NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF LIAPUNOV FUNCTION OF LUR''''E FORM WITH■≤0

This paper is concerned with the problem of absolute stability for a control system with severalexecutive elements. Necessary and sufficient conditions are obtained for the existence of Liapunovfunction of Lur'e form with negative semi--definite derivative (i.e. V≤0).     

ON PROBLEM OF ABSOLUTE STABILITY FOR CONTROL SYSTEMS WITH SUPERPOSITION OF NONLINEAR ELEMENTS IN THE CASE OF AN INFINITE SECTOR

ＯＮＰＲＯＢＬＥＭＯＦＡＢＳＯＬＵＴＥＳＴＡＢＩＬＩＴＹＦＯＲＣＯＮＴＲＯＬＳＹＳＴＥＭＳＷＩＴＨＳＵＰＥＲＰＯＳＩＴＩＯＮＯＦＮＯＮＬＩＮＥＡＲＥＬＥＭＥＮＴＳ　ＩＮＴＨＥＣＡＳＥＯＦＡＮＩＮＦＩＮＩＴＥＳＥＣＴＯＲＷｕＹｏｎｇｘｉａｎ（仵永先）＆...     

绝对稳定性的新频率准则

本文考虑具有多个非线性元素的控制系统的绝对稳定性问题。得出了Ｌｕｒｉｅ型Ｌｙａｐｕｎｏｖ函数存在的充要条件，并由此引导出绝对稳定性的新频率准则，它改进了文献［１］，［２］中的新近结果。     

电力系统渐近稳定域的估计

电力系统暂态稳定问题在远距离电力输送中意义格外重大。函数方法正是研究电力系统暂态稳定性的有力工具,近年来有不少人用直接方法研究这个问题,其中[1—3]用非线性系统绝对稳定性的Popov定理建立型的函数V(x),借助于这个函数估计围绕故障后系统平衡状态的渐近稳定域,即所谓吸引区域。现有的结果往往是保守的,因为由估计得到的渐近稳定域在实际的渐近稳定域之内。本文给出估计渐近稳定域的一种方法,它比[3]中方法更精确,因而也比[1—2]中的方法更精确。     

Absolute stability of general lurie type indirect control systems

1. IntroductionThe absolute stability problem is one of the central topics of the stability theory for itstheoretical and engineering importance. UP to date, this problem has been studied by manyauthors [1--9], and many sufficient conditions and some necessary and sufficiellt conditions inspecial cases for absolute stability are obtained. In papers [7,8], Liao gave a necessary andsufficient condition for absolute stability for partial arguments. In this paperg by using anew concept of absolut…