Input-output-to-state stability

被引：188

作者：

Krichman, M

Sontag, ED

Wang, Y

机构：

[1] Univ Calif Los Angeles, Dept Mech & Aerosp Engn, Los Angeles, CA 90095 USA

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

[3] Florida Atlantic Univ, Dept Math Sci, Boca Raton, FL 33431 USA

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2001年 / 39卷 / 06期

关键词：

nonlinear stability; Lyapunov function techniques; input-output-to-state stability; input-to-state stability; observers; detectability;

D O I：

10.1137/S0363012999365352

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This work explores Lyapunov characterizations of the input-output-to-state stability( IOSS) property for nonlinear systems. The notion of IOSS is a natural generalization of the standard zero-detectability property used in the linear case. The main contribution of this work is to establish a complete equivalence between the IOSS property and the existence of a certain type of smooth Lyapunov function. As corollaries, one shows the existence of norm-estimators, and obtains characterizations of nonlinear detectability in terms of relative stability and of finite-energy estimates.

引用

页码：1874 / 1928

页数：55

共 42 条

[31] BOUNDED-INPUT BOUNDED-OUTPUT STABILIZATION OF NONLINEAR-SYSTEMS USING STATE DETECTORS [J].