Stability in a linear delay system without instantaneous negative feedback

被引：21

作者：

So, JWH ^{[1
]}

Tang, XH

Zou, XF

机构：

[1] Univ Alberta, Dept Math Sci, Edmonton, AB T6G 2G1, Canada

[2] Cent S Univ, Dept Math, Changsha 410083, Hunan, Peoples R China

[3] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2002年 / 33卷 / 06期

关键词：

linear system; pure-delay type; stability; diagonal dominant; M-matrix;

D O I：

10.1137/S0036141001389263

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that every solution of a linear differential system with constant coefficients and time delays tends to zero if a certain matrix derived from the coefficient matrix is a nonsingular M-matrix and the diagonal delays satisfy the so-called 3/2 condition.

引用

页码：1297 / 1304

页数：8

共 16 条

[1]

Bapat RB., 1997, NONNEGATIVE MATRICES

[2]

CAMPBELL S, COMMUNICATION

[3]

Fiedler M., 1986, SPECIAL MATRICES THE

[4]

Gopalsamy K., 1998, CAN APPL MATH Q, V6, P17

[5]

Gyori I., 1992, WORLD SCI SER APPL A, V1, P269

[6]

Hale J. K., 1993, INTRO FUNCTIONAL DIF, DOI 10.1007/978-1-4612-4342-7

[7]

He X.Z., 1998, DIFFER INTEGRAL EQU, V11, P293

[8] Diagonal dominance and harmless off-diagonal delays [J].

Hofbauer, J ;

So, JWH .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (09) :2675-2682

[9]

Krisztin T., 1991, Funkcial. Ekvac, V34, P241

[10] GLOBAL STABILITY IN DELAY-DIFFERENTIAL SYSTEMS WITHOUT DOMINATING INSTANTANEOUS NEGATIVE FEEDBACKS [J].

KUANG, Y .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1995, 119 (02) :503-532

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