Title of article
On quadratic Lyapunov functions
Author/Authors
Huang، Jie نويسنده , , Cheng، Daizhan نويسنده , , Guo، Lei نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
6
From page
885
To page
890
Abstract
A topological structure, as a subset of [0,2(pi))/sup L/*R/sub +//sup n-1/, is proposed for the set of quadratic Lyapunov functions (QLFs) of a given stable linear system. A necessary and sufficient condition for the existence of a common QLF of a finite set of stable matrices is obtained as the positivity of a certain integral. The structure and the conditions are considerably simplified for planar systems. It is also proved that a set of block upper triangular matrices share a common QLF, if each set of diagonal blocks share a common QLF.
Keywords
heat transfer , Analytical and numerical techniques , natural convection
Journal title
IEEE Transactions on Automatic Control
Serial Year
2003
Journal title
IEEE Transactions on Automatic Control
Record number
97544
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