DocumentCode
2192377
Title
Passivity approach to feedback connection stability for discrete-time descriptor systems
Author
Chen, Jian Liung ; Lee, Li
Author_Institution
Dept. of Electr. Eng., Nat. Sun Yat-Sen Univ., Kaohsiung, Taiwan
Volume
3
fYear
2001
fDate
2001
Firstpage
2865
Abstract
The linear matrix inequality (LMI)-based passivity approach to studying both input-output and internal stability problems for feedback connections of discrete-time linear descriptor systems with passive nonlinearities is developed. We show that, under a mild condition, a set of LMIs is equivalent to the strictly positive realness of the linear descriptor systems, and is strong enough to guarantee both the finite gain l2-stability and asymptotic hyperstability of the feedback connection
Keywords
asymptotic stability; discrete time systems; feedback; linear systems; matrix algebra; asymptotic hyperstability; discrete-time systems; feedback; input-output stability; internal stability; linear descriptor systems; linear matrix inequality; passive nonlinearities; passivity; Asymptotic stability; Councils; Feedback; Sufficient conditions;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location
Orlando, FL
Print_ISBN
0-7803-7061-9
Type
conf
DOI
10.1109/.2001.980710
Filename
980710
Link To Document