On the Absolute Stability of a Class of Inditrect Control Systems

Zhao Hongyong; Teng Zhidong

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Zhao Hongyong, Teng Zhidong. On the Absolute Stability of a Class of Inditrect Control Systems[J]. Applied Mathematics and Mechanics, 2000, 21(7): 732-740.

Citation:

Zhao Hongyong, Teng Zhidong. On the Absolute Stability of a Class of Inditrect Control Systems[J]. Applied Mathematics and Mechanics, 2000, 21(7): 732-740.

Citation:

Zhao Hongyong, Teng Zhidong. On the Absolute Stability of a Class of Inditrect Control Systems[J]. Applied Mathematics and Mechanics, 2000, 21(7): 732-740.

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On the Absolute Stability of a Class of Inditrect Control Systems

Zhao Hongyong^1,2,
Teng Zhidong²

1.
College of Mathematics, Sichuan University, Chengdu 610064, P R china;
2.
Department of Mathematics, Xinjiang University, rümqi 830046, P R China

Received Date: 1998-12-31
Rev Recd Date: 2000-01-25
Publish Date: 2000-07-15

Abstract

Abstract

The absolute stability of a class of indirect control systems by applying the theory of Hermitian quadratic form and Jordan normal form was studied.The alge braic formal criteria for the absolute stability are established,and these results are new and useful.
- indirect control system,
- absolute stability,
- Hermitian quadratic form,
- Jordan normal form

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References(7)

References

[1]	Lefsohetz S. Stability of Nonlinear Control Systems[M]. New York-London: Acad Press,1965.
[2]	廖晓昕. 关于控制系统绝对稳定性准侧[J]. 应用数学和力学,1982,3(2):235～247.
[3]	裘晓钢,舒仲周. 控制系统第二标准型的绝对稳定性[J]. 应用数学和力学,1986,7(9):785～800.
[4]	列托夫 A M. 非线性调节系统的稳定性[M]. 李惠译.北京:科学出版社,1959.
[5]	张继业,舒仲周. 直接控制系统绝对稳定性充要准则[J]. 应用数学和力学,1994,15(3):245～251.
[6]	张维,Luvie型直接控制系统的绝对稳定性准则[J]. 应用数学和力学,1989,10(10):909～920.
[7]	谢惠民. 绝对稳定性理论与应用[M]. 北京:科学出版社,1986.