Asymptotic properties of incrementally stable systems

被引：41

作者：

Fromion, V

Monaco, S

NormandCyrot, D

机构：

[1] SUPELEC, CNRS, SIGNAUX & SYST LAB, F-91190 GIF SUR YVETTE, FRANCE

[2] AEROSP MISSILES, F-92320 CHATILLON, FRANCE

[3] UNIV ROMA LA SAPIENZA, DIPARTIMENTO INFORMAT & SISTEMIST, I-00184 ROME, ITALY

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1996年 / 41卷 / 05期

关键词：

D O I：

10.1109/9.489210

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

It is shown that incremental stability of an input-output operator ensures asymptotic stability of any equilibrium pair (x(e), u(e)) of its state representation if suitable minimality assumptions hold.

引用

页码：721 / 723

页数：3

共 20 条

[11] ON THE STABILITY AND WELL-POSEDNESS OF INTERCONNECTED NON-LINEAR DYNAMICAL-SYSTEMS [J].

MOYLAN, PJ ;

VANNELLI, A ;

VIDYASAGAR, M .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1980, 27 (11) :1097-1101

[12]

Safonov M.G., 1980, STABILITY ROBUSTNESS

[13] AN OBSERVATION CONCERNING APPLICATION OF CONTRACTION-MAPPING FIXED-POINT THEOREM AND A RESULT CONCERNING NORM-BOUNDEDNESS OF SOLUTIONS OF NONLINEAR FUNCTIONAL EQUATIONS [J].

SANDBERG, IW .

BELL SYSTEM TECHNICAL JOURNAL, 1965, 44 (08) :1809-+

[14] SMOOTH STABILIZATION IMPLIES COPRIME FACTORIZATION [J].

SONTAG, ED .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (04) :435-443

[15] ON A STATE-SPACE APPROACH TO NONLINEAR H-INFINITY CONTROL [J].

VANDERSCHAFT, AJ .

SYSTEMS & CONTROL LETTERS, 1991, 16 (01) :1-8

[16] NEW RELATIONSHIPS BETWEEN INPUT-OUTPUT AND LYAPUNOV STABILITY [J].

VIDYASAGAR, M ;

VANNELLI, A .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (02) :481-483

[17] DISSIPATIVE DYNAMICAL-SYSTEMS .1. GENERAL THEORY [J].

WILLEMS, JC .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1972, 45 (05) :321-&

[18] MECHANISMS FOR STABILITY AND INSTABILITY IN FEEDBACK-SYSTEMS [J].

WILLEMS, JC .

PROCEEDINGS OF THE IEEE, 1976, 64 (01) :24-35

[19] GENERATION OF LYAPUNOV FUNCTIONS FOR INPUT-OUTPUT STABLE SYSTEMS [J].

WILLEMS, JC .

SIAM JOURNAL ON CONTROL, 1971, 9 (01) :105-&

[20] ON INPUT-OUTPUT STABILITY OF TIME-VARYING NONLINEAR FEEDBACK SYSTEMS .I. CONDITIONS DERIVED USING CONCEPTS OF LOOP GAIN CONICITY AND POSITIVITY [J].

ZAMES, G .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1966, AC11 (02) :228-+

← 1 2 →