Approximation by bernstein systems

DOI10.1007/BF01768480zbMath0396.93025OpenAlexW2049847513MaRDI QIDQ4180224

William A. Porter

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1007/bf01768480

zbMATH Keywords

ApproximationBernstein SystemsCausal Continuous FunctionLinear Differential SystemMemoryless Polynomic State to Output Map

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Canonical structure (93B10) Approximation by polynomials (41A10) Controllability, observability, and system structure (93B99)

Related Items (3)

Joint interpolation and approximation of causal systems ⋮ Randomized system trajectories ⋮ Causal polynomial approximation for input-output maps on Hilbert spaces

Cites Work

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• Causality structure and the Weierstrass theorem
• Volterra series and geometric control theory
• The common causality structure of multilinear maps and their multipower forms
• A Weierstrass theorem for real, separable Hilbert spaces
• Resolution space, operators and systems
• Data interpolation, causality structure, and system identification
• Causal Realization from Input-Output Pairs
• Causal parameter identification †
• A Weierstrass theorem for normed linear spaces
• Measurement of the Kernels of a Non-linear System of Finite Order†
• Nonlinear Differential Equations and Analytic System Theory

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