STABILITY OF THE MOTION OF LINEAR LARGE-SCALE OSCILLATING SYSTEMS

被引：0

作者：

Lila, D. M. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, 3 Nesterov St, UA-03057 Kiev, Ukraine

来源：

INTERNATIONAL APPLIED MECHANICS | 2011年 / 46卷 / 10期

关键词：

large-scale periodic system; linear system with periodic coefficients; block-diagonal matrix-valued function; time-periodic Lyapunov function; asymptotic stability conditions;

D O I：

暂无

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A method for setting up a time-periodic Lyapunov function for a linear system with periodic coefficients based on an auxiliary matrix-valued function is proposed and developed. New sufficient conditions for the stability of large-scale periodic systems decomposed into an even number of subsystems are formulated

引用

页码：1190 / 1204

页数：15

共 50 条

[1] Stability of the motion of linear large-scale oscillating systems
Lila D.M.
[J]. International Applied Mechanics, 2011, 46 (10) : 1190 - 1204
[2] METHOD OF DECOMPOSING LARGE-SCALE SYSTEMS IN A STUDY OF STABILITY OF MOTION
KRAPIVNYI, YN
MARTYNYUK, AA
[J]. SOVIET APPLIED MECHANICS, 1988, 24 (08): : 810 - 816
[3] PRACTICAL STABILITY OF LINEAR DELAY SYSTEMS AND LARGE-SCALE DELAY SYSTEMS
CHU, TG
ZHANG, ZD
SUN, ZQ
[J]. CHINESE SCIENCE BULLETIN, 1992, 37 (02): : 89 - 94
[4] PRACTICAL STABILITY OF LINEAR DELAY SYSTEMS AND LARGE-SCALE DELAY SYSTEMS
楚天广
张宗达
孙振绮
[J]. Science Bulletin, 1992, (02) : 89 - 94
[5] On the stability of motion of a large-scale system
Martynyuk, AA
Slyn'ko, VI
[J]. DIFFERENTIAL EQUATIONS, 2003, 39 (06) : 791 - 796
[6] On the Stability of Motion of a Large-Scale System
A. A. Martynyuk
V. I. Slyn'ko
[J]. Differential Equations, 2003, 39 : 791 - 796
[7] On the stability of discrete linear large-scale interval systems (2)
Han, Q.L.
[J]. Advances in Modelling & Simulation, 1991, 22 (04): : 1 - 8
[8] THE ASYMPTOTIC STABILITY OF THE LINEAR.DISCRETE LARGE-SCALE SYSTEMS
胡朝阳
[J]. Applied Mathematics and Mechanics(English Edition), 1993, (01) : 95 - 100
[9] REVISITING THE THEORY OF STABILITY OF STATIONARY LINEAR LARGE-SCALE SYSTEMS
Martynyuk, A. A.
Mullazhonov, R. V.
[J]. INTERNATIONAL APPLIED MECHANICS, 2012, 48 (01) : 101 - 111
[10] Stability　Criteria　for　Large－Scale　Linear　Systems　with　Structured　Uncertainties
Cao Dengqing Institute of Applied Mechanics
[J]. Railway Engineering Science, 1996, (02) : 46 - 53

← 1 2 3 4 5 →