黑龙江大学自然科学学报
黑龍江大學自然科學學報
흑룡강대학자연과학학보
JOURNAL OF NATURAL SCIENCE OF HEILONGJIANG UNIVERSITY
2008年
3期
354-357,362
,共5页
脉冲延迟差分方程%Lyapunov函数%指数稳定性
脈遲延遲差分方程%Lyapunov函數%指數穩定性
맥충연지차분방정%Lyapunov함수%지수은정성
impulsive delay difference equation%Lyapunov function%exponential stability
研究脉冲延迟差分方程的指数稳定性.通过引入Lyapunov函数,指出在Lyapunov函数满足一定条件的情形下,脉冲延迟差分方程是指数稳定的,从而给出了脉冲延迟差分方程是指数稳定的充分条件.将所获得的稳定性结论应用于线性脉冲延迟差分方程,具体给出了Lyapunov函数,也给出了该线性方程是指数稳定的充分条件.数值算例验证了文中的结论.
研究脈遲延遲差分方程的指數穩定性.通過引入Lyapunov函數,指齣在Lyapunov函數滿足一定條件的情形下,脈遲延遲差分方程是指數穩定的,從而給齣瞭脈遲延遲差分方程是指數穩定的充分條件.將所穫得的穩定性結論應用于線性脈遲延遲差分方程,具體給齣瞭Lyapunov函數,也給齣瞭該線性方程是指數穩定的充分條件.數值算例驗證瞭文中的結論.
연구맥충연지차분방정적지수은정성.통과인입Lyapunov함수,지출재Lyapunov함수만족일정조건적정형하,맥충연지차분방정시지수은정적,종이급출료맥충연지차분방정시지수은정적충분조건.장소획득적은정성결론응용우선성맥충연지차분방정,구체급출료Lyapunov함수,야급출료해선성방정시지수은정적충분조건.수치산례험증료문중적결론.
The exponential stability of impulsive delay difference equations is considered.Employing the Lyapunov function,Some conditions are obtained which guarantee the exponential stability of impulsive delay difference equations,that is the stability criteria for the impulsive delay difference equations.For linear impulsive delay difference equations,a concrete Lyapunov function is given.Then,by utilizing the foregoing result,a stability criterion for linear impulsive delay difference equations is offered.Finally,two numerical experiments illustrate the correctness of the results.
