Integral dynamical models : singularities, signals and control /
Denis Sidorov, Russian Academy of Sciences, Russia.
- xiii, 243 pages : illustrations ; 23 cm.
- World scientific series on nonlinear science. Series A ; volume 87 .
Includes bibliographical references (pages 227-228) and index.
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 Moirpatterns for video archive restoration; Integral models applications in electric power engineering.