Integral dynamical models: singularities, signals and control

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This volume provides a broad introduction to nonlinear integral dynamical models and new classes of evolutionary integral equations. It may be used as an advanced textbook by postgraduate students to study integral dynamical models and their applications in machine learning, electrical and electronic engineering, operations research and image analysis.

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Title Statements

Full title :Integral dynamical models : singularities, signals and control / Denis Sidorov, Russian Academy of Sciences, Russia.

Summary

Edition Statements

Publication Date:©2015

Publication Statements

Publisher(s):World Scientific
Place of Publication:New Jersey
Language:eng
Publication Date:©2015

The Physical Object

Description:1 online resource (xiii, 243 pages) : : illustrations.

Edition Identifiers

ISBN:9789814619196, 9814619191, 9781680158557, 1680158554
oclc:ocn893673221
LC Classification:QA431
Dewey Decimal:515/.45

Volterra models of evolving dynamical systems: Volterra equations of the first kind with piecewise continuous kernels; Volterra matrix equation of the first kind with piecewise continuous kernels; Volterra operator equations of the first kind with piecewise continuous kernels; Generalized solutions to the Volterra equations with piecewise continuous kernels and sources -- Nonlinear models, singularities and control: Nonlinear Hammerstein integral equations; Nonlinear Volterra operator equations with non-invertible operator; Nonlinear differential equations near branching points; Convex majorants method in the theory of nonlinear Volterra equations; Generalized solutions to nonlinear Volterra equations of the first kind; On impulse control of nonlinear dynamical systems based on the Volterra series -- Integral models applications: The Volterra models applications; Suppression of Moiré patterns for video archive restoration; Integral models applications in electric power engineering.