A necessary and sufficient condition for bounded-input bounded-state stability of nonlinear systems

被引：10

作者：

Bacciotti, A ^{[1
]}

Mazzi, L ^{[1
]}

机构：

[1] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2000年 / 39卷 / 02期

关键词：

Liapunov functions; external stability; nonlinear systems;

D O I：

10.1137/S0363012999350572

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 main purpose of this work is to prove a converse theorem for bounded-input bounded-state stability of nonlinear systems in the framework of Liapunov's second method. The construction gives rise to an upper semicontinuous time-dependent Liapunov function. In certain cases, the monotonicity conditions can be checked by means of contingent directional derivatives.

引用

页码：478 / 491

页数：14

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