\(L_{2p}\)-stability and absolute stability of nonlinear systems
type: Item
instance of: scholarly article
title: \(L_{2p}\)-stability and absolute stability of nonlinear systems
zbMATH Open document ID: 0544.93054
author: A. I. Barkin
published in: Automation and Remote Control
publication date: 1983-01-01T00:00:00Z
review text: The author gives an \(L_{2p}\)-stability condition for \(x'=Ax+b\Phi(x_ 1,t)+cg(t),\quad x\in R^ n,\) with a scalar function \(\Phi\), \(0\leq \Phi(x_ 1,t)x_ 1\leq kx^ 2_ 1,\) by considering the stability of the comparison system, that is, the system which governs the \(\binom{n+p- 1}{p}\)-vector function consisting of the p-forms of \(x=(x_ 1,x_ 2,...,x_ n).\)
Mathematics Subject Classification ID: 93D10
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 34D99
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 3867184
zbMATH Keywords: stability condition
zbMATH Keywords: comparison system
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3867184