非定常线性系统在经常作用干扰下的稳定性定理
The Theorem of the Stability of Linear Nonautonomous ystems under the Frequently-Acting Perturbation
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摘要: 文中根据马尔金(Малкин)定理给出并证明了非定常线性系统在经常作用干扰下的稳定性定理.Abstract: In the paper a theorem on the stability of linear nonautonomous system under the frequently-acting perturbation has been given and proved on the basis of Malkin's Theorem.
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[1] Дубошин Г.Н.,К вопросу об устйчивости цвижения относителъпо постоянно действующих возмушений,Трубы ГАИШ,14,1(1940) [2] Малкин И.Г.,Теорца Усмойчиэосмц Дэцженця,Гостхизцат(1952).中译才反,解伯民等译,《运动稳定性理论》,科学出版社(1958). [3] Vidyasagar,M.,Nonlinear,Systems Analysis,sec,5.3,Lemma 82,Lemma 85,Prentice-Hall Englowood Cliffs,New Jersey(1978). -
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