Positivity of a class of fractional descriptor continuous-time nonlinear systems

被引：3
作者：
Kaczorek, T. [1 ]
机构：
[1] Bialystok Tech Univ, Fac Elect Engn, PL-15351 Bialystok, Poland
来源：
BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES | 2015年 / 63卷 / 02期
关键词：
fractional; descriptor; nonlinear; continuous-time; positive system; STABILITY ANALYSIS; LINEAR-SYSTEMS;
D O I：
10.1515/bpasts-2015-0065
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The positivity of a class of fractional descriptor continuous-time nonlinear systems is addressed by the use of the Weierstrass-Kronecker decomposition of the pencil of linear part of nonlinear system. Sufficient conditions for the positivity are established and illustrated by an example of fractional continuous-time descriptor nonlinear systems.
引用
收藏
页码：561 / 565
页数：5
相关论文
共 25 条
[21]  
Mitkowski W, 2000, CONTROL CYBERN, V29, P295
[22]  
Mitkowski W, 2008, BULL POL ACAD SCI-TE, V56, P309
[23]  
Mitkowski W., 1999, ARCH CONTROL SCI, V9, P123
[24]   Stability analysis of positive descriptor systems [J].
Virnik, Elena .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 429 (10) :2640-2659
[25]   Stability Analysis of a Class of Nonlinear Fractional-Order Systems [J].
Wen, Xiang-Jun ;
Wu, Zheng-Mao ;
Lu, Jun-Guo .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2008, 55 (11) :1178-1182
123