Several Criterions of Absolute Stability for the Second Canonical Form of Control System

Qiu Xiao-gang; Shu Zhong-zhou

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Qiu Xiao-gang, Shu Zhong-zhou. Several Criterions of Absolute Stability for the Second Canonical Form of Control System[J]. Applied Mathematics and Mechanics, 1986, 7(9): 785-800.

Citation:

Qiu Xiao-gang, Shu Zhong-zhou. Several Criterions of Absolute Stability for the Second Canonical Form of Control System[J]. Applied Mathematics and Mechanics, 1986, 7(9): 785-800.

Citation:

Qiu Xiao-gang, Shu Zhong-zhou. Several Criterions of Absolute Stability for the Second Canonical Form of Control System[J]. Applied Mathematics and Mechanics, 1986, 7(9): 785-800.

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Several Criterions of Absolute Stability for the Second Canonical Form of Control System

Southwestern Jiaotong University, Emei, Sichuan

Received Date: 1985-04-20
Publish Date: 1986-09-15

Abstract

Abstract

In this paper,several explicit criterions of absolute stability for the real second canonical form of control system are given,which generalize and include the known result in ref.[2].By applying these criterions to the well known equations of the longitudinal motion of aircraft,a result that generalizes and includes the known results in refs.[3,4,2] is obtained.

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References(4)

References

[1]	列托夫 A.M.,《非线性调节系统的稳定性》,李惠译,科学出版社(1959).
[2]	廖晓听.关于控制系统的绝对稳定性准则,应用数学和力学,3,2(1982),235-248.
[3]	Лионтковский А.А.и П.Д.Рутковская,Исследование некоторых задач теории устойчивости с помошъю метода векторной функции Ляпунова,Авмомамцка ц Телемеханцка,10(1967).
[4]	Michel,A.N.,stability analysis of interconnected systems,J,SIAM,Cotrol,12(1974).