Title :
Strictly positive real lemma for discrete-time descriptor systems
Author :
Lee, Li ; Chen, Jim Liung
Author_Institution :
Dept. of Electr. Eng., Nat. Sun Yat-Sen Univ., Kaohsiung, Taiwan
Abstract :
The strictly positive real (SPR) lemma for discrete-time descriptor systems is addressed. The relationship between strict positive realness and bounded realness (BR) of transfer matrices for such systems is developed. Based on this development, an LMI-based necessary and sufficient condition for a descriptor system being admissible and simultaneously SPR is established
Keywords :
discrete time systems; eigenvalues and eigenfunctions; transfer function matrices; LMI-based necessary and sufficient condition; bounded realness; discrete-time descriptor systems; strictly positive real lemma; transfer matrices; Councils; Eigenvalues and eigenfunctions; Mathematical model; Riccati equations; Sufficient conditions;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912277
