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关于扰动Volterra型差分方程的两度量稳定性(英文)
Stability in terms of two measures for perturbed Volterra-type difference equations
【摘要】 讨论了一类扰动Volterra型差分方程,给出了关于扰动系统和非扰动系统的比较原理,并运用这一比较原理和Lyapunov函数方法,给出了扰动Volterra型差分方程的两度量稳定性的判别准则.
【Abstract】 Some criteria on stability in terms of two measures for the perturbed Volterra-type difference equations are obtained by establishing a new comparison theorem which connects the perturbed system and the unperturbed one.
【关键词】 扰动Volterra型差分方程;
两度量稳定;
比较定理;
【Key words】 perturbed Volterra-type difference equations; stability in terms of two measures; comparison theorem;
【Key words】 perturbed Volterra-type difference equations; stability in terms of two measures; comparison theorem;
【基金】 Supportedby the Project-sponsored by SRFfor ROCS,SEM of China(48371109)the Natural Science Found ation of Hebei Province(A2006000941)
- 【文献出处】 黑龙江大学自然科学学报 ,Journal of Natural Science of Heilongjiang University , 编辑部邮箱 ,2006年04期
- 【分类号】O175.7
- 【下载频次】39