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STATIONARY OSCILLATIONS OF SECOND ORDER PERIODIC SYSTEMS UNDER STOCHASTIC NOISE INTERFERENCE
引用本文:Deng Feiqi(Northeast Institute of Heavy Machinery 161042)Feng Zhaoshu,Liu Yongqing(South China University Of Technology510641). STATIONARY OSCILLATIONS OF SECOND ORDER PERIODIC SYSTEMS UNDER STOCHASTIC NOISE INTERFERENCE[J]. Annals of Differential Equations, 1996, 0(3)
作者姓名:Deng Feiqi(Northeast Institute of Heavy Machinery 161042)Feng Zhaoshu  Liu Yongqing(South China University Of Technology510641)
摘    要:STATIONARYOSCILLATIONSOFSECONDORDERPERIODICSYSTEMSUNDERSTOCHASTICNOISEINTERFERENCE¥DengFeiqi(NortheastInstituteofHeavyMachine...


STATIONARY OSCILLATIONS OF SECOND ORDER PERIODIC SYSTEMS UNDER STOCHASTIC NOISE INTERFERENCE
Deng Feiqi. STATIONARY OSCILLATIONS OF SECOND ORDER PERIODIC SYSTEMS UNDER STOCHASTIC NOISE INTERFERENCE[J]. 微分方程年刊(英文版), 1996, 0(3)
Authors:Deng Feiqi
Affiliation:Deng Feiqi(Northeast Institute of Heavy Machinery 161042)Feng Zhaoshu;Liu Yongqing(South China University Of Technology510641)
Abstract:In this paper,the existence of stationary oscillations of second order periodic systemsunder stochastlc noise interference is investigated,and the necessary and sufficient condition for the existence of stationary oscillations in the sense of mean-square stability is obtained via establishing equivalent vector stochastic systems and establishing deterministicequivalent systems in the sense of stability, and applying the existence theorem of stationary oscillations for the deterministic systems.
Keywords:Second order system  Stochastic noise  Mean-square stability   Equivalence  Stationary oscillation.
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