Applications of Direct Lyapunov Method in Caputo Non-Integer Order Systems

被引：15
|
作者：
Baranowski, Jerzy [1 ]
Zagorowska, Marta [1 ]
Bauer, Waldemar [1 ]
Dziwinski, Tomasz [1 ]
Piatek, Pawel [1 ]
机构：
[1] AGH Univ Sci & Technol, PL-30059 Krakow, Poland
来源：
ELEKTRONIKA IR ELEKTROTECHNIKA | 2015年 / 21卷 / 02期
关键词：
Command and control systems; stability; stability criteria; Lyapunov methods; fractional calculus;
D O I：
10.5755/j01.eee.21.2.11505
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：
Paper presents certain properties of Lyapunov direct method for non-integer order systems. Mittag-Leffler stability is defined and its relationship with Lyapunov stability is investigated. General results for Lyapunov functions are presented and a new result allowing constructive stability analysis is proved. Results are illustrated with the examples of stability analysis for problem of cooling, chemical reaction evolution and parametric stability analysis.
引用
收藏
页码：10 / 13
页数：4
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