Canonical matrix factorisation and polynomial Riccati equations

DOI10.1016/S0947-3580(97)70061-XzbMath0880.93010MaRDI QIDQ1365648

Andrey E. Barabanov

Publication date: 10 February 1998

Published in: European Journal of Control (Search for Journal in Brave)

zbMATH Keywords

polynomial matrixpolynomial Riccati equation\(\mu\)-factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) (H^infty)-control (93B36) Algebraic methods (93B25)

Related Items (5)

Open-loop Nash equilibrium in polynomial differential games via state-dependent Riccati equation ⋮ Invariance and polynomial design of strategies in the linear-quadratic game ⋮ Theory of optimal control in the works of V.A. Yakubovich ⋮ Kalman-Popov-Yakubovich Lemma and the \(S\)-procedure: a historical essay ⋮ Equations on graphs in \(\mathcal H^{\infty}\)-optimal control problems

Cites Work

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• A course in \(H_{\infty}\) control theory
• Optimization by frequency-uniform criteria (\(H\)-theory)
• On polynomial matrix spectral factorization by symmetric extraction
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• Minimax frequency domain performance and robustness optimization of linear feedback systems
• Factorization of selfadjoint matrix polynomials with constant signature
• Polynomial J-spectral factorization

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