An LMI condition for stability of implicit systems

This paper considers stability of linear implicit systems. First, we define a stability of implicit systems Ex/spl dot/(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 s...

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Bibliographic Details
Main Authors: Masubuchi, I., Shimemura, E.
Format: Conference Proceeding
Language:English
Subjects:
Asymptotic stability
Differential equations
Information science
Input variables
Kernel
Linear matrix inequalities
Linear systems
Stability analysis
Sufficient conditions
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Summary:This paper considers stability of linear implicit systems. First, we define a stability of implicit systems Ex/spl dot/(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.
ISSN:0191-2216
DOI:10.1109/CDC.1997.650731