A NOTE ON THE GENERAL STABILIZATION OF DISCRETE FEEDBACK CONTROL FOR NON-AUTONOMOUS HYBRID NEUTRAL STOCHASTIC SYSTEMS WITH A DELAY  

作　　者：冯立超 张春艳 曹进德 武志辉 Lichao FENG;Chunyan ZHANG;Jinde CAO;Zhihui WU(College of Science,North China University of Science and Technology,Tangshan,063210,ChinaZhang;School of Mathematics,Southeast University,Nanjing,210096,China;Department of Mathematics,Harbin University of Science and Technology,Harbin,150080,China)

机构地区：[1]College of Science,North China University of Science and Technology,Tangshan,063210,China [2]School of Mathematics,Southeast University,Nanjing,210096,China [3]Department of Mathematics,Harbin University of Science and Technology,Harbin,150080,China

出　　处：《Acta Mathematica Scientia》2024年第3期1145-1164,共20页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(61833005);the Humanities and Social Science Fund of Ministry of Education of China(23YJAZH031);the Natural Science Foundation of Hebei Province of China(A2023209002,A2019209005);the Tangshan Science and Technology Bureau Program of Hebei Province of China(19130222g)。

摘　　要：Discrete feedback control was designed to stabilize an unstable hybrid neutral stochastic differential delay system(HNSDDS) under a highly nonlinear constraint in the H_∞ and exponential forms.Nevertheless,the existing work just adapted to autonomous cases,and the obtained results were mainly on exponential stabilization.In comparison with autonomous cases,non-autonomous systems are of great interest and represent an important challenge.Accordingly,discrete feedback control has here been adjusted with a time factor to stabilize an unstable non-autonomous HNSDDS,in which new Lyapunov-Krasovskii functionals and some novel technologies are adopted.It should be noted,in particular,that the stabilization can be achieved not only in the routine H_∞ and exponential forms,but also the polynomial form and even a general form.

关 键 词：hybrid neutral stochastic differential delay system discrete feedback control general stabilization polynomial stabilization 

分 类 号：O231[理学—运筹学与控制论]