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The so-call'exportable equation'is found by nonlinear geometry method for general non-autonomous chaotic control systems which coefficient matrix of control term is functional matrix contained system variables. The homeomorphic transformation of coordinate is found under specified conditions, the coefficient matrix of control term can be transformed as constant matrix, the synchronization among chaotic systems can be realized by common control methods.

针对一般的非自治混沌控制系统中控制项系数矩阵是含有系统变量的函数矩阵,利用非线性几何线性化的方法找出所谓的"输出方程",在一定的条件下求出坐标的同胚变换,将控制项系数矩阵变换为常矩阵,然后利用常规的控制方法进行混沌系统之间的同步化。

The so-called AT-algebras are inductive limits of finite direct sums of matrices over the extension algeras of circle algebra by K, where K is the C~*— algebra of all compact operators on a separable infinite dimensional Hilbert space.

若V_*与V_*同构,且保持单位元等价类;T与T仿射同胚,且同构映射与同胚映射相容,则存在E与E′的同构导出上述同构和同胚,所谓AT-代数即为圆代数通过κ的本质酉扩张的矩阵代数的有限直和的归纳极限,这里κ为可分的无限维复Hilbert空间上的紧算子全体,不变量中的V*为三变元Abel半群,T为迹态空间,[1]为单位元所在的Murray-von Neumann等价类,r_E为连接映射。

In Lipschitz condition of the signal transmission functions, the uniqueness of the equilibrium for MAM is proved respectively by using M matrix properties and using homeomorphous map.

在信号传递函数满足李普希兹条件下,分别利用M矩阵性质及同胚映射证明了平衡点的唯一性。

This paper studies the exponential stability of cellular neural networks with time- varying delay by making use of the homoeomorphism theory, the idea of vector Lyapunov function, M- matrix theory and inequality - technique, offering the grounds for uniqueness of equilibrium point existence and the global exponential stability and estimating the exponential convergence rate index.

利用同胚映射理论、向量Lyapunov函数思想、M-矩阵理论和不等式技术,研究了具有变时滞的细胞神经网络模型的全局指数稳定性,给出了判定平衡点的存在唯一性以及全局指数稳定性的一个判据,并且估计了收敛速度指标。

The transformed systems need not to have special forms and there are no restrictions on the types of nonlinearity contained in systems. The only requirement is that the two matrice defined in the paper should be a controllable pair at every point.

它不要求线性化微分同胚变换后系统具有特定形式,对系统所含非线性也不作限制,它只要求变换后系统的两个特定函数矩阵在点点均为能控对。

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在对危险的南部地区访问时,他斥责什叶派民兵领导人对中央集权的挑衅行为。

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世纪伟人邓小平的富民思想,是邓小平经济理论体系中的重要组成部分,是我国经济建设根本任务的一个重要方面。