Integral Characterizations of Uniform Asymptotic and Exponential Stability with Applications

被引：0
|
作者：
Andrew Teel
Elena Panteley
Antonio Loría
机构：
[1] Center for Control Engineering and Computation (CCEC),
[2] Department of Electrical and Computer Engineering,undefined
[3] University of California,undefined
[4] Santa Barbara,undefined
[5] California 93106-9560,undefined
[6] U.S.A.,undefined
[7] Institute of Problems of Mechanical Engineering,undefined
[8] Academy of Sciences of Russia,undefined
[9] Bolshoi av. 61,undefined
[10] V.O.,undefined
[11] 199178 St. Petersburg,undefined
[12] Russia. elena@ieee.org.,undefined
[13] C.N.R.S.,undefined
[14] LSS-Supelec,undefined
[15] Plateau de Moulon,undefined
[16] 91190 Gif sur Yvette,undefined
[17] France. aloria@lss.supelec.fr.,undefined
来源：
Mathematics of Control, Signals and Systems | 2002年 / 15卷
关键词：
Key words. Differential inclusions, Uniform asymptotic stability, Uniform exponential stability, Matrosov's theorem, Output injection.;
D O I：
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中图分类号：
学科分类号：
摘要：
We present integral characterizations of uniform asymptotic stability and uniform exponential stability for differential equations and inclusions. These characterizations are used to establish new results on concluding uniform global asymptotic stability when uniform global stability is already known and uniform convergence must be established by additional arguments. In one case we generalize Matrosov's theorem on the use of a differentiable auxiliary function. In another case we draw conclusions from a system related to the original by suitable output injection.
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页码：177 / 201
页数：24
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