Algebraic modelling of linear systems by means of Walsh functions

DOI10.1080/13873950500067064zbMath1140.93346OpenAlexW1966811288MaRDI QIDQ3424291

Ulrich Konigorski

Publication date: 15 February 2007

Published in: Mathematical and Computer Modelling of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10.1080/13873950500067064

zbMATH Keywords

Laplace transformWalsh functionslinear time-variant systemssystem identification and approximation

Mathematics Subject Classification ID

System identification (93B30) Linear systems in control theory (93C05) Algebraic methods (93B25)

Cites Work

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• Transfer matrices, realization, and control of continuous-time linear time-varying systems via polynomial fractional representations
• Walsh operational matrices for fractional calculus and their application to distributed systems
• Subspace identification of multivariable linear parameter-varying systems
• System identification with generalized orthonormal basis functions
• Rational wavelet decompositions of transfer functions in Hardy-Sobolev classes
• System identification using Laguerre models
• A state-space approach to Walsh series solution of linear systems
• Kronecker products and matrix calculus in system theory
• A kernel-based Adaline for function approximation
• Subspace identification of bilinear systems subject to white inputs
• The fundamental role of general orthonormal bases in system identification
• Improved algorithms for parameter identification in continuous systems via Walsh functions

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