Implicit Lyapunov-Krasovski Functionals for Stability Analysis and Control Design of Time-Delay Systems

被引：37

作者：

Polyakov, Andrey ^{[1
,2
]}

Efimov, Denis ^{[1
,3
]}

Perruquetti, Wilfrid ^{[1
,2
]}

Richard, J-P. ^{[1
,2
]}

机构：

[1] Inria Lille Nord Europe, Non A, F-59650 Villeneuve Dascq, France

[2] CRIStAL CNRS UMR 9189 Ecole Cent Lille, F-59651 Villeneuve Dascq, France

[3] St Petersburg State Univ Informat Technol Mech &, Dept Control Syst & Informat, St Petersburg 197101, Russia

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2015年 / 60卷 / 12期

关键词：

Delay systems; nonlinear control systems; STABILIZATION;

D O I：

10.1109/TAC.2015.2422451

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 method of Implicit Lyapunov-Krasovski Functional (ILKF) for stability analysis of time-delay systems is introduced. Theorems on Lyapunov, asymptotic, (hyper) exponential, finite-time and fixed-time stability analysis using ILKF are presented. The hyper exponential stabilization algorithm for a time-delay system is presented. The theoretical result is supported by numerical simulation.

引用

页码：3344 / 3349

页数：6

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