A new criterion for boundedness of solutions for a class of periodic systems

被引：0

作者：

Efimov, Denis ^{[1
,2
,3
]}

Schiffer, Johannes ^{[4
]}

机构：

[1] INRIA, Non A Team, Parc Sci Haute Borne,40 Ave Halley, F-59650 Villeneuve Dascq, France

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

[3] Univ ITMO, Dept Control Syst & Informat, 49 Ave Kronverkskiy, St Petersburg 197101, Russia

[4] Univ Leeds, Sch Elect & Elect Engn, Leeds LS2 9JT, W Yorkshire, England

来源：

2018 EUROPEAN CONTROL CONFERENCE (ECC) | 2018年

关键词：

INTERNAL-MODEL APPROACH; FREQUENCY REGULATION; NONLINEAR-SYSTEMS; POWER-SYSTEMS; STABILITY; SYNCHRONIZATION;

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：

A wide range of practical systems exhibits dynamics, which are periodic with respect to several state variables and which possess multiple invariant solutions. Yet, when analyzing stability of such systems, many classical techniques often fall short in that they only permit to establish local stability properties. Motivated by this, we present a new sufficient criterion for global stability of such a class of nonlinear systems. The proposed approach is characterized by two main properties. First, it develops the conventional cell structure framework to the case of multiple periodic states. Second, it extends the standard Lyapunov theory by relaxing the usual definiteness requirements of the employed Lyapunov functions to signindefinite functions.

引用

页码：1642 / 1647

页数：6

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