AN EXPONENTIAL STABILITY PROBLEM ON THE SMALL DELAY LINEAR SYSTEM

数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (4): 376-384.

AN EXPONENTIAL STABILITY PROBLEM ON THE SMALL DELAY LINEAR SYSTEM

宋国柱, 沈隽皓

Department of Mathematics, Nanjing University, Nanjing 210008, China

收稿日期:1995-10-09 出版日期:1997-12-25 发布日期:1997-12-25
基金资助:
Project supported by the National National Science Foundation of China.

AN EXPONENTIAL STABILITY PROBLEM ON THE SMALL DELAY LINEAR SYSTEM

Song Guozhu, Shen Junhao

Department of Mathematics, Nanjing University, Nanjing 210008, China

Received:1995-10-09 Online:1997-12-25 Published:1997-12-25
Supported by:
Project supported by the National National Science Foundation of China.

摘要/Abstract

摘要： In this paper, we define the mild solution of the delay system, and consider the eristence and uniqueness of the mild solution of the delay system. The relationship between the solution of linear system and the one of the delay system will be considered.And we also discuss the exponential stability equivalence between the solution of the linear system and the mild solution of the delay system.

关键词: Delay system, (C₀) semigroup, (1, A) semigroup, Exponential stability

Abstract: In this paper, we define the mild solution of the delay system, and consider the eristence and uniqueness of the mild solution of the delay system. The relationship between the solution of linear system and the one of the delay system will be considered.And we also discuss the exponential stability equivalence between the solution of the linear system and the mild solution of the delay system.

Key words: Delay system, (C₀) semigroup, (1,A) semigroup, Exponential stability

宋国柱, 沈隽皓. AN EXPONENTIAL STABILITY PROBLEM ON THE SMALL DELAY LINEAR SYSTEM[J]. 数学物理学报(英文版), 1997, 17(4): 376-384.

Song Guozhu, Shen Junhao. AN EXPONENTIAL STABILITY PROBLEM ON THE SMALL DELAY LINEAR SYSTEM[J]. Acta mathematica scientia,Series B, 1997, 17(4): 376-384.

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AN EXPONENTIAL STABILITY PROBLEM ON THE SMALL DELAY LINEAR SYSTEM

AN EXPONENTIAL STABILITY PROBLEM ON THE SMALL DELAY LINEAR SYSTEM

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