Abstract bilinear systems: The forward shift approach

DOI10.1007/BF01752391zbMath0475.93045MaRDI QIDQ3931125

Arthur E. Frazho

Publication date: 1981

Published in: Mathematical Systems Theory (Search for Journal in Brave)

zbMATH Keywords

observabilityreachabilityminimalitystate spacediscrete time bilinear systemsforward shift realizationtransform representation for a Volterra series

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Minimal systems representations (93B20) Observability (93B07) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Cites Work

• Algebraic realization theory of bilinear discrete-time input-output maps
• Finite and infinite dimensional bilinear realizations
• On the realization problem for stationary, homogeneous, discrete-time systems
• Discrete time systems, operator models, and scattering theory
• Linear operator theory in engineering and science.
• Volterra-Wiener functionals for the analysis of nonlinear systems
• A Shift Operator Approach to Bilinear System Theory
• $H^2 $-Functions and Infinite-Dimensional Realization Theory
• On realization of linear systems and applications to some questions of stability
• On a multidimensional<tex>S</tex>-transform and the realization problem for homogeneous nonlinear systems
• Functional expansions for the response of nonlinear differential systems
• Bilinear and 2-power input-output maps: Finite dimensional realizations and the role of functional series
• On transfer function representations for homogeneous nonlinear systems
• Bilinear systems: An appealing class of "nearly linear" systems in theory and applications
• Direct construction of minimal bilinear realizations from nonlinear input-output maps
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