The Cayley Transform as a Time Discretization Scheme

DOI10.1080/01630560701493321zbMath1136.47054OpenAlexW2054944221MaRDI QIDQ5308785

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Publication date: 8 October 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560701493321

zbMATH Keywords

Crank-Nicolson schemeconservative systemCayley-Tustin transform

Mathematics Subject Classification ID

Control/observation systems in abstract spaces (93C25) Numerical solutions to equations with linear operators (65J10) Error bounds for numerical methods for ordinary differential equations (65L70) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Linear differential equations in abstract spaces (34G10) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

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Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system associated with nonlinear Schrödinger equation ⋮ Model predictive control of mineral column flotation process ⋮ The Cayley Transform as a Time Discretization Scheme ⋮ Discrete output regulator design for linear distributed parameter systems ⋮ A complete model of a finite-dimensional impedance-passive system ⋮ Approximate moving horizon estimation for switching conservative linear infinite-dimensional systems ⋮ Model predictive control for regular linear systems ⋮ Transformation matrix for time discretization based on Tustin's method ⋮ A variational integrators approach to second order modeling and identification of linear mechanical systems ⋮ Discrete-time model-based output regulation of fluid flow systems ⋮ Observer and filter design for linear transport-reaction systems ⋮ Approximations of the Mittag-Leffler operator function with exponential accuracy and their applications to solving evolutionary equations with fractional time derivative ⋮ Discrete-time output observers for boundary control systems

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