Title :
Generalized necessary and sufficient conditions for strictly positive real matrices
Author :
Hakimi-M, Mojtaba ; Khaloozadeh, Hamid
Author_Institution :
Dept. of Electr. Eng., Islamic Azad Univ., Gonabad, Iran
Abstract :
In this paper a review on the necessary and sufficient conditions for strict positive realness property of rational matrices is presented. Then a necessary condition that imposed by high frequencies is demonstrated for SPR matrices by using Laurent and Taylor series. Furthermore, a generalized version of necessary and sufficient conditions for SPR matrices including improper one is developed. Finally, the results are illustrated by several examples.
Keywords :
control system synthesis; matrix algebra; series (mathematics); Laurent series; SPR matrices; Taylor series; necessary condition; rational matrix; strict positive realness property; strictly positive real matrices; sufficient condition; Control theory; Frequency domain analysis; MIMO; Network synthesis; State-space methods; Sufficient conditions; Taylor series; High Frequency Necessary Condition; Laurent and Taylor series; Necessary and Sufficient Conditions; Strictly Positive Real (SPR) Matrices;
Conference_Titel :
ICCAS-SICE, 2009
Conference_Location :
Fukuoka
Print_ISBN :
978-4-907764-34-0
Electronic_ISBN :
978-4-907764-33-3
