93Axx General
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- 2011 (1)
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Keywords
- Lur'e equation (1)
- Thompson canonical form (1)
- algebraic Riccati equation (1)
- dissipativity (1)
- para-Hermitian (1)
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- D (1)
The well-known Kalman-Yakubovich-Popov Lemma establishes an equivalence between dissipativity and the solvability of a linear matrix inequality. In this paper we strengthen this result by showing the equivalence of dissipativity to the solvability of a so-called Lur'e equation, which mainly is a linear matrix inequality with a rank minimizing condition. Finally, we apply the result to standard systems to obtain the well-known result about the solvability of the algebraic Riccati equation.