DocumentCode
1403223
Title
On an estimate of the decay rate for applications of Razumikhin-type theorems
Author
Hou, Chunhai ; Qian, Jixin
Author_Institution
Dept.of Chem. Eng., Hong Kong Univ. of Sci. & Technol., Kowloon, Hong Kong
Volume
43
Issue
7
fYear
1998
fDate
7/1/1998 12:00:00 AM
Firstpage
958
Lastpage
960
Abstract
A decay estimate is established for solutions of a class of Razumikhin-type functional differential equations (FDEs). The FDEs investigated here are general enough to satisfy the requirement of applications of Razumikhin-type theorems. With the help of an application of our result, it is illustrated that the method presented in this paper is adaptable to quantitative stability analysis of the retarded functional differential equations encountered in engineering
Keywords
asymptotic stability; delay systems; differential equations; state estimation; Razumikhin-type theorems; asymptotic stability; decay rate estimation; functional differential equations; Chemical technology; Delay estimation; Design engineering; Differential equations; Estimation theory; Industrial control; Space technology; Stability analysis; System analysis and design; Systems engineering and theory;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.701098
Filename
701098
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