Nonlinear Hilbert adjoints: properties and applications to Hankel singular value analysis

DOI10.1016/S0362-546X(01)00867-7zbMath1025.47043OpenAlexW2095835057MaRDI QIDQ1849009

W. Steven Gray, Jacquelien M. A. Scherpen

Publication date: 28 November 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00867-7

zbMATH Keywords

spectrumHilbert spacesadjoint operatornonlinear operatorsadjoint of derivativesnonlinear Hankel operatorssecond adjoint

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Continuous and differentiable maps in nonlinear functional analysis (46T20)

Related Items (6)

Data-driven model reduction by moment matching for linear and nonlinear systems ⋮ Interconnection-based model order reduction -- a survey ⋮ Non-causal Fliess operators and their shuffle algebra ⋮ Hankel singular value functions from Schmidt pairs for nonlinear input-output systems ⋮ Goal-oriented error estimation for parameter-dependent nonlinear problems ⋮ Hamiltonian realizations of nonlinear adjoint operators

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