Canonical forms for bilinear systems

DOI10.1016/0167-6911(89)90032-7zbMath0684.93008OpenAlexW2081604815MaRDI QIDQ1825797

H. T. Dorissen

Publication date: 1989

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(89)90032-7

zbMATH Keywords

observabilityreachabilitybilinear systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Canonical structure (93B10) Observability (93B07)

Related Items (16)

Low rank methods for a class of generalized Lyapunov equations and related issues ⋮ On gramians and balanced truncation of discrete-time bilinear systems ⋮ \(H_2\) optimal filtering for bilinear systems ⋮ \(H_2\) order-reduction for bilinear systems based on Grassmann manifold ⋮ Combined real and imaginary parts method for solving generalized Lyapunov matrix equation ⋮ Matrix iteration algorithms for solving the generalized Lyapunov matrix equation ⋮ Geometrical and topological methods in optimal control theory ⋮ Positive-controllability, positive-near-controllability, and canonical forms of driftless discrete-time bilinear systems ⋮ H₂optimal model order reduction by two-sided technique on Grassmann manifold via the cross-gramian of bilinear systems ⋮ An unconstrained H ₂ model order reduction optimisation algorithm based on the Stiefel manifold for bilinear systems ⋮ Evaluating Generating Functions for Periodic Multiple Polylogarithms via Rational Chen–Fliess Series ⋮ Model order reduction for bilinear control systems with inhomogeneous initial conditions ⋮ A bilinear \(\mathcal{H}_2\) model order reduction approach to linear parameter-varying systems ⋮ A new approximation algorithm for solving generalized Lyapunov matrix equations ⋮ Time-interval model reduction of bilinear systems ⋮ On \(H_2\) model reduction of bilinear systems

Cites Work

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• On the controllability of a class of discrete bilinear systems
• On computing canonical forms for linear time-invariant systems
• On the transformation of linear multivariable systems to canonical forms
• Bilinear approximation of general non-linear dynamic systems with linear inputs
• Direct construction of minimal bilinear realizations from nonlinear input-output maps
• An efficient algorithm for calculation of the Luenberger canonical form

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