Multilinear Volterra equations of the first kind and some problems of control

DOI10.1134/S0005117908040012zbMath1156.93006OpenAlexW2030715438MaRDI QIDQ1002915

Anatoliĭ Solomonovich Apartsin

Publication date: 26 February 2009

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117908040012

zbMATH Keywords

dynamic system controlmultilinear Volterra equations

Mathematics Subject Classification ID

Controllability (93B05) System identification (93B30) Control/observation systems governed by functional-differential equations (93C23)

Related Items (8)

Numerical solution of multiple nonlinear Volterra integral equations ⋮ Studying the polynomial Volterra equation of the first kind for solution stability ⋮ Applications of nonlinear Volterra equations of the first kind to the control problem for heat exchange dynamics ⋮ Using the nonclassical Volterra equations of the first kind to model the developing systems ⋮ Polynomial Volterra integral equations of the first kind and the Lambert function ⋮ On some classes of linear Volterra integral equations ⋮ Lambert function and some problems of control in a Lancaster model ⋮ A class of systems of bilinear integral Volterra equations of the first kind of the second order

Uses Software

• LambertW

Cites Work

• On the Lambert \(w\) function
• Test signal amplitude optimization for identification of the Volterra kernels

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