Open AccessGlobal exponential stabilization for parabolic type systems with continuously distributed delays
Author(s) -
Yiping Luo,
Fujin Deng,
Li Anping
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.637
Subject(s) - sort , computation , type (biology) , computer science , class (philosophy) , exponential type , exponential function , derivative (finance) , control theory (sociology) , exponential growth , mathematics , mathematical analysis , algorithm , control (management) , ecology , information retrieval , artificial intelligence , economics , biology , financial economics
A sort of new method is put forward which is not similar to existing methods for a class of parabolic type systems with time-varying delays. By employing generalized Halanay's inequality, Dini derivative and the technique of differential inequality, a sufficient condition for the type of stabilization are derived. The stabilization criteria are delay-independent. A computation example is given to illustrate the proposed method. In addition, the distinct advantage of the method is that the criterions in the paper are easy to be checked, and can be applied in practice easily.