Integral dynamical models : singularities, signals and control

著者

    • Sidorov, Denis

書誌事項

Integral dynamical models : singularities, signals and control

Denis Sidorov

(World Scientific series on nonlinear science / editor, Leon O. Chua, Series A, Monographs and treatises ; v. 87)

World Scientific, c2015

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

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.

目次

  • Volterra Models of Evolving Dynamical Systems: Volterra Equations of the 1st Kind with Piecewise Continuous Kernels
  • Volterra Matrix Equations
  • Volterra Operator Equations of the 1st Kind with Piecewise Continuous Kernels
  • Generalized Solutions of Volterra Equations with Discountinuous Kernels and Sources
  • Nonlinear Models, Singularities and Control: Nonlinear Hammerstain Equations
  • Nonlinear Volterra Operator Equations with Non-Invertable Operator
  • Nonlinear Differential Equations Near Branching Points
  • Convex Majorants Method in the Theory of Nonlinear Volterra Equations
  • Generalized Solutions of Nonlinear Volterra Equations of 1st Kind
  • Impulse Control of Volterra Models
  • Integral Models Applications: Volterra Models Applications
  • Suppression of Moire Patterns for Video Restoration
  • Integral Models in Electric Power Engineering

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