期刊名称：Lecture Notes in Engineering and Computer Science
印刷版ISSN：2078-0958
电子版ISSN：2078-0966
出版年度：2018
卷号：2233&2234
页码：583-588
出版社：Newswood and International Association of Engineers
摘要：The problem of optimal guaranteed cost control
for exponential stability of nonlinear system with mixed timevarying
delays via feedback control is considered. The mixed
time-varying delays consisting of both discrete and distributed
delays are considered without assuming the differentiability
of the time-varying delays. Based on an improved LyapunovKrasovskii
functional with triple integral terms and employing
Newton-Leibniz formula, Jensen’s inequality and reciprocal
convex combination technique, new delay-dependent sufficient
conditions for the existence of guaranteed cost feedback control
for the system are given in terms of linear matrix inequalities
(LMIs), which can be checked numerically by using the effective
LMI toolbox in MATLAB. Finally, a numerical example is given
to illustrate the effectiveness and improve over some existing
results in the literature.
