Stable real invariant semidefinite subspaces and stable factorizations of symmetric rational matrix functions

DOI10.1080/03081088708817820zbMath0648.15012OpenAlexW2047244978WikidataQ114100511 ScholiaQ114100511MaRDI QIDQ3792814

André C. M. Ran, Leiba Rodman

Publication date: 1987

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081088708817820

zbMATH Keywords

networkstabilityeigenvaluetransfer functioninner productinvariant subspacessemidefinite matrixLipschitz stabilityindefinite matrixrational matrix functionisotropic spaceminimal factorizationssymmetric factorizationssymmetric matrix pairsinertial subspaces

Mathematics Subject Classification ID

Factorization of matrices (15A23) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Positive matrices and their generalizations; cones of matrices (15B48) Quadratic and bilinear forms, inner products (15A63) Matrices over function rings in one or more variables (15A54)

Related Items

Stable invariant Lagrangian subspaces: Factorization of symmetric rational matrix functions and other applications, Direct complements of invariant Lagrangian subspaces and minimal factorizations of skew-symmetric rational matrix functions

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