APPLICATION OF THE DRAZIN INVERSE TO THE ANALYSIS OF DESCRIPTOR FRACTIONAL DISCRETE-TIME LINEAR SYSTEMS WITH REGULAR PENCILS

被引:39
作者
Kaczorek, Tadeusz [1 ]
机构
[1] Bialystok Tech Univ, Fac Elect Engn, PL-15351 Bialystok, Poland
关键词
Drazin inverse; descriptor; fractional system; discrete-time system; linear system; STRUCTURAL-PROPERTIES;
D O I
10.2478/amcs-2013-0003
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The Drazin inverse of matrices is applied to find the solutions of the state equations of descriptor fractional discrete-time systems with regular pencils. An equality defining the set of admissible initial conditions for given inputs is derived. The proposed method is illustrated by a numerical example.
引用
收藏
页码:29 / 33
页数:5
相关论文
共 23 条
[1]  
[Anonymous], 1992, LINEAR CONTROL SYSTE
[2]  
[Anonymous], 1989, LECT NOTES CONTROL I
[3]  
[Anonymous], 2000, PUR AP M-WI
[4]  
Bru R, 2003, LECT NOTES CONTR INF, V294, P233
[5]   Structural properties of positive linear time-invariant difference-algebraic equations [J].
Bru, R ;
Coll, C ;
Sánchez, E .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 349 (1-3) :1-10
[6]  
Bru R., 2000, SYSTEM CONTROL THEOR, P44
[7]   APPLICATIONS OF DRAZIN INVERSE TO LINEAR-SYSTEMS OF DIFFERENTIAL EQUATIONS WITH SINGULAR CONSTANT COEFFICIENTS [J].
CAMPBELL, SL ;
MEYER, CD ;
ROSE, NJ .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1976, 31 (03) :411-425
[8]  
COMMALUT C., 2006, LECT NOTES CONTROL I, V341
[9]   Singular systems, state feedback problem [J].
Dodig, Marija ;
Stosic, Marko .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 431 (08) :1267-1292
[10]  
FAHMY MM, 1989, INT J CONTROL, V49, P1421, DOI 10.1080/00207178908961323