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
收藏
页码：3657 / 3662
页数：6
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