Algebraic realization theory of bilinear discrete-time input-output maps

DOI10.1016/0016-0032(76)90137-XzbMath0332.93021OpenAlexW2041475100MaRDI QIDQ1228577

Giovanni Marchesini, Ettore Fornasini

Publication date: 1976

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(76)90137-x

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Canonical structure (93B10) Realizations from input-output data (93B15)

Related Items (6)

Foundations of system theory: The Hankel matrix ⋮ On some connections between bilinear input/output maps and 2D systems ⋮ On the relationship between Bilinear maps and linear two-dimensional maps ⋮ Realizability of multilinear input/output maps ⋮ Realizations and transfer functions of discrete-time non-linear homogeneous systems ⋮ Abstract bilinear systems: The forward shift approach

Cites Work

• Matrices de Hankel
• On the evaluation of the response of nonlinear systems by functional series expansion of forced and free responses
• Linear Automaton Transformations
• On the definition of a family of automata
• Direct construction of minimal bilinear realizations from nonlinear input-output maps
• Realization and Structure Theory of Bilinear Dynamical Systems
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