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Furthermore, a changeable update rule was introduced to accelerate the convergence speed, a forget factor and a predefined error bound were used to enhance the robustness of the algorithm.

同时还提出可变学习增益的方法来加快算法收敛速度;应用遗忘因子和学习律误差容限控制的方法来提高学习算法的鲁棒性。

This paper considers existence of extreme solutions to first-order differential equations with a parameter by the method of lower and upper solutions with monotone iterations,and monotonic sequence is uniformly converged to the extreme value solution of nonlinear equation after being constructed.

文章利用上下解方法和单调迭代技术讨论了含有一个参数的微分问题极值解的存在性,通过构造单调序列使这个单调序列一致收敛于非线性方程的极值解。

The existence and the uniqueness of the difference solution are proved. Based on the priori estimates and an inequality about norms, the stability and the convergence of difference solutions with the second-order are proved in the energy norm.

利用矩阵理论证明了差分解的存在惟一性,并利用一个重要的不等式在先验估计的基础上,运用能量估计的方法证明了该格式按无穷范数以二阶精度收敛到真实解。

In this thesis, a new detection method, Network Intrusion Detection based on Unsupervised Clustering and Chaos Simulated Annealing algorithm, is proposed. NIDCCSA utilizes the ergodic property of chaos to complete the perturbation of states. Therefore, simulated annealing algorithm based on chaos is more likely to converge to the globally optimal solution and enhance the detection rate.

论文中提出使用聚类和混沌模拟退火算法进行网络入侵检测——NIDCCSA算法,NIDCCSA算法充分利用了混沌的遍历性特点进行状态的变换,这样的混沌模拟退火算法更加可能收敛到全局最优解,从而提高检测率。

Therefore,the Low Pass Filter is introduced on base of common sliding mode control.The control law can guarantee fast convergence of trajectory tracking error as well as robustness for external disturbances and parameter uncertainties.

在一般滑模控制的基础上引入低通滤波器,则保证了轨迹跟踪误差的快速收敛,同时使系统具有很强的鲁棒性。

For general point process model,we pose the mild condition under whichthe maximum likelihood estimateof the parameter possesses the strongconsistency and the convergence rate of iterated logarithm type.

首先对一般的点过程模型我们研究了随着观测时间的增加,参数极大似然估计的渐进性质。我们提出了相当广泛又便于验证的一组条件,足以保证极大似然估计具有强相合性及重对数型收敛速度。

Simulation results demonstrate that this control scheme can lead to quick convergence of the queue length to the desired value and maintain small oscillation. This scheme has better robustness to disturbance than the traditional PID controller.

仿真结果表明,使用该控制方案能使缓冲器队列长度快速收敛到目标值,并维持小的队列振荡,与传统的PID控制器相比具有更好的稳定性和鲁棒性。

By using the cone and partail ordering theory, and mixed monotone operator theory in nonlinear funtional analysis, the existence and uniqueness of the common fixed point for two non-monotone binary operator are discussed in partial ordering Banach space.

利用锥与半序理论和混合单调算子理论,讨论了半序Banach空间中两个非单调二元算子的公共不动点的存在性和唯一性,并给出了迭代序列收敛于公共不动点的误差枯计,所得结果是某些已知结果本质改进和推广。

Then it compares these operators' performance through its convergence quality,and it demonstrates that this over-flow dealing method is effective through a group of experiments,the mutation operators used in single-objective optimization have the respectable distribution to polynomial mutation and achieve better convergence quality.

通过一组实验表明这种越界处理方法是非常有效的,单目标优化中的这些变异算子具有与多项式变异算子相当的分布性,同时取得了更好的收敛性能。

In Chapter 3 Firstly, the exponential stability in mean square and almost sure exponential stability for neutral stochstic neural networks with time-varying delay can be discussed by using the linear matrix inequality and the semimartingale convergence theorem; And our sufficient conditions are less conserative; Secondly, by utilizing the fixed point theorem, some sufficient and necessary conditions ensuring the asymp- totic stability in mean square for neutral stochastic neural networks with time-varying delays can be given.

第三章首先,利用线性矩阵不等式方法和半鞅收敛定理,考虑了一类具变时滞中立型随机神经网络的二阶矩指数稳定性和几乎必然指数稳定性,所得到的条件保守性要好;其次,采用不动点方法,给出了具变时滞中立型随机神经网络的二阶矩渐近稳定性的充要条件。

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