Identification of Stochastically Perturbed Autonomous Systems from Temporal Sequences of Probability Density Functions

Nie Xiaokai; Luo Jingjing; Coca Daniel; Birkin Mark; Chen Jing

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Identification of Stochastically Perturbed Autonomous Systems from Temporal Sequences of Probability Density Functions

机译：从概率密度函数的时间序列识别随机扰动的自治系统

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摘要

The paper introduces a method for reconstructing one-dimensional iterated maps that are driven by an external control input and subjected to an additive stochastic perturbation, from sequences of probability density functions that are generated by the stochastic dynamical systems and observed experimentally.

机译：本文介绍了一种重构由外部控制输入驱动的一维迭代映射的方法，并从由随机动力系统产生的概率密度函数的序列和通过实验观察的概率密度函数的序列进行加性随机扰动。

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来源
《Journal of nonlinear science》 |2018年第4期|共21页
作者
Nie Xiaokai; Luo Jingjing; Coca Daniel; Birkin Mark; Chen Jing;
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作者单位

Univ Leeds Leeds Inst Data Analyt Leeds LS2 9JT W Yorkshire England;

Fudan Univ Acad Engn &

Technol Inst AI &

Robot Shanghai 200433 Peoples R China;

Univ Sheffield Dept Automat Control &

Syst Engn Sheffield S1 3JD S Yorkshire England;

Univ Leeds Leeds Inst Data Analyt Leeds LS2 9JT W Yorkshire England;

Univ Warwick Warwick Med Sch Coventry CV4 7AL W Midlands England;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Nonlinear systems; Probability density functions; Frobenius-Perron operator; Stochastic dynamical systems;

机译：非线性系统;概率密度函数;Frobenius-erron运算符;随机动力系统;

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专利

1. Identification of Stochastically Perturbed Autonomous Systems from Temporal Sequences of Probability Density Functions [J] . Nie Xiaokai, Luo Jingjing, Coca Daniel, Journal of nonlinear science . 2018,第4期

机译：从概率密度函数的时间序列识别随机扰动的自治系统
2. Calculation of high-dimensional probability density functions of stochastically excited nonlinear mechanical systems [J] . Martens W., Von Wagner U., Mehrmann V. Nonlinear dynamics . 2012,第3期

机译：随机激发非线性机械系统的高维概率密度函数的计算
3. Shape control of conditional output probability density functions for linear stochastic systems with random parameters [J] . Aiping Wang, Yongji Wang, Hong Wang International journal of systems,control and communications . 2011,第1期

机译：具有随机参数的线性随机系统的条件输出概率密度函数的形状控制
4. DETECT AND DIAGNOSE UNEXPECTED CHANGES IN THE OUTPUT PROBABILITY DENSITY FUNCTIONS FOR DYNAMIC STOCHASTIC SYSTEMS: AN IDENTIFICATION BASED APPROACH [C] . H. Wang, Q. H. Wu Triennial world congress of IFAC . 1999

机译：动态随机系统的输出概率密度函数中的检测和诊断意外变化：一种基于识别的方法
5. THE H-FUNCTION AND PROBABILITY DENSITY FUNCTIONS OF CERTAIN ALGEBRAIC COMBINATIONS OF INDEPENDENT RANDOM VARIABLES WITH H-FUNCTION PROBABILITY DISTRIBUTIONS. [D] . COOK, IVY DEWEY, JR. 1981

机译：具有H函数概率分布的独立随机变量的某些代数组合的H函数和概率密度函数。
6. Identification of Stochastically Perturbed Autonomous Systems from Temporal Sequences of Probability Density Functions [O] . Xiaokai Nie, Jingjing Luo, Daniel Coca, -1

机译：从概率密度函数的时间序列确定随机扰动的自治系统
7. Identification of Stochastically Perturbed Autonomous Systems from Temporal Sequences of Probability Density Functions [O] . Xiaokai Nie, Jingjing Luo, Daniel Coca, 2018

机译：从概率密度函数的时间序列识别随机扰动的自主系统
8. DIGITAL GENERATION OF RANDOM SEQUENCES WITH SPECIFIED AUTOCORRELATION AND PROBABILITY DENSITY FUNCTIONS. [R] . broste, nels a. 1970

机译：具有指定自相关和概率密度函数的随机序列的数字生成。

Identification of Stochastically Perturbed Autonomous Systems from Temporal Sequences of Probability Density Functions

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