Fractional comparison method and asymptotic stability results for multivariable fractional order systems

被引：48
作者：
Lenka, Bichitra Kumar [1 ]
机构：
[1] Indian Inst Sci Educ & Res Kolkata, Dept Math & Stat, Nadia 741246, W Bengal, India
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2019年 / 69卷
关键词：
Multivariable; Fractional order system; Fractional comparison principle; Asymptotic stability; LYAPUNOV FUNCTIONS;
D O I：
10.1016/j.cnsns.2018.09.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the asymptotic stability of equilibrium points of multivariable fractional order systems where its state equations contain different fractional orders which lie between 0 and 1. First, a fractional comparison principle is presented. Then, some elementary comparison results for linear fractional order systems of different fractional orders are developed. Based on continuously differentiable quadratic function and comparison results, new sufficient conditions are established for the asymptotic stability of linear and nonlinear multivariable fractional order systems. Finally, a few illustrative examples are presented. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：398 / 415
页数：18
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