On the Input-to-State Stability Property

被引：383

作者：

Sontag, Eduardo D. ^{[1
]}

机构：

[1] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA

来源：

EUROPEAN JOURNAL OF CONTROL | 1995年 / 1卷 / 01期

关键词：

Cascades; Dissipation; Lyapunuv functions; Saturation; Stability;

D O I：

10.1016/S0947-3580(95)70005-X

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The 'input to state stability' (ISS) property provides a natural framework in which to formulate notions of stability with respect to input perturbations. In this expository paper, we review various equivalent definitions expressed in stability, Lyapunov-theoretic, and dissipation terms. We sketch some applications to the stabilisation of cascades of systems and of linear systems subject to control saturation.

引用

页码：24 / 36

页数：13

共 31 条

[1]

Brockett R. W., 1983, DIFFERENTIAL GEOMETR, V27, P181

[2] NEW RESULTS AND EXAMPLES IN NONLINEAR FEEDBACK STABILIZATION [J].

BYRNES, CI ;

ISIDORI, A .

SYSTEMS & CONTROL LETTERS, 1989, 12 (05) :437-442

[3]

CHITOUR Y, 1994, IEEE DECIS CONTR P, P127, DOI 10.1109/CDC.1994.411034

[4]

Hahn W., 1967, STABILITY MOTION

[5]

HILL DJ, 1992, PROCEEDINGS OF THE 31ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, P3259, DOI 10.1109/CDC.1992.371225

[6] DISSIPATIVE DYNAMICAL-SYSTEMS - BASIC INPUT-OUTPUT AND STATE PROPERTIES [J].

HILL, DJ ;

MOYLAN, PJ .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1980, 309 (05) :327-357

[7]

JIANG ZP, 1994, MATH CONTROL SIGNAL, V7, P104

[8]

Lin Y., 1992, THESIS STATE U NEW J THESIS STATE U NEW J

[9]

LIN YD, 1994, PROCEEDINGS OF THE 1994 AMERICAN CONTROL CONFERENCE, VOLS 1-3, P1771

[10]

Liu W, 1993, SIAM J CONT IN PRESS

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