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In the fourth chapter,we quoted a normal matrix,and proved a convergence theorem about nonhomogeneous Markov chains.
第四章通过引进一正规矩阵，证明了一个关于非齐次马氏链的收敛定理，是杨卫国等人的一个关于非齐次马氏链Cesaro平均收敛定理的推广。
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In the third chapter,we study the rate of convergence of nonhomogeneous Markov chains and the absolute average strong ergodic.
第三章研究一类非齐次马氏链的收敛速度及绝对平均强遍历性。
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A filtered transformation and a stochastic control Lyapunov design method are applied to Marino-Tomei systems driven by Wiener noises of unknown covariance. A parameter adaptive law and a control law are obtained to ensure that the closed-up systems are noise-to-state stable and the tracking error can converge to a small residual set around the origin in the sense of mean quartic value in average.
通过滤波变换，采用随机控制Lyapunov设计方法，对于受方差未知的Wiener噪声干扰的Marino-Tomei非线性系统，给出了参数自适应律和控制律，使得闭环系统成为噪声--状态稳定的，并且跟踪误差的4次均方值在时间平均意义下收敛到一个足够小的区域内。
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Firstly,based on the B.Bowermans result about the rate of convergence in Cesaro sense of certain nonhomogeneous Markov chains which the transition matrices converge,we are to study a certain nonhomogenous Markov chains which the transition matrices average converge to a period strongly ergodic stochastic matrice,and control the average convergenc rate of transition matrices,then we get the rate of convergence in Cesaro sense about the nonhomogeneous Markov chains by used the character of norm and the character of nonhomogeneous Markov chains.It is an extension of a B.
首先在B.Bowerman等人研究转移矩阵列收敛的一类非齐次马氏链，其Cesaro平均收敛的收敛速度基础上，研究转移矩阵列平均收敛到一周期强遍历随机矩阵的一类非齐次马氏链，通过控制转移矩阵列平均收敛的收敛速度，利用矩阵范数的性质、非齐次马氏链的相关性质等，得到该非齐次马氏链转移矩阵Cesaro平均收敛的收敛速度，是B。
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convergence in square mean：均方收敛
convergence in probability 依概率收敛 | convergence in square mean 均方收敛 | convergence in the p th mean p次平均收敛
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convergence in the p th mean p：次平均收敛
convergence in square mean 均方收敛 | convergence in the p th mean p次平均收敛 | convergence preserving matrix 收敛保存矩阵
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convergence preserving matrix：收敛保存矩阵
convergence in the p th mean p次平均收敛 | convergence preserving matrix 收敛保存矩阵 | convergence radius 收敛半径
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quadratic mean convergence：二次平均收敛
二次平均数 quadratic mean | 二次平均收敛 quadratic mean convergence | 二次规划 quadratic programming