Analysis of nonlinear time-delay systems using modules over non-commutative rings

被引：69
作者：
Xia, XH [1 ]
Márquez, LA
Zagalak, P
Moog, CH
机构：
[1] Univ Pretoria, Dept Elect Elect & Comp Engn, ZA-0002 Pretoria, South Africa
[2] IRCCyN, UMR CNRS 6597, F-44321 Nantes 3, France
[3] Acad Sci Czech Republ, Inst Informat Theory & Automat, CR-18208 Prague, Czech Republic
[4] CICESE Res Ctr, Elect & Telecommun Dept, Ensenada 22800, Baja California, Mexico
来源：
AUTOMATICA | 2002年 / 38卷 / 09期
基金：
新加坡国家研究基金会;
关键词：
accessibility; non-commutative rings; nonlinear systems; observability; ore rings; Roesser model; time delay;
D O I：
10.1016/S0005-1098(02)00051-1
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 theory of non-commutative rings is introduced to provide a basis for the study of nonlinear control systems with time delays. The left Ore ring of non-commutative polynomials defined over the field of meromorphic function is suggested as the framework for such a study. This approach is then generalized to a broader class of nonlinear systems with delays that are called generalized Roesser Systems. Finally, the theory is applied to analyze nonlinear time-delay systems. A weak observability is defined and characterized, generalizing the well-known linear result. Properties of closed submodules are then developed to obtain a result on the accessibility of such systems. (C) 2002 Elsevier Science Ltd. All rights reserved.
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页码：1549 / 1555
页数：7
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