Invariant convex classes of states of continual relay systems
type: Item
instance of: scholarly article
title: Invariant convex classes of states of continual relay systems
zbMATH Open document ID: 0854.93028
published in: Automation and Remote Control
publication date: 1997-03-16T00:00:00Z
review text: A large class of admissible states is generally inconvenient for studying free and forced periodic oscillations in systems described by ordinary differential equations or evolution equations of mathematical physics. In this paper, taking narrower classes of states having additional special properties and using operator methods, it is possible to construct nonlinear completely continuous operators whose fixed points define the periodic solutions of evolution problems with hysteresis.
reviewed by: Ilie Valuşescu
Mathematics Subject Classification ID: 93B28
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93A99
zbMATH DE Number: 919493
zbMATH Keywords: periodic oscillations
zbMATH Keywords: operator methods
zbMATH Keywords: nonlinear
zbMATH Keywords: continuous operators
zbMATH Keywords: fixed points
zbMATH Keywords: periodic solutions
zbMATH Keywords: hysteresis
author: M. A. Krasnosel'skij
author: Dmitrii Rachinskii
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 919493