Prescribed-time stabilization and inverse optimal control of stochastic high-order nonlinear systems  

作　　者：Ran LIU Hui WANG Wuquan LI 

机构地区：[1]School of Mathematics and Statistics Science,Ludong University,Yantai 264025,China

出　　处：《Science China(Information Sciences)》2024年第2期140-152,共13页中国科学（信息科学）（英文版）

基　　金：This work was supported by National Natural Science Foundation of China(Grant No.62373179);Taishan Scholars Program of Shandong Province of China(Grant No.tstp20221133);Fundamental Research Projects of Science&Technology Innovation and Development Plan in Yantai City(Grant No.2023JCYJ051);Special Supporting Funding for Leading Talents Above Provincial Level in Yantai City.

摘　　要：This paper investigates the prescribed-time state-feedback stabilization and prescribed-time inverse optimality problems for stochastic high-order nonlinear systems.First,a time-varying controller is designed by developing scaled quartic Lyapunov functions,which can guarantee that the system has a unique strong solution almost surely on the prescribed interval for any system initial conditions and that the states and the control converge to the origin in a mean-square form within the prescribed time.Then,the controller is redesigned to address the problem of prescribed-time inverse optimal mean-square stabilization.Finally,a concrete example is provided to confirm the efficiency of the proposed design schemes.

关 键 词：stochastic high-order nonlinear systems prescribed-time stabilization the scaled design inverse optimality 

分 类 号：O232[理学—运筹学与控制论]