Tractable Razumikhin-type conditions for input-to-state stability analysis of delay difference inclusions

被引：20
作者：
Gielen, R. H. [1 ]
Teel, A. R. [2 ]
Lazar, M. [3 ]
机构：
[1] Eindhoven Univ Technol, NL-5600 MB Eindhoven, Netherlands
[2] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA
[3] Eindhoven Univ Technol, Fac Elect Engn, Control Syst Grp, NL-5600 MB Eindhoven, Netherlands
来源：
AUTOMATICA | 2013年 / 49卷 / 02期
基金：
美国国家科学基金会;
关键词：
Discrete-time systems; Time-delay; Lyapunov methods; Input-to-state stability; DISSIPATIVE DYNAMICAL-SYSTEMS;
D O I：
10.1016/j.automatica.2012.11.048
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
For the stability analysis of time-delay systems, the Razumikhin approach provides (at the cost of some conservatism) a set of conditions that are relatively easy to verify when compared to the Krasovskii approach. Unfortunately, currently, for linear delay difference inclusions (DDIs) verification of these conditions is only possible by solving a bilinear matrix inequality (BMI). To obtain a tractable stability analysis method for DDIs, an alternative set of Razumikhin-type conditions is proposed in this paper, which are based on a technique that was developed for interconnected systems in Willems (1972). In particular, via the proper selection of storage and supply functions, these conditions can be used to establish input-to-state stability (ISS) for general DDIs. When linear DDIs and quadratic functions are considered, l(2)-disturbance attenuation can be established by solving a single linear matrix inequality (LMI). Moreover, this LMI is shown to be less conservative than the BMI corresponding to the existing Razumikhin-type conditions for linear DDIs. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：619 / 625
页数：7
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