DocumentCode
2036441
Title
An LMI condition for stability of implicit systems
Author
Masubuchi, Izumi ; Shimemura, Etsujiro
Author_Institution
Sch. of Inf. Sci., Adv. Inst. of Sci. & Technol., Ishikawa, Japan
Volume
1
fYear
1997
fDate
10-12 Dec 1997
Firstpage
779
Abstract
This paper considers stability of linear implicit systems. First, we define a stability of implicit systems Ex˙(t)=Ax(t), where E, A are possibly nonsquare, as with our stability condition the trajectory of the system converges to zero for any initial value admitted by the system. Next, we show an LMI that gives a necessary and sufficient condition for the stability
Keywords
matrix algebra; stability criteria; LMI; linear implicit systems; necessary and sufficient condition; stability condition; system trajectory convergence; Asymptotic stability; Differential equations; Information science; Input variables; Kernel; Linear matrix inequalities; Linear systems; Stability analysis; Sufficient conditions;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location
San Diego, CA
ISSN
0191-2216
Print_ISBN
0-7803-4187-2
Type
conf
DOI
10.1109/CDC.1997.650731
Filename
650731
Link To Document