Positivity of descriptor linear systems with regular pencils

被引:6
作者
Kaczorek, Tadeusz [1 ]
机构
[1] Bialystok Tech Univ, Fac Elect Engn, Wiejska 45D, PL-15351 Bialystok, Poland
关键词
descriptor; continuous-time; discrete-time; linear; positivity; regular pencil;
D O I
10.2478/v10171-012-0009-z
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
The positivity of descriptor continuous-time and discrete-time linear systems with regular pencils are addressed. Such systems can be reduced to standard linear systems and can be decomposed into dynamical and static parts. Two definitions of the positive systems are proposed. It is shown that the definitions are not equivalent. Conditions for the positivity of the systems and the relationship between two classes of positive systems are established. The considerations are illustrated by examples of electrical circuits and numerical examples.
引用
收藏
页码:101 / 113
页数:13
相关论文
共 20 条
[1]  
Dai L, 1989, LECT NOTES CONTROL I
[2]   Singular systems, state feedback problem [J].
Dodig, Marija ;
Stosic, Marko .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 431 (08) :1267-1292
[3]   MATRIX PENCIL OF CLOSED-LOOP DESCRIPTOR SYSTEMS - INFINITE-EIGENVALUE ASSIGNMENT [J].
FAHMY, MM ;
OREILLY, J .
INTERNATIONAL JOURNAL OF CONTROL, 1989, 49 (04) :1421-1431
[4]  
Gantmacher F. R., 1960, THEORY MATRICES, V1
[5]  
Kaczorek T., 2004, International Journal of Applied Mathematics and Computer Science, V14, P19
[6]   Positive linear systems with different fractional orders [J].
Kaczorek, T. .
BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2010, 58 (03) :453-458
[7]  
Kaczorek T, 2002, COMM CONT E
[8]  
Kaczorek T., 2012, CHECKING POSITIVITY
[9]  
Kaczorek T., 2011, ACTA MECH AUTOMATICA, V5, P42
[10]  
Kaczorek T., 2011, SINGULAR FRACTIONAL, V40