多时滞和不同分数阶微分系统的稳定性分析  

Stability Analysis of Fractional Differential Systems with Multi- orders and Multi- time Delays

作　　者：温艳华[1] 刘彪[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《佳木斯大学学报（自然科学版）》2014年第5期783-785,788,共4页Journal of Jiamusi University：Natural Science Edition

基　　金：国家自然科学基金(11371027);安徽省高等学校自然科学重点项目(KJ2011A020);安徽省自然科学基金(1208085MA13)

摘　　要：讨论了多时滞的和不同分数阶微分系统,通过拉普拉斯定理和终值定理得出了上述系统的稳定性.并且给出例子来证明定理的应用.In this paper , linear fractional differential systems with multi -orders and multiple time delays were considered .The stability was obtained using the Laplace transform second shifting theorem and the final val -ue theorem.Finally, an example was given to illustrate the application of the theorem .

关 键 词：多时滞 稳定性 拉普拉斯变换 终值定理 

分 类 号：O175[理学—数学]