Convergence behavior of the Schur recursion in the Krein space for the J-spectral factorization
Copyright policy )Convergence behavior of the Schur recursion in the Krein space for the J-spectral factorization
Summary: We present a ``Krein-space version'' of the Schur recursion for the \(J\)-spectral factorization arising in \(H^\infty\)-related problems. The most notable difference of the proposed Schur recursion from the ordinary one is that the proposed recursion can handle temporary changes of the inertia during the process. We show that the Schur recursion in the Krein space converges to a \(J\)-spectral factor exponentially under a suitable condition.
- Korea Advanced Institute of Science and Technology Korea (Republic of)
- Korea Advanced Institute of Science and Technology Korea (Republic of)
- Korean Association Of Science and Technology Studies Korea (Republic of)
Linear operators on spaces with an indefinite metric, Riccati equation, \(J\)-spectral factorization, \(H^\infty\)-control, Krein space, \(H^\infty\) problem, Schur recursion, Applications of operator theory in systems, signals, circuits, and control theory
Linear operators on spaces with an indefinite metric, Riccati equation, \(J\)-spectral factorization, \(H^\infty\)-control, Krein space, \(H^\infty\) problem, Schur recursion, Applications of operator theory in systems, signals, circuits, and control theory
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