When retarded nonlinear time-delay systems admit an input-output representation of neutral type

被引:12
作者
Halas, Miroslav [1 ]
Anguelova, Milena [2 ]
机构
[1] Slovak Univ Technol Bratislava, Fac Elect Engn & IT, Inst Control & Ind Informat, Bratislava 81219, Slovakia
[2] Imego AB, SE-40014 Gothenburg, Sweden
关键词
Nonlinear time-delay systems; Neutral systems; Retarded systems; Input-output representation; Algebraic approach; OBSERVERS;
D O I
10.1016/j.automatica.2012.11.027
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 paper shows that nonlinear retarded time-delay systems can admit an input output representation of neutral type. This behaviour represents a strictly nonlinear phenomenon, for it cannot happen in the linear time-delay case where retarded systems always admit an input output representation of retarded type. A necessary and sufficient condition for a nonlinear system to exhibit this behaviour is given, and a strategy for finding an input output representation of retarded type is outlined. Some open problems that arise consequently are discussed as well. All the systems considered in this work are time-invariant and have commensurable delays. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:561 / 567
页数:7
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