A PARTIAL-DIFFERENTIAL INEQUALITY FOR DISSIPATIVE NONLINEAR-SYSTEMS

被引：73

作者：

JAMES, MR

机构：

[1] AUSTRALIAN NATL UNIV,COOPERAT RES CTR ROBUST & ADAPT SYST,CANBERRA,ACT 2601,AUSTRALIA

[2] AUSTRALIAN NATL UNIV,DEPT SYST ENGN,CANBERRA,ACT 2601,AUSTRALIA

来源：

SYSTEMS & CONTROL LETTERS | 1993年 / 21卷 / 04期

关键词：

NONLINEAR SYSTEMS; DISSIPATIVE SYSTEMS; PASSIVE SYSTEMS; VISCOSITY SOLUTIONS; STABILITY;

D O I：

10.1016/0167-6911(93)90074-G

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we show that storage functions for dissipative systems can be characterised by a partial differential inequality in the weak (or viscosity) sense. The storage functions need not be differentiable. This characterisation is stable with respect to perturbations. We formulate a version of the positive real lemma for passive systems using the weak sense framework.

引用

页码：315 / 320

页数：6

共 14 条

[1]

Anderson B. D. O., 1973, NETWORK ANAL SYNTHES

[2]

BARLES G, 1987, RAIRO-MATH MODEL NUM, V21, P557

[3] PASSIVITY, FEEDBACK EQUIVALENCE, AND THE GLOBAL STABILIZATION OF MINIMUM PHASE NONLINEAR-SYSTEMS [J].