Lyapunov functions that specify necessary and sufficient conditions of absolute stability of nonlinear nonstationary control systems. I
type: Item
instance of: scholarly article
title: Lyapunov functions that specify necessary and sufficient conditions of absolute stability of nonlinear nonstationary control systems. I
zbMATH Open document ID: 0607.93039
published in: Automation and Remote Control
publication date: 1986-01-01T00:00:00Z
review text: The authors find the general form of Lyapunov functions that specifies the necessary and sufficient conditions of absolute stability of systems with nonstationary nonlinearities satisfying sector constraints. The Lyapunov functions constructed are convex functions, and in general they are not continuously differentiable. Criteria of asymptotic stability of linear stationary systems and of differential inclusions are obtained.
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 3983029
zbMATH Keywords: time-dependent
author: Alexander Molchanov
author: Eh. S. Pyatnitskij
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3983029