Dichotomy and absolute stability of nonlinear systems with periodically nonstationary linear part
type: Item
instance of: scholarly article
title: Dichotomy and absolute stability of nonlinear systems with periodically nonstationary linear part
zbMATH Open document ID: 0664.93066
DOI: 10.1016/0167-6911(88)90062-X
published in: Systems \& Control Letters
publication date: 1988-01-01T00:00:00Z
review text: The author considers nonlinear systems of the form \[ \dot x(t)=A(t)x(t)+B(t)\cdot \xi (t,x(\cdot)|_{| o,t|}) \] where \(A(t)\in {\mathbb{R}}^{n\times n}\), \(B(t)\in {\mathbb{R}}^{n\times m}\) are periodic matrix functions and x(\(\cdot)\) and \(\xi\) (\(\cdot)\) satisfy a certain integral quadratic constraint. For these systems necessary and sufficient conditions for absolute stability and dichotomy are presented.
Mathematics Subject Classification ID: 93D10
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 4087563
zbMATH Keywords: time-dependent
author: V. A. Yakubovich
reviewed by: Achim Ilchmann
MaRDI profile type: Publication
cites work: Q3335637
cites work: LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL
cites work: Q5521804
cites work: Q5590219
cites work: Q5537895
cites work: Q3748916
cites work: Q5672519
cites work: Q3794028
cites work: Q4062284
cites work: Q5593626
cites work: Q5728643
cites work: Q3813722
cites work: Stability Conditions for Systems with Monotone and Slope-Restricted Nonlinearities
description: scientific article; zbMATH DE number 4087563