Input identification to a class of nonlinear input-output causal systems

DOI10.1016/j.camwa.2006.01.011zbMath1136.65129OpenAlexW2025742441MaRDI QIDQ2475933

Fabrizio Perri, Luciano Pandolfi

Publication date: 11 March 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.01.011

zbMATH Keywords

nonlinear systemsinverse problemsmonotone operatorsdeconvolutionnonlinear Volterra integral equationsinput identification

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Other nonlinear integral equations (45G10) System identification (93B30) Input-output approaches in control theory (93D25) Numerical methods for inverse problems for integral equations (65R32) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Inverse problems for integral equations (45Q05)

Related Items (3)

The methods of dynamical reconstruction of an input in a system of ordinary differential equations ⋮ Multiscale Lavrentiev method for systems of Volterra equations of the first kind ⋮ On-Line Reconstruction of Inputs to Distributed Parameter Systems with Accessible Sources

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear integral equations and systems of Hammerstein type
• Regularization, uniqueness and existence of solutions of Volterra equations of the first kind
• Resolvent estimates for Abel integral operators and the regularization of associated first kind integral equations
• A mollifier method for linear operator equations of the first kind
• On Approximate Computation of the Values of the Normal Derivative of Solutions to Linear Partial Differential Equations of Second Order with Application to Abel's Integral Equation
• An Approximation Theorem for a Hammerstein-Type Equation and Applications
• On Lavrentiev Regularization for Ill-Posed Problems in Hilbert Scales
• Scale-type-estimates for a generalized method of Lavrent'ev regularization
• A Singular Perturbation Approach to a Recursive Deconvolution Problem
• A recursive algorithm for the approximate solution of Volterra integral equations of the first kind of convolution type
• Lavrent'ev regularization of ill-posed problems containing nonlinear near-to-monotone operators with application to autoconvolution equation
• A Recursive Deconvolution Approach to Disturbance Reduction

This page was built for publication: Input identification to a class of nonlinear input-output causal systems