Alternating Approximately Bisimilar Symbolic Models for Nonlinear Control Systems with Unknown Time-Varying Delays

被引:4
作者
Pola, Giordano [1 ]
Pepe, Pierdomenico [1 ]
Di Benedetto, Maria D. [1 ]
机构
[1] Univ Aquila, Elect & Informat Engn Dept, Ctr Excellence DEWS, I-67100 Laquila, Italy
来源
49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2010年
关键词
Time-delay systems; symbolic models; alternating approximate bisimulation; incremental input-delay-to-state stability; time-varying delays; BISIMULATIONS; STABILITY; DISCRETE;
D O I
10.1109/CDC.2010.5717258
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 study existence of symbolic models for the class of nonlinear control systems with unknown time-varying delays. We first introduce the notion of incrementally input-delay-to-state stability and characterize it by means of Liapunov-Krasovskii functionals. We then derive sufficient conditions that guarantee existence of symbolic models which are approximately equivalent, in the sense of alternating approximate bisimulation, to the original time-delay system.
引用
收藏
页码:7649 / 7654
页数:6
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