Some Issues in Common Quadratic Lyapunov Function Problem for a Set of Stable Matrices in Companion Form
| Authors: | Mori Takehiro, Kyoto Institute of Technology, Japan
Kokame Hideki, Osaka Prefecture University, Japan
Mori Yoshihiro, Kyoto Institute of Technology, Japan |
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| Topic: | 2.5 Robust Control |
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| Session: | Robustness Analysis I |
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| Keywords: | common quadratic Lyapunov function, companion form, Schur stability, Stein inequality, Lyapunov inequality, diagonal solution |
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Abstract
Two issues are addressed in common quadratic Lyapunov function(CQLF) problem for a set of stable matrices in companion form. It is first shown that an existence condition of a CQLF for a set of Schur stable companion matrices and that for Hurwitz stable counterparts are equivalent so far as the bilineartransformation connects them. The second issue is a sufficient condition for a diagonal-type CQLF to exist for a set of Schur companion matrices.
