Asymptotical stability of Riemann-Liouville fractional singular systems with multiple time-varying delays

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• 作者：Song Liu ; ^{liusong2152@163.com} ; Xian-Feng Zhou ; Xiaoyan Li ; Wei Jiang
• 关键词：Asymptotical stability ; Riemann&ndash ; Liouville fractional singular system ; Time-varying delay
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：65
• 期：Complete
• 页码：32-39
• 全文大小：715 K
• 卷排序：65

文摘

Stability of Riemann–Liouville fractional singular systems remains an open problem. This paper deals with Riemann–Liouville fractional singular systems with multiple time-varying delays, and two asymptotic stability criteria are derived. The criteria are described as matrix equations or matrix inequalities, which are computationally flexible and efficient. The advantage of our employed method is that one may directly calculate integer-order derivatives of the Lyapunov functions. Finally, a simple example is given to illustrate the effectiveness of our main results.