A survey of some classical and modern developments of stability theory
type: Item
instance of: scholarly article
title: A survey of some classical and modern developments of stability theory
zbMATH Open document ID: 0956.34040
DOI: 10.1016/S0362-546X(00)85027-0
author: A. A. Martynyuk
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2001-02-26T00:00:00Z
review text: The aim of the present survey is to give an account of some results obtained in nonclassical theories of stability over the last 25 years (technical and practical stability). It is considered the method of integral inequalities, comparison technique, stability theory of large-scale systems, limiting equations and stability theory, and Lyapunov's matrix functions method.
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 1472230
zbMATH Keywords: nonclassical stability
zbMATH Keywords: Lyapunov stability
zbMATH Keywords: integral inequality
zbMATH Keywords: comparison principle
zbMATH Keywords: limiting equation
zbMATH Keywords: Lyapunov matrix functions
MaRDI profile type: Publication
cites work: Q4141027
cites work: Q5594821
cites work: Q5778266
cites work: Q5822220
cites work: Vector Lyapunov Functions
cites work: A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
cites work: Q3372875
cites work: Q3220933
cites work: Q3776007
cites work: Q5627537
cites work: Stability analysis of large-scale systems with stable and unstable subsystems
cites work: Large scale systems stability under structural and singular perturbations
cites work: Q4163814
cites work: Some considerations to the fundamental theory of infinite delay equations
cites work: Q4872464
cites work: Method of decomposing large-scale systems in a study of stability of motion
cites work: Q3254515
cites work: Q5569338
cites work: Q3995013
cites work: Q4001818
cites work: Q4303554
cites work: Q5724960
cites work: Q5683740
cites work: Q4069088
cites work: Q3326931
cites work: Q4872456
cites work: Q4208002
cites work: Q3913074
cites work: Q3998847
cites work: $L_2 $-Stability and -Instability of Large-Scale Systems Described by Integrodifferential Equations
cites work: On the stability of motion in linear approximation
cites work: Inequalities for differential and integral equations
cites work: Q5676011
cites work: Q5584121
cites work: Investigation of stability of large-scale systems on the basis of Lyapunov's matrix functions
cites work: Q4160745
cites work: Q3998785
cites work: Q5557126
cites work: Q5665539
cites work: Q5801485
full work available at URL: s0362-546x(00)85027-0
OpenAlex ID: W1977653944
description: scientific article; zbMATH DE number 1472230