差分方程的两度量稳定和扰动锥值Lyapunov函数(英文)
Stability in Terms of Two Measures with Perturbing Lyapunov Functions
摘要
将扰动锥值Lyapunov函数方法引入差分方程;在较弱的条件下讨论了差分方程两度量稳定((h_0,h)-稳定)和两度量渐近稳定((h_0,h)-渐近稳定)等性质。
This paper extended the method of perturbing cone-valued Lyapunov functions for a system of difference equations. Some properties of （h0, h）-stability and （h0, h）- asymptotical stability were discussed under much weaker assumptions.
出处
《华东师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第3期31-38,共8页
Journal of East China Normal University(Natural Science)
参考文献13
-
1MOVCHAN A A.Stability of process with respect to two measures[J].Prikl Math Mekh,1960,24:988-1001
-
2LAKSHMIKANTHAM V.Uniform asymptotic stability criteria for functional differential equations in terms of two measures[J].Nonlinear Analysis,1998,34:1-6.
-
3LAKSHMIKANTHAM V,LEELA S,MARTYNYUK A A.Stability Analysis of Nonlinear Systems[M].New York:Marcel Dekker,1989.
-
4LIU X Z,FU X L.Stability criteria in terms of two measures for discrete system[J].Comput Math Appl,1998,25:327-337.
-
5LAKSHMIKANTHAM V,LEELA S.On perturbing Lyapunov functions[J].Math Systems Theory,1976,10:85-90.
-
6MCRAE F A.Perturbing Lyapunov functions and stability criteria for initial time difference[J].Appl Math Comput,2001,117:313-320.
-
7SOLIMAN A A.On perturbing Lyapunov functional[J].Appl Math Comput,2002,133:319-325.
-
8SOLIMAN A A.Lipschtiz stability with perturbing Lyapunov functionals[J].Appl Math Lett,2004,17:939-944.
-
9LAKSHMIKANTHAM V,LEELA S.Cone-valued Lyapunov function[J].Nonlinear Analysis,1977,1:215-222.
-
10AKPAN E P,AKINYELE O.On the ф-stability of comparison differential systems[J].J Math Anal Appl,1992,164:307-324.
