Title :
Relationship between positive stable realizations of linear systems with real poles and zeros
Author :
Kaczorek, Tadeusz
Author_Institution :
Fac. of Electr. Eng., Bialystok Univ. of Technol., Bialystok, Poland
Abstract :
The problem of positive asymptotically stable realizations and relations between them is addressed. Sufficient conditions for existence of the positive asymptotically stable realizations of linear continuous-time systems with real negative poles and zeros are established. A matrix of similarity transformation is proposed which preserves the positivity and asymptotic stability of the linear systems.
Keywords :
asymptotic stability; linear systems; poles and zeros; asymptotic stability; linear continuous-time systems; linear systems; positive asymptotically stable realizations; positive stable realizations; positivity stability; real negative poles and zeros; real poles and zeros; Asymptotic stability; Linear systems; Poles and zeros; Polynomials; Sufficient conditions;
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2012 17th International Conference on
Conference_Location :
Miedzyzdrojie
Print_ISBN :
978-1-4673-2121-1
DOI :
10.1109/MMAR.2012.6347853