String stability of infinite interconnected systems

Applied Mathematics and Mechanics (English Edition)

Volumn 21, Issue 7, 2000, Pages 791-796

  Jiye, Zhang ^a   Yiren, Yang ^a   Jing, Zeng ^a  

^a SOUTHWEST JIAOTONG UNIVERSITY   (China)

Author keywords

Infinite dimension; Interconnected system; String stability; Vector v function method

Indexed keywords

CONTROL SYSTEMS; LYAPUNOV METHODS;

INFINITE DIMENSION; INFINITE INTERCONNECTED SYSTEM; STRING STABILITY; VECTOR V FUNCTION METHOD;

STABILITY;

EID: 0034216981     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02428377     Document Type: Article

References (13)

1. [ l ] Siljak D D. Large-Scale Dynanuc Systems: Stability and Structure [M] . Amsterdam : NorthHolland, 1978.
2. [ 2 ] Da vison E J, Tripathi N. The optimal decentralized control of a large power system: Load and frequence control[j] , IEEE Trans Automat Control, 1918,23(2) :312-325.
3. [ 3 ] Ei-Sayed M L, Krishnaprasad P S. Homogeneous interconnected systems: A example[j] . IEEE Trans Automat Control, 1981,26(4) :894 - 901.
4. [ 4 ] Ozguner U, Barbieri E, Decentralized control of a class of distributed parameter systems[ A]. In: Proc IEEE Conf Decision Con/r[C] . Dec, 1985,932 - 935.
5. [ 5 3 Melzer S M, Kuo B C. Optimal régulation of systems described by a countably infinite number of objects[j] . Automatica, 1971,7:359 - 366.
6. [ 6 ] Levine J, Athans M. On the optimal error regulation of a string of moving vehicles [j] . IEEE Trans Automat Control, 1966,11 ( 11 ) : 355 - 361.
7. [ 7 ] Barbieri E. Stability analysis of a class of interconnected systems [j] . Journal of Dynamic System, Measurements, Control, 1993,115(3) :546 - 551.
8. [ 8 ] Caudill R E, Garrard W L. Vehicle follower longitudinal control for automated transit vehicles[ J] . Journal of Dynamic System, Measurements, Control, 1977,99 (4 ) : 241 - 248.
9. [ 9 ] Shu Zhongzhou. The stability of the comparison equations [j]. Chinese Annals of Mathematics, 1986,7(6) :676- 684. (in Chinese)
10. Shu Zongzhou. General theorems on the asymptotically stability of large scale systems [j]. System Science and Mathematical Sciences, 1990,10(1) :93 - 96. (in Chinese)
11. Zhang Jiye, Shu Zhongzhou. The vector V-functions method of the asymptotic stability for the large-scale systems [J]. Control Theory and Applications, 1996,13(3) :386 - 390. (in Chinese)
12. -[ 12 ] Chu K C. Decentralized control of high speed vehicle strings[ J] . Transportation Res, 1974,362 - 383.
13. Swaroop D, Hedrick J K. String stability of interconnected systems [j]. IEEE Trans Automat Control, 1996,41(3) :349 -357.