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(J, J′)-lossless factorization based on conjugation
Authors:Hidenori Kimura
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.
Keywords:J-lossless matrix   conjugation   Riccati equation   H   control   (J, J  -lossless factorization
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