The method of Lyapunov functionals in stability analysis of functional-differential equations

被引：2

作者：

Andreev, AS

Pavlikov, SV

机构：

[1] Ulyanovsk State University,

来源：

MATHEMATICAL NOTES | 2000年 / 68卷 / 3-4期

关键词：

stability analysis; nonautonomous functional-differential equation of neurtral type; Lyapunov functional; limit equation; limit functional;

D O I：

10.1007/BF02674550

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop the method of Lyapunov functionals in the stability analysis of linear nonautonomous functional-differential equations of neutral type. The approach is based on the construction of Limit equations and limit Lyapunov functionals.

引用

页码：281 / 288

页数：8

共 50 条

[1] The method of Lyapunov functionals in stability analysis of functional-differential equations
A. S. Andreev
S. V. Pavlikov
Mathematical Notes, 2000, 68 : 281 - 288
[2] The Lyapunov functionals method in stability problems for functional differential equations
A. S. Andreev
Automation and Remote Control, 2009, 70
[3] The Lyapunov functionals method in stability problems for functional differential equations
Andreev, A. S.
AUTOMATION AND REMOTE CONTROL, 2009, 70 (09) : 1438 - 1486
[4] Development of the Lyapunov Function Method in the Stability Problem for Functional-Differential Equations
Peregudova, O. A.
DIFFERENTIAL EQUATIONS, 2008, 44 (12) : 1701 - 1710
[5] Development of the Lyapunov function method in the stability problem for functional-differential equations
O. A. Peregudova
Differential Equations, 2008, 44 : 1701 - 1710
[6] ASYMPTOTIC STABILITY IN FUNCTIONAL-DIFFERENTIAL EQUATIONS BY LIAPUNOV FUNCTIONALS
ZHANG, B
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 347 (04) : 1375 - 1382
[7] On the asymptotic stability for functional differential equations by Lyapunov functionals
Hatvani, L
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 40 (1-8) : 251 - 263
[8] On the asymptotic stability for functional differential equations by Lyapunov functionals
Hatvani, L
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (07) : 4333 - 4343
[9] On the stability of functional-differential inclusions with the use of invariantly differentiable lyapunov functionals
A. V. Surkov
Differential Equations, 2007, 43 : 1079 - 1087
[10] On the stability of functional-differential inclusions with the use of invariantly differentiable lyapunov functionals
Surkov, A. V.
DIFFERENTIAL EQUATIONS, 2007, 43 (08) : 1079 - 1087

← 1 2 3 4 5 →