DocumentCode
3465862
Title
Deterimination of positive stable realizations with system Metzler matrices
Author
Kaczorek, Tadeusz
Author_Institution
Fac. of Electr. Eng., Bialystok Univ. of Technol., Bialystok, Poland
fYear
2011
fDate
22-25 Aug. 2011
Firstpage
89
Lastpage
94
Abstract
Conditions for the existence of positive stable realizations with system Metzler matrices for linear continuous-time systems are established. A procedure for finding a positive stable realization with system Metzler matrix based on similarity transformation of proper transfer matrices is proposed and demonstrated on numerical examples. It is shown that if the poles of stable transfer matrix are real then the classical Gilbert method can be used to find the positive stable realization.
Keywords
continuous time systems; linear systems; matrix algebra; stability; Gilbert method; linear continuous-time systems; positive stable realization determination; system Metzler matrices; transfer matrices; Biology; Bismuth; Linear systems; Matrix decomposition; Polynomials; Transfer functions; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Methods and Models in Automation and Robotics (MMAR), 2011 16th International Conference on
Conference_Location
Miedzyzdroje
Print_ISBN
978-1-4577-0912-8
Type
conf
DOI
10.1109/MMAR.2011.6031323
Filename
6031323
Link To Document