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
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;
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
DOI :
10.1109/MMAR.2011.6031323
