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Large-scale stochastic hereditary systems under Markovian structural perturbations. Part II. Qualitative analysis of isolated subsystems

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  • G. S. Ladde

Abstract

In this part of the work, the convergence and stability analysis of isolated subsystems of stochastic hereditary systems under random structural perturbations is investigated. The variational comparison theorems developed in Part I are used to achieve this goal. Under algebraic conditions on the rate coefficients, time-delay, and an intensity matrix associated with the Markov chain, convergence and stability results are obtained. Furthermore, it is shown that these properties are affected by hereditary and random structural perturbations effects. It is further shown that the mathematical conditions are algebraically simple and are robust to the parametric changes. This investigation provides a basis for drawing the conclusions about the overall large-scale system.

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  • G. S. Ladde, 2006. "Large-scale stochastic hereditary systems under Markovian structural perturbations. Part II. Qualitative analysis of isolated subsystems," International Journal of Stochastic Analysis, Hindawi, vol. 2006, pages 1-14, April.
    • Handle: RePEc:hin:jnijsa:067268
    DOI: 10.1155/JAMSA/2006/67268
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