On Homogeneous Distributed Parameter Systems

被引：39

作者：

Polyakov, Andrey ^{[1
,2
]}

Efimov, Denis ^{[1
,2
]}

Fridman, Emilia ^{[3
]}

Perruquetti, Wilfrid ^{[1
,2
]}

机构：

[1] Inria Lille Nord Europe, Villeneuve Dascq, France

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

[3] Tel Aviv State Univ, Sch Elect Engn, IL-69978 Tel Aviv, Israel

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2016年 / 61卷 / 11期

关键词：

Distributed parameter systems; stability analysis; nonlinear dynamical systems; FINITE-TIME STABILITY; LYAPUNOV FUNCTION; HYPERBOLIC SYSTEMS; NONLINEAR-SYSTEMS; STABILIZATION;

D O I：

10.1109/TAC.2016.2525925

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 geometric homogeneity is introduced for evolution equations in a Banach space. Scalability property of solutions of homogeneous evolution equations is proven. Some qualitative characteristics of stability of trivial solution are also provided. In particular, finite-time stability of homogeneous evolution equations is studied. Theoretical results are illustrated on important classes of partial differential equations.

引用

页码：3657 / 3662

页数：6

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