STABILITY PROPERTIES OF DIFFERENTIAL SYSTEMS UNDER CONSTANTLY ACTING PERTURBATIONS

被引：0

作者：

Cantarelli, Giancarlo ^{[1
]}

Zappala, Giuseppe ^{[2
]}

机构：

[1] Univ Parma, Dipartimento Matemat, I-43124 Parma, Italy

[2] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年

关键词：

Stability; persistent disturbance; two measures; Liapunov functions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we find stability criteria for perturbed differential systems, in terms of two measures. Our main tool is a definition of total stability based on two classes of perturbations.

引用

页数：16

共 50 条

[1] STABILITY UNDER CONSTANTLY ACTING PERTURBATIONS
PUKHAREVA, NV
[J]. DIFFERENTIAL EQUATIONS, 1983, 19 (08) : 1034 - 1037
[2] ON STABILITY UNDER CONSTANTLY ACTING PERTURBATIONS
VOZLINSKII, VI
[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1980, 44 (03): : 288 - 294
[3] STABILITY UNDER CONSTANTLY ACTING PERTURBATIONS, AND AVERAGING IN AN UNBOUNDED INTERVAL IN SYSTEMS WITH IMPULSES
BURD, VS
[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1986, 50 (01): : 35 - 39
[4] On the stability of invariant sets of a system of autonomous differential equations under constantly acting perturbations
Ignat'ev A.O.
Konosevich B.I.
[J]. Ukrainian Mathematical Journal, 1999, 51 (9) : 1448 - 1453
[5] STABILITY OF LINEAR STOCHASTIC FUNCTIONAL-DIFFERENTIAL EQUATIONS UNDER CONSTANTLY ACTING PERTURBATIONS
KADIEV, RI
PONOSOV, AV
[J]. DIFFERENTIAL EQUATIONS, 1992, 28 (02) : 173 - 179
[6] STABILITY UNDER CONSTANTLY ACTING PERTURBATIONS, AND AVERAGING IN AN UNBOUNDED INTERVAL IN SYSTEMS WITH IMPULSES.
Burd, V.Sh.
[J]. 1600, (50):
[7] STABILITY OF MOVEMENTS OF CONSERVATIVE MECHANICAL SYSTEMS AT CONSTANTLY ACTING PERTURBATIONS
SAVCHENKO, AY
[J]. PRIKLADNAYA MATEMATIKA I MEKHANIKA, 1974, 38 (02): : 240 - 245
[8] ON STABILITY OF MOTION RELATIVE TO A PART OF VARIABLES UNDER CONSTANTLY ACTING PERTURBATIONS
OZIRANER, AS
[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1981, 45 (03): : 304 - 310
[9] STABILIZATION OF UNSTEADY MOTIONS OF A CONTROLLED SYSTEM UNDER CONSTANTLY ACTING PERTURBATIONS
MOLDABAE.SM
[J]. AUTOMATION AND REMOTE CONTROL, 1971, 32 (10) : 1686 - &
[10] INVESTIGATION OF STABILITY OF MOTION UNDER CONSTANTLY ACTING DISTURBANCES
WEISS, JR
YU, EY
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1975, 6 (01) : 43 - 48

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