Stability Analysis of Distributed-Order Systems: a Lyapunov Scheme

被引:1
|
作者
Badri, Vahid [1 ]
机构
[1] Shahid Beheshti Univ, Fac Elect Engn, Tehran 1983969411, Iran
来源
2021 29TH IRANIAN CONFERENCE ON ELECTRICAL ENGINEERING (ICEE) | 2021年
关键词
distributed-order systems; Lyapunov stability; fractional calculus; stability analysis; time-delay; MODEL;
D O I
10.1109/ICEE52715.2021.9544282
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper introduces a novel Lyapunov-based method for stability analysis of distributed-order systems with different fractional-order weight functions in their pseudo-states' dynamics and in the presence of time-delay. First, stability analysis of the integer-order counterparts of the distributed order systems are considered. Under some circumstances, the proposed stability analysis method is extended for distributed-order systems. The proposed method is not limited to the distributed-order ordinary differential equations and can be applied to the distributed-order partial differential equations, too. In fact, the proposed stability analysis method links stability of distributed-order systems to the stability of their integer-order counterparts. Evaluation of the above-mentioned achievements are done by two numerical examples.
引用
收藏
页码:618 / 621
页数:4
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