Large-scale stochastic hereditary systems under Markovianstructural perturbations. Part II. Qualitative analysis of isolatedsubsystems

摘要

In this part of the work, the convergence and stability analysisof isolated subsystems of stochastic hereditary systems underrandom structural perturbations is investigated. The variationalcomparison theorems developed in Part I are used to achieve thisgoal. Under algebraic conditions on the rate coefficients,time-delay, and an intensity matrix associated with the Markovchain, convergence and stability results are obtained.Furthermore, it is shown that these properties are affected byhereditary and random structural perturbations effects. It isfurther shown that the mathematical conditions are algebraicallysimple and are robust to the parametric changes. Thisinvestigation provides a basis for drawing the conclusions aboutthe overall large-scale system.