Extension of Razumikhin's Theorem for Time-Varying Systems with Delay

被引：0

作者：

Mazenc, Frederic ^{[1
]}

Malisoff, Michael ^{[2
]}

机构：

[1] Univ Paris Sud, Cent Supelec, Lab Signaux & Syst, EPI DISCO Inria Saclay,UMR CNRS 8506, F-91192 Gif Sur Yvette, France

[2] Louisiana State Univ, Dept Math, 303 Lockett Hall, Baton Rouge, LA 70803 USA

来源：

2016 AMERICAN CONTROL CONFERENCE (ACC) | 2016年

基金：

美国国家科学基金会;

关键词：

delay; Lyapunov; Razumikhin; stability; REDUCTION MODEL APPROACH; NONLINEAR-SYSTEMS; STABILITY; COMPENSATION; ROBUSTNESS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We prove a new extension of Razumikhin's theorem that applies to time-varying nonlinear systems with time-varying delays, using a novel 'strictification' method for converting a nonstrict Lyapunov function into a strict Lyapunov function. We apply our method to a model from identification theory, to illustrate how our new result can allow broader classes of delays than earlier methods.

引用

页码：84 / 88

页数：5

共 28 条

[1]

Bekiaris-Liberis N., 2013, ADV DESIGN CONTROL, V25

[2] Robustness of nonlinear predictor feedback laws to time- and state-dependent delay perturbations [J].

Bekiaris-Liberis, Nikolaos ;

Krstic, Miroslav .

AUTOMATICA, 2013, 49 (06) :1576-1590

[3]

Bresch-Pietri D, 2014, IEEE DECIS CONTR P, P457, DOI 10.1109/CDC.2014.7039423

[4]

Dieulot JY, 2001, IEEE DECIS CONTR P, P4027, DOI 10.1109/CDC.2001.980523

[5]

Downey R, 2016, ADV DELAY DYN, V4, P143, DOI 10.1007/978-3-319-18072-4_7

[6] On complete Lyapunov-Krasovskii functional techniques for uncertain systems with fast-varying delays [J].

Fridman, Emilia ;

Niculescu, Silviu-Iulian .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2008, 18 (03) :364-374

[7]

GU K., 2003, CONTROL ENGN SER BIR

[8] Survey on recent results in the stability and control of time-delay systems [J].

Gu, KQ ;

Niculescu, SI .

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2003, 125 (02) :158-165

[9] Further remarks on additional dynamics in various model transformations of linear delay systems [J].

Gu, KQ ;

Niculescu, SI .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (03) :497-500

[10]

Halanay A., 1966, Differential equations: Stability, Oscillations and Time Lags, V6

← 1 2 3 →