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非线性随机动力学与控制研究进展及展望
引用本文:朱位秋. 非线性随机动力学与控制研究进展及展望[J]. 世界科技研究与发展, 2005, 27(1): 1-4
作者姓名:朱位秋
作者单位:浙江大学力学系,杭州,310027
摘    要:随机动力学系用概率与统计方法研究自然界、工程及社会中各种随机动力学过程与现象。经一个世纪的发展,非线性随机动力学与控制已有相当的理论方法,主要是扩散过程理论方法。本文概述该理论方法,特别是作者提出与发展的非线性随机动力学与控制的Hamilton理论体系框架。最后建议各领域随机动力学与控制研究者进行跨学科的合作研究。

关 键 词:随机动力学  随机稳定性  随机分岔  首次穿越  随机控制  非线性系统

Recent Developments in Nonlinear Stochastic Dynamics and Control
ZHU Weiqiu. Recent Developments in Nonlinear Stochastic Dynamics and Control[J]. World Sci-tech R & D, 2005, 27(1): 1-4
Authors:ZHU Weiqiu
Abstract:Stochastic dynamics studies various stochastic dynamical processes and phenomena in nature, engineering and society using probability and statistics. After the developments in the last century, nonlinear stochastic dynamics has plenty of theories and methods, among which the theory and method of diffusion processes are dominant. The present paper outlines this theory and method, especially the Hamiltonian theoretical framework of nonlinear stochastic dynamics and control proposed and developed by the present author. Finally, the collaboration of researchers in various fields of stochastic dynamics and control is suggested.
Keywords:stochastic dynamics   stochastic stability   stochastic bifurcation   first-passage time   stochastic control   nonlinear system  
本文献已被 CNKI 维普 万方数据 等数据库收录!
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