A Shift Operator Approach to Bilinear System Theory

DOI10.1137/0318049zbMath0517.93013OpenAlexW1983913602MaRDI QIDQ3666684

Arthur E. Frazho

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1137/0318049

zbMATH Keywords

bilinear systemsshift operator

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Minimal systems representations (93B20) Observability (93B07) Transformations (93B17) Realizations from input-output data (93B15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (7)

Geometric control theory ⋮ Finite input/output representative of a class of Volterra polynomial systems ⋮ Geometrical and topological methods in optimal control theory ⋮ Models for noncommuting operators ⋮ Bilinear state space realization for polynomial stochastic systems ⋮ Abstract bilinear systems: The forward shift approach ⋮ Complements to models for noncommuting operators

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