A Study of the Construction of Lyapunov Function for a Class of Fourth Order Nonlinear Systems

Liang Zai-zhong

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Liang Zai-zhong. A Study of the Construction of Lyapunov Function for a Class of Fourth Order Nonlinear Systems[J]. Applied Mathematics and Mechanics, 1995, 16(2): 181-188.

Citation:

Liang Zai-zhong. A Study of the Construction of Lyapunov Function for a Class of Fourth Order Nonlinear Systems[J]. Applied Mathematics and Mechanics, 1995, 16(2): 181-188.

Citation:

Liang Zai-zhong. A Study of the Construction of Lyapunov Function for a Class of Fourth Order Nonlinear Systems[J]. Applied Mathematics and Mechanics, 1995, 16(2): 181-188.

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A Study of the Construction of Lyapunov Function for a Class of Fourth Order Nonlinear Systems

Liang Zai-zhong

Department of Applied Mathematics, Beijing Polytechnic University, Beijing

Received Date: 1994-04-01
Publish Date: 1995-02-15

Abstract

Abstract

In the paper Lyapunov function for a fourth order linear system is given and stability of the trivial solutions to a class of fourth order nonlinear systems is studied.
- nonlinear,
- stability,
- Lyapunov function

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References(2)

References

[1]	王联、王慕秋,《非线性常微分方程定性分析》,哈尔滨工业大学出版社(1987),381-422
[2]	N.r.马尔金,《运动稳定性理论》,解伯民等译,科学出版社(1958),72-73.