An almost global notion of input-to-state stability

被引：116
作者：
Angeli, D [1 ]
机构：
[1] Univ Florence, Dipartimento Sistemi & Informat, I-50139 Florence, Italy
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2004年 / 49卷 / 06期
关键词：
almost global stability; density functions; dual Lyapunov methods; input-to-state stability;
D O I：
10.1109/TAC.2004.829594
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A new definition of almost global input-to-state stability for systems on differentiable manifolds is discussed. Some of its properties are investigated and specific examples are shown which can be treated by means of dual Lyapunov techniques.
引用
收藏
页码：866 / 874
页数：9
相关论文
共 21 条
[1]   LYAPUNOV REDESIGN OF ANALOG PHASE-LOCK LOOPS [J].
ABRAMOVITCH, DY .
IEEE TRANSACTIONS ON COMMUNICATIONS, 1990, 38 (12) :2197-2201
[2]  
ANGELI D, 2003, IEEE C DEC CONTR MAU
[3]  
ARNOLD VI, 1989, MATH METHODS CLASSIC, P121
[4]  
Bhatia N. P., 1970, STABILITY THEORY DYN
[5]  
CORON JM, 1995, TRENDS IN CONTROL, P293
[6]  
Isidori A., 1999, NONLINEAR CONTROL 2
[7]  
KODITSCHEK DE, 1989, DYNAMICS CONTROL MUL, V97, P131
[8]  
Kristic M., 1995, Nonlinear and Adaptive Control Design
[9]   A smooth converse Lyapunov theorem for robust stability [J].
Lin, YD ;
Sontag, ED ;
Wang, Y .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1996, 34 (01) :124-160
[10]   THE GENERAL PROBLEM OF THE STABILITY OF MOTION [J].
LYAPUNOV, AM .
INTERNATIONAL JOURNAL OF CONTROL, 1992, 55 (03) :531-773
123