A solution to the common Lyapunov function problem for continuous-time systems

The common Lyapunov function problem studied here is to find a set of linear systems, which has a common quadratic Lyapunov function V(x)=x/sup T/Px. This problem comes from the stability analysis of diverse fields of control systems. We present new sets of linear continuous-time constant systems ha...

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Bibliographic Details
Published inProceedings of the 36th IEEE Conference on Decision and Control Vol. 4; pp. 3530 - 3531 vol.4
Main Authors Mori, Y., Mori, T., Kuroe, Y.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1997
Subjects
Control systems
Eigenvalues and eigenfunctions
Equations
Information science
Linear matrix inequalities
Linear systems
Lyapunov method
Page description languages
Stability analysis
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Summary:The common Lyapunov function problem studied here is to find a set of linear systems, which has a common quadratic Lyapunov function V(x)=x/sup T/Px. This problem comes from the stability analysis of diverse fields of control systems. We present new sets of linear continuous-time constant systems having a common quadratic Lyapunov function. The classes obtained consist of systems whose system matrices are transformed into complex triangular matrices by a common complex matrix, or are close to them. We also show that the obtained classes include those presented by Narendra et al. (1994) and Mori et al. (1996).
ISBN:0780341872
9780780341876
ISSN:0191-2216
DOI:10.1109/CDC.1997.652397