Asymptotic Stability of Caputo Type Fractional Neutral Dynamical Systems with Multiple Discrete Delays

被引：2
作者：
Zhang, Hai [1 ,2 ]
Wu, Daiyong [2 ]
Cao, Jinde [1 ,3 ]
机构：
[1] Southeast Univ, Res Ctr Complex Syst & Network Sci, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[2] Anqing Normal Univ, Dept Math, Anqing 246133, Anhui, Peoples R China
[3] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
基金：
中国国家自然科学基金;
关键词：
EXPONENTIAL STABILITY; EQUATIONS; NETWORKS; THEOREM;
D O I：
10.1155/2014/138124
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss the delay-independent asymptotic stability of Caputo type fractional-order neutral differential systems with multiple discrete delays. Based on the algebraic approach and matrix theory, the sufficient conditions are derived to ensure the asymptotic stability for all time-delay parameters. By applying the stability criteria, one can avoid solving the roots of transcendental equations. The results obtained are computationally flexible and convenient. Moreover, an example is provided to illustrate the effectiveness and applicability of the proposed theoretical results.
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收藏
页数：10
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