Integral Dynamical Models

Singularities, Signals and Control

By: Denis Sidorov

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eText | 5 September 2014

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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.Contents:

Introduction and Overview

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: