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
fDate :
7/1/1998 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
