Some Differential Inequalities on Time Scales and Their Applications to Feedback Control Systems

被引：2
|
作者：
Fan, Yonghong [1 ]
Yu, Yangyang [1 ]
Wang, Linlin [1 ]
机构：
[1] Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Shandong, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2017年 / 2017卷
基金：
中国国家自然科学基金;
关键词：
SPECIES COOPERATION SYSTEM; PERMANENCE; DELAYS; MODEL;
D O I：
10.1155/2017/9195613
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with feedback control systems on time scales. Firstly, we generalize the semicycle concept to time scales and then establish some differential inequalities on time scales. Secondly, as applications of these inequalities, we study the uniform ultimate boundedness of solutions of these systems. We give a new method to investigate the permanence of ecosystem on time scales. And some known results have been generalized. Finally, an example is given to support the result.
引用
收藏
页数：11
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