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