Minimal representations of semiseparable kernels and systems with separable boundary conditions

DOI10.1016/0022-247X(87)90007-2zbMath0672.34008OpenAlexW2027698637MaRDI QIDQ1120038

Israel Gohberg, Marinus A. Kaashoek

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(87)90007-2

zbMATH Keywords

Applicationssemiseparable kernelsseparable representationinput- output operators

Mathematics Subject Classification ID

Minimal systems representations (93B20) Linear ordinary differential equations and systems (34A30) Control/observation systems governed by ordinary differential equations (93C15) Linear boundary value problems for ordinary differential equations (34B05) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items

Transfer functions and operator theory, Factorizations of semi-separable operators along continuous chains of projections, Construction and classification of minimal representations of semi- separable kernels, On minimalization of time varying linear systems with well-posed boundary conditions, Constructing autonomous boundary-value linear systems from acausal input- output functions, Unicity of minimal rank completions for tri-diagonal partial block matrices, Characterization of integral operators with semi-separable kernels with symmetries, Minimal rank completions for block matrices, Unique minimal rank extensions of triangular operators

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