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Accession number:       
20132016331928
        Title:        Near optimal strategy for nonlinear stochastic differential games based on the technique of statistical linearization
        Authors:         Zhang, Ping1 Email author zhpbest2010@163.com; Fang, Yang-Wang2 Email author ywfang2008@sohu.com; Hui, Xiao-Bin2 Email author blue-seaing@126.com; Liu, Xin-Ai1 Email author lxa2005@163.com; Li, Liang1 Email author 85654809@163.com
        Author affiliation:        1 Unit 95889, PLA, Jiuquan 735018, China
                2 College of Aeronautics and Astronautics Engineering, Air Force Engineering University, Xi'an 710038, China
        Corresponding author:         Zhang, P. (zhpbest2010@163.com)
        Source title:        Zidonghua Xuebao/Acta Automatica Sinica
        Abbreviated source title:        Zidonghua Xuebao Acta Auto. Sin.
        Volume:        39
        Issue:        4
        Issue date:        April 2013
        Publication year:        2013
        Pages:        390-399
        Language:        Chinese
        ISSN:         02544156
        CODEN:         ZIXUDZ
        Document type:        Journal article (JA)
        Publisher:        Science Press, 18,Shuangqing Street,Haidian, Beijing, 100085, China
        Abstract:        A novel solution for a class of nonlinear zero-sum stochastic differential games is given based on the technique of statistical linearization. The near optimal feedback strategies are derived by solving the statistical state dependent Riccati equation, which is significantly different from the Riccati equation of linear systems. The case of strategy with bound limitation is also investigated. An example is given to illustrate the application of the theory. Copyright © 2013 Acta Automatica Sinica.
        Number of references:        16
        Main heading:         Optimal systems
        Controlled terms:         Game theory  -  Linear systems  -  Riccati equations  -  Stochastic systems
        Uncontrolled terms:         Differential games  -  Near-optimal  -  Non-linear stochastic systems  -  State-dependent Riccati equation  -  Statistical linearization  -  Stochastic differential game  -  Zero-sum stochastic differential games
        Classification code:         921 Mathematics -  921.2 Calculus -  922.1 Probability Theory -  961 Systems Science
        DOI:        10.3724/SP.J.1004.2013.00390
        Database:        Compendex
                Compilation and indexing terms, © 2014 Elsevier Inc.
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