New results in global stabilization for stochastic nonlinear systems

作     者：Tao BIAN Zhong-Ping JIANG 

作者机构：Control and Networks Lab Department of Electrical and Computer Engineering Tandon School of Engineering New York University 5 Metrotech Center Brooklyn NY 11201 U.S.A. 

出 版 物：《Control Theory and Technology》 (控制理论与技术（英文版）)

年 卷 期：2016年第14卷第1期

页      面：57-67页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 0835[工学-软件工程] 0802[工学-机械工程] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 080201[工学-机械制造及其自动化] 

基　　金：This work was partially supported by the National Science Foundation (Nos. ECCS-1230040  ECCS-1501044) 

主　　题：Stochastic nonlinear systems stochastic input-to-output stability stabilization gain assignment small-gain 

摘      要：This paper presents new results on the robust global stabilization and the gain assignment problems for stochastic nonlinear systems. Three stochastic nonlinear control design schemes are developed. Furthermore, a new stochastic gain assignment method is developed for a class of uncertain interconnected stochastic nonlinear systems. This method can be combined with the nonlinear small-gain theorem to design partial-state feedback controllers for stochastic nonlinear systems. Two numerical examples are given to illustrate the effectiveness of the proposed methodology.