl1}), deals with monotonicity and comparison results, as generalization of the pure stochastic case, for stochastic dynamic systems with arbitrary nonnegative generators in the continuous-time case. In contrast with the discrete-time case the generalization is no longer straightforward. A discrete-time transformation will therefore be developed first. Next, results from Part I can be adopted. The conditions, the technicalities and the results will be studied in detail for a reliability application that initiated the research. This concerns a reliability network with dependent components that can breakdown. A secure analytic performance bound is obtained.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[161]-180

Source:

Kybernetika | 2006 Volume:42 | Number:2

Harvested from:

CDK

Metadata only:

false