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Asymptotic Stability of the Dynamic Solution of an N-Unit Series System with Finite Number of Vacations

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Document pages: 17 pages

Abstract: We investigate an N-unit series system with finitenumber of vacations. By analyzing the spectral distribution of the systemoperator and taking into account the irreducibility of the semigroup generatedby the system operator we prove that the dynamic solution converges strongly tothe steady state solution. Thus we obtainasymptotic stability of the dynamic solution of the system.

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