A Case of $\mu$-Synthesis as a Quadratic Semidefinite Program

DOI10.1137/120873248zbMath1305.90326arXiv1303.5342OpenAlexW1967238944MaRDI QIDQ2848595

N. J. Young, Zinaida A. Lykova, Jim Agler

Publication date: 26 September 2013

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.5342

zbMATH Keywords

interpolationrobust stabilizationspectral radiusSchur classsymmetrized bidiscrealization theory\(H^{\infty}\) controlspectral Nevanlinna-Pick problemHilbert space model

Mathematics Subject Classification ID

Semidefinite programming (90C22) Adaptive or robust stabilization (93D21) Synthesis problems (93B50) Moment problems and interpolation problems in the complex plane (30E05) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (6)

Finite Blaschke products and the construction of rational \(\Gamma\)-inner functions ⋮ Rational penta-inner functions and the distinguished boundary of the pentablock ⋮ A dilation theoretic approach to approximation by inner functions ⋮ A rich structure related to the construction of analytic matrix functions ⋮ Canonical decomposition of operators associated with the symmetrized polydisc ⋮ A Schwarz lemma for the pentablock

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