Title :
A Note on Minimal Positive Realizations of Continuous-Time Linear Systems
Author :
Sun, Yuwei ; Yu, Wensheng ; Wang, Long
Author_Institution :
Chinese Acad. of Sci., Beijing
Abstract :
We mainly discuss minimal positive realizations of nth-order rational transfer functions of continuous-time linear time-invariant single-input-single-output (SISO) systems and provide conditions for these systems to have positive realizations of the same order. The results obtained can aid in deciding the minimal compartment number of a compartmental system, finding a representation for a phase type (PH) distribution. One numerical example is employed to validate the results.
Keywords :
continuous time systems; discrete time systems; linear systems; transfer functions; SISO systems; compartmental system; continuous-time linear systems; minimal positive realizations; nth-order rational transfer functions; phase type distribution; time-invariant single-input-single-output systems; Control systems; Educational technology; Linear systems; Microwave filters; Nonlinear filters; Optical design; Optical filters; Signal design; Sun; Transfer functions;
Conference_Titel :
Networking, Sensing and Control, 2007 IEEE International Conference on
Conference_Location :
London
Print_ISBN :
1-4244-1076-2
Electronic_ISBN :
1-4244-1076-2
DOI :
10.1109/ICNSC.2007.372763
