控制系统第二标准型的绝对稳定性准则

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

摘要: 本文给出控制系统实的第二标准型^[1] 绝对稳定的显式准则,包含并改进了文[2]的相应结论,将所得结果应用于著名的飞机纵向运动方程^[3,4,2],所得结果包含并改进了文[3,4,2]的结论.

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.

[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).