STRING STABILITY OF INFINITE INTERCONNECTED SYSTEMS

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (7): 791-796.

STRING STABILITY OF INFINITE INTERCONNECTED SYSTEMS

张继业¹, 杨翊仁², 曾京¹

1. National Traction Power Laboratory, Southwest Jiaotong University, Chengdu 610031, P. R. China;
2. Institute of Applied Mechanics, Southwest Jiaotong University, Chengdu 610031, P. R. China

收稿日期:1998-07-24 修回日期:2000-04-16 出版日期:2000-07-18 发布日期:2000-07-18
基金资助:
the National Natural Science Foundation of China(19672010)

STRING STABILITY OF INFINITE INTERCONNECTED SYSTEMS

Zhang Jiye¹, Yang Yiren², Zeng Jing ¹

1. National Traction Power Laboratory, Southwest Jiaotong University, Chengdu 610031, P. R. China;
2. Institute of Applied Mechanics, Southwest Jiaotong University, Chengdu 610031, P. R. China

Received:1998-07-24 Revised:2000-04-16 Online:2000-07-18 Published:2000-07-18
Supported by:
the National Natural Science Foundation of China(19672010)

摘要/Abstract

摘要： The notion of string stability of a countably infinite interconnection of a class of nonlinear system was introduced. Intuitively, string stability implies uniform boundedness of all the states of the interconnected system for all time if the initial states of the interconnected system are uniformly bounded. Vector V-function method used to judge the stability is generalized for infinite interconnected system and sufficient conditions which guarantee the asymptotic string stability of a class of interconnected system are given. The stability regions obtained here are much larger than those in previous papers. The method given here overcomes some difficulties to deal with stability of infinite nonlinear interconnected system in previous papers.

Abstract: The notion of string stability of a countably infinite interconnection of a class of nonlinear system was introduced. Intuitively, string stability implies uniform boundedness of all the states of the interconnected system for all time if the initial states of the interconnected system are uniformly bounded. Vector V-function method used to judge the stability is generalized for infinite interconnected system and sufficient conditions which guarantee the asymptotic string stability of a class of interconnected system are given. The stability regions obtained here are much larger than those in previous papers. The method given here overcomes some difficulties to deal with stability of infinite nonlinear interconnected system in previous papers.

中图分类号:

O317
TP13

张继业;杨翊仁;曾京. STRING STABILITY OF INFINITE INTERCONNECTED SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(7): 791-796.

Zhang Jiye;Yang Yiren;Zeng Jing . STRING STABILITY OF INFINITE INTERCONNECTED SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(7): 791-796.

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STRING STABILITY OF INFINITE INTERCONNECTED SYSTEMS

STRING STABILITY OF INFINITE INTERCONNECTED SYSTEMS

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