1、 14 Jo urnal of N or thw est N or mal U niver sity ( N atural Science V ol. 33 a1 - a2 1 c 2 - a2 a1 0 0 - 1c 2 0 Q- B 0 - b 0 0 B 1 - 2c 0 Q- B 0 - b 正定時 , 系統(tǒng) ( 10 絕對穩(wěn)定 . 即由 a1 2 a 1 > 0; a 2 1 > a2 ; Q- B > - a2 a1 0 0 - b 0 0 B > 0, a1 c2 > 0; 2 4( a 2 1 - a2 - a2 1 c 2 - b 可推出 a 1

2、 > 0; a 1 > a2 ; Q< 2 2 2 a2 1b 2 2 . 4a 1b ( 1 + a1 - a 2 參 考 文 獻(xiàn) 1 Po po v V M , Halanay A . A bout stability o f nonlinear contr olled sy stems w ith delay . A utomat R emote con tr ol , 1962, 23 ( 7 : 849 851 2 So molines A . Stablity of L uriety pe functio nal equat ions. J . D if f .

3、E qs. 1977, 26 ( 2 : 191 199 3 阮炯 . L ur ie 泛函方程控制系統(tǒng)的絕對穩(wěn)定性 . 數(shù)學(xué)年刊 , 1983, 4 ( 1 : 47 55 4 張維 . 具有時滯的反饋系統(tǒng)的絕對穩(wěn)定性 . 華中師范大學(xué)學(xué)報 ( 自然科學(xué)版 , 1994, 28 ( 2 : 154 157 5 Ko lm ano nskii V B, N oso v. Stability of f unctional dif f er ential eq uations. L o ndon: A cademic pr ess, IN C, 1986 Absolut e st abilit y

4、 of Lurie cont r ol syst em s w it h t im e delay Nian Xiaohong ( Depart ment of M a thematics , T ianshui T eachers College 741001 T ianshui, Gansu P RC Abstract T he absolut e stability of direct cont rol systems and indirect contro l sy st em s w hose sy st em equat io ns are r espect ively õ x( t = A x ( t + Bx ( t - S + bf ( R( t , x( t = A x ( t + Bx ( t - S + bf ( R( t - S w er e studied, so me practical suff icient co nditions f or t he absolute st abil it y of t hese syst em s w er e given. key words tim e delay bilit y ( 責(zé)任編輯馬宇鴻