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Asymptotic Stability of the Dynamic Solution of an N-Unit Series System with Finite Number of Vacations 被引量:1

Asymptotic Stability of the Dynamic Solution of an N-Unit Series System with Finite Number of Vacations
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摘要 We investigate an N-unit series system with finite number of vacations. By analyzing the spectral distribution of the system operator and taking into account the irreducibility of the semigroup generated by the system operator we prove that the dynamic solution converges strongly to the steady state solution. Thus we obtain asymptotic stability of the dynamic solution of the system. We investigate an N-unit series system with finite number of vacations. By analyzing the spectral distribution of the system operator and taking into account the irreducibility of the semigroup generated by the system operator we prove that the dynamic solution converges strongly to the steady state solution. Thus we obtain asymptotic stability of the dynamic solution of the system.
出处 《Journal of Applied Mathematics and Physics》 2018年第11期2202-2218,共17页 应用数学与应用物理(英文)
关键词 N-Unit Series System C0-SEMIGROUP IRREDUCIBILITY ASYMPTOTIC Stability N-Unit Series System C0-Semigroup Irreducibility Asymptotic Stability
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