Title of article
Tensor conditions for the existence of a common solution to the Lyapunov equation Original Research Article
Author/Authors
Thomas J. Laffey، نويسنده , , Helena ?migoc، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
14
From page
672
To page
685
Abstract
Necessary and sufficient conditions for the existence of a common solution to the Lyapunov equation for two stable complex matrices are derived. These conditions are applied to the cases when a common weak solution to the Lyapunov equation exists. Conditions for the existence of a common solution to the Lyapunov equation for two complex 2 × 2 and two complex 3 × 3 matrices are derived.
Keywords
Lyapunov equation , Common quadratic Lyapunov function , Switched linear systems , Stability theory
Journal title
Linear Algebra and its Applications
Serial Year
2007
Journal title
Linear Algebra and its Applications
Record number
825446
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