Absolute stability and the Lagrange-Dirichlet theorem with monotone multivalued mappings

被引：92

作者：

Brogliato, B ^{[1
]}

机构：

[1] ZIRST Montbonnot, INRIA Rhone Alpes, F-38334 Saint Ismier, France

来源：

SYSTEMS & CONTROL LETTERS | 2004年 / 51卷 / 05期

关键词：

absolute stability; nonsmooth Lyapunov functions; multivalued monotone mappings; Moreau's sweeping process; passivity; convex analysis;

D O I：

10.1016/j.sysconle.2003.09.007

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 note presents an extension of the absolute stability problem and of the Lagrange-Dirichlet theorem, when the nonlinearities entering the model are considered within the class of monotone multivalued mappings (consequently including operators with piecewise-linear graphs that may represent physical effects like Coulomb friction, dead-zones, saturations, elasto-plasticity, and unilateral constraints). (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：343 / 353

页数：11

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