The Theorem of the Stability of Linear Nonautonomous ystems under the Frequently-Acting Perturbation

Zhang Shu-shun

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Zhang Shu-shun. The Theorem of the Stability of Linear Nonautonomous ystems under the Frequently-Acting Perturbation[J]. Applied Mathematics and Mechanics, 1986, 7(2): 169-171.

Citation:

Zhang Shu-shun. The Theorem of the Stability of Linear Nonautonomous ystems under the Frequently-Acting Perturbation[J]. Applied Mathematics and Mechanics, 1986, 7(2): 169-171.

Citation:

Zhang Shu-shun. The Theorem of the Stability of Linear Nonautonomous ystems under the Frequently-Acting Perturbation[J]. Applied Mathematics and Mechanics, 1986, 7(2): 169-171.

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The Theorem of the Stability of Linear Nonautonomous ystems under the Frequently-Acting Perturbation

Zhang Shu-shun

Haerbin Shipbuilding Engineering Institute, Haerbin

Received Date: 1983-01-18
Publish Date: 1986-02-15

Abstract

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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References(3)

References

[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).