(J, J′)-lossless factorization based on conjugation |
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Authors: | Hidenori Kimura |
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Abstract: | This paper is concerned with a derivation of the state-space form of the (J, J′)-lossless factorization which contains both the inner-outer factorization and the spectral factorization of positive matrices as special cases. Also, the (J, J′)-lossless factorization gives a unified framework of H∞ control theory. We use the method of conjugation which makes the derivation much simpler than the previous literature, most of which used the technique of (J, J′)-spectral factorization. A necessary and sufficient condition is represented in terms of two Riccati equations one of which is degenerated. |
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Keywords: | J-lossless matrix conjugation Riccati equation H∞ control (J, J′ -lossless factorization |
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