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
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;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.650731
