Large-scale stochastic hereditary systems under Markovian
structural perturbations. Part I. Variational comparison theorems

Ladde, G. S.

doi:https://doi.org/10.1155/JAMSA/2006/19871

International Journal of Stochastic Analysis

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Volume 2006 | Article ID 019871 | https://doi.org/10.1155/JAMSA/2006/19871

Large-scale stochastic hereditary systems under Markovian structural perturbations. Part I. Variational comparison theorems

G. S. Ladde¹

Received14 Jan 2005

Revised26 Oct 2005

Accepted26 Oct 2005

Published12 Apr 2006

Abstract

This three-part series work investigates the qualitative analysis of large-scale stochastic hereditary systems under random structural perturbations. The random structural perturbations are described by a Markov chain with a finite number of states. The first part of this three-part series work deals with the problem formulation and the development of mathematical tool to undertake this investigation. In this first part, we present variational comparison theorems for isolated subsystems of large-scale stochastic hereditary systems under Markovian structural perturbations. This part lays down the basis for the study of hierarchic systems.

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Copyright

Copyright © 2006 G. S. Ladde. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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