Title :
Comments on "An improved Razumikhin-type theorem and its applications" [with reply]
Author :
Xuerong Mao ; Bugong Xu
Author_Institution :
Dept. of Stat. & Modeling Sci., Strathclyde Univ., Glasgow, UK
fDate :
3/1/1997 12:00:00 AM
Abstract :
Xu and Liu (see ibid., vol.39, no.4, p.839-41, 1994) tried to improve the well-known Razumikhin theorem on the stability of differential functional equations. The commenter states that, the proof of their main result contains an error, so the results may not be correct. In reply Bugong Xu gives a corrected result.
Keywords :
asymptotic stability; differential equations; functional equations; Razumikhin-type theorem; differential functional equations; stability; Automatic control; Control systems; Degradation; Differential equations; Electric variables control; Optimal control; Robotics and automation; Robust control; Sliding mode control; Stability;
Journal_Title :
Automatic Control, IEEE Transactions on