Algorithm of J-spectral factorization of polynomial matrices

DOI10.1016/S0005-1098(97)00133-7zbMath0904.93013MaRDI QIDQ1388111

Fikret A. Aliev, Vladimir B. Larin

Publication date: 3 August 1998

Published in: Automatica (Search for Journal in Brave)

zbMATH Keywords

robust controlcanonical factorizationmatrix algebraic Riccati equationWiener-Hopf approach\(H\)-optimal control\(J\)-factorization of polynomial matricesnon-regular polynomial matrix

Mathematics Subject Classification ID

Related Items (11)

Unnamed Item ⋮ The extended \(J\)-spectral factorization for descriptor systems ⋮ Polynomial \(J\)-spectral factorization in minimal state space. ⋮ Necessary and sufficient conditions for existence of \(J\)-spectral factorization for para-Hermitian rational matrix functions ⋮ About the Newton iteration for spectral factorization ⋮ Numerical \(J\)-spectral factorization of general para-Hermitian matrices ⋮ Discrete \(J-\)spectral factorization. ⋮ Discrete \(J\)-spectral factorization of possibly singular polynomial matrices ⋮ Algorithm for solving algebraic Riccati equation which has singular Hamiltonian matrix ⋮ Spectral factorization of non-symmetric polynomial matrices ⋮ \(J\) factorizations of a general discrete-time system

Cites Work

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• Positive and negative solutions of dual Riccati equations by matrix sign function iteration
• Generalized Lyapunov equation and factorization of matrix polynomials
• Robust control and \({\mathcal H}_{\infty}\)-optimization -- tutorial paper
• On polynomial matrix spectral factorization by symmetric extraction
• AJ-Spectral Factorization Approach to $\mathcal{H}_\infty $
• Wiener-Hopf design of servo-regulator-type multivariable control systems including feedforward compensation
• Polynomial J-spectral factorization

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