STRONG CONVERGENCE OF MONOTONE HYBRID METHOD FOR FIXED POINT ITERATION PROCESSES*

K. Nakajo and W. Takahashi in 2003 proved the strong convergence theorems for nonex-pansive mappings, nonexpansive semigroups, and proximal point algorithm for zero point of monotone operators in Hilbert spaces by using the hybrid method in mathematical programming. The purpose of this paper is to modify the hybrid iteration method of K. Nakajo and W. Takahashi through the monotone hybrid method, and to prove strong convergence theorems. The convergence rate of iteration process of the monotone hybrid method is faster than that of the iteration process of the hybrid method of K. Nakajo and W. Takahashi. In the proofs in this article, Cauchy sequence method is used to avoid the use of the demiclosedness principle and Opial＇s condition.     

Controllability and Observability of Stochastic Singular Systems in Banach Spaces

Journal of Systems Science and Complexity - Exact (approximate) controllability and exact (approximate) observability of stochastic singular systems in Banach spaces are discussed. Firstly, the...     

ON THE CONVERGENCE ANALYSIS OF ALGORITHMS FOR GENERALIZED SET-VALUEDVARIATIONAL INCLUSIONS IN BANACH SPACES

In this paper, we are devoted to the convergence analysis of algorithms forgeneralized set-valued variational inclusions in Banach spaces. Our results improve, extend,and develop the earlier and recent corresponding results.     

Three-step iterations for nonexpansive mappings and inverse-strongly monotone mappings

This paper introduces a three-step iteration for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an inverse-strongly monotone mapping by viscosity approximation methods in a Hilbert space. The authors show that the iterative sequence converges strongly to a common element of the two sets, which solves some variational inequality. Subsequently, the authors consider the problem of finding a common fixed point of a nonexpansive mapping and a strictly pseudo-contractive mapping and the problem of finding a common element of the set of fixed points of a nonexpansive mapping and the set of zeros of an inverse-strongly monotone mapping. The results obtained in this paper extend and improve the corresponding results announced by Nakajo, Takahashi, and Toyoda. This research is supported by the National Natural Science Foundation of China under Grant No. 10771050.     

基于有效状态空间的多状态网络可靠性评估

鉴于应用d-最小割(路)集计算多状态网络可靠度精确值的算法中基于最小割(路)集求解d-最小割(路)集及容斥原理的复杂性,提出一种不需要d-最小割(路)集计算网络可靠度精确值的算法.该算法按一定规则分割状态空间,在此基础上生成有效状态空间,通过迭代计算直接获得可靠度精确值;同时通过删除边的无效状态、对最小割集进行分组,有效减小计算量;通过有序树执行该算法简单、易操作.实例表明算法的计算结果是正确的,且计算量较小,证明了其正确性和有效性,但同时也表明算法所需存储空间较大.     

ANTI-PERIODIC SOLUTIONS FOR FIRST AND SECOND ORDER NONLINEAR EVOLUTION EQUATIONS IN BANACH SPACES

In this paper, a new existence theorem of anti-periodic solutions for a class ofstrongly nonlinear evolution equations in Banach spaces is presented. The equations con-tain nonlinear monotone operators and a nonmonotone perturbation. Moreover, throughan appropriate transformation, the existence of anti-periodic solutions for a class of second-order nonlinear evolution equations is verified. Our abstract results are illustrated by anexample from quasi-linear partial differential equations with time anti-periodic conditionsand an example from quasi-linear anti-periodic hyperbolic differential equations.     

离散时变系统迭代域最优学习控制

针对线性时变离散系统，首次提出并研究了迭代域内线性二次型最优迭代学习控制问题。所得到的迭代学习控制方法在迭代域内是保性能最优的，其学习率不需主观选取，学习速度可通过改变性能矩阵参数进行调节。     

多目标主从向量集值优化Benson真有效解的最优性条件

借助 Aubin的 Contingent切导数建立了可微多目标主从向量集值优化弱 Benson真有效元的Fritz-John型最优性条件.     

A general iterative method of fixed points for equilibrium problems and optimization problems

The purpose of this paper is to present a general iterative scheme as below:

一个基于细胞自动机的多秘密共享方案

基于一维细胞自动机和中国剩余定理提出了一个新的多秘密共享方案.该方案将多个秘密打包成一个大秘密,将其作为细胞自动机的一个初始配置;通过对细胞自动机进行反向迭代来重构所共享的秘密.分析表明,该方案实现简单,在计算上是安全的,并且是一个完善的方案.     

飞行器耦合系统的一种逐步逼近优化设计方法

阐述了飞行器耦合系统优化设计所面临的计算问题,包括计算量大,计算精度低等.分析指出了产生这些问题的原因在于计算中存在两重嵌套的循环.在上述分析基础上,提出逐步逼近的优化设计方法,在该方法中构造了一个非耦合的近似模型,并针对该近似模型进行优化计算,这样做将嵌套的两个循环过程转化为序列进行的两个循环过程.同时为了在保证精度的前提下提高计算效率,构建了一种近似模型逐步逼近真实模型的迭代格式.仿真算例表明了本方法的有效性.     

Ping-pong effects study in PIC turbo joint detection for TDD CDMA

A kind of turbo joint detection scheme based on parallel interference cancellation (PIC) is studied; then, the eigenvalues of iteration matrix is deeply analyzed for studying the ping-pong effects in PIC JD and the corresponding compensation approach is introduced. Finally, the proposed algorithm is validated through computer simulation in TDD CDMA uplink transmission. The result shows that the ping-pong effects are almost avoided completely in the presence of the compensation scheme, and system performance is greatly improved.     

基于信誉与共识的分布式智能入侵防御方案

当认知用户中存在恶意用户,特别是恶意用户间存在协作行为时,将给协作频谱感知带来极大危害。为有效抵御恶意行为,提出将信誉模型与一致性融合相结合的分布式智能入侵防御方案。每一次迭代过程,需要依据奖惩机制对认知用户的信誉值进行奖励或惩罚,进而将信誉值与一致性融合中的融合因子相结合,并共同作用于一致性融合过程。该方案下,智能的恶意用户将最终选择放弃恶意攻击。仿真结果表明,所提方案能有效抵御多个恶意用户(有协作/无协作)的攻击。与现有的3种防御机制相比,该方案具有更好的检测与防御性能。     

The Theory of Composite Characteristics Under Sampling Scheme Without Discontinuing Inspection

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两类非数值优化方法在飞机方案设计中的比较研究

将遗传算法（GA）和模拟退火（SA）应用于飞机方案优化设计，给出了算法实现过程。对同一算例进行了优化实验，对二者进行了对比分析。实验结果表明SA达到收敛所需迭代次数及方案分析次数远较GA为多，但其优化结果要好于GA。这两类非数值优化方法应用于实际的飞机方案优化问题，必须首先解决由于所需方案分析次数太多而导致的计算效率低下问题。相对而言GA较SA在实际飞机方案设计中有更好的应用前景。     

基于归纳法的同构资源目标分配算法

针对传统目标分配算法不能求解大规模资源目标分配的组合规划难题,提出了一种基于数学归纳法的资源目标分配算法。建立了资源相同条件下的目标分配数学模型。通过逐步增加资源和资源预分配的方法,不断从每次迭代的预分配方案中选择最优的分配方案,极大地降低了分配问题的搜索解空间和计算复杂度。以无人机协同区域搜索为典型应用案例,分别设计了对比实验和性能实验。仿真实验结果表明,该算法可以保证得到目标分配问题的全局最优解,并且在大规模资源分配中具有很好的实时性。     

基于软信道估计的JIED水声通信方法

为提高水声通信系统的数据传输速率和可靠性,提出一种新的基于软信道估计的联合迭代均衡译码(joint iterative equalization and decoding, JIED)水声通信方法。该方法利用软输入软输出(soft in soft out, SISO)译码器反馈的外似然比计算符号软估计信息,并应用于稀疏自适应信道估计器的抽头系数更新过程。经过译码器和均衡器之间多次迭代交换软信息联合处理接收信号,信道估计精度与均衡效果显著提高。水声通信实验结果表明在通信距离1.8 km、2 kHz有效带宽内,新方法在第2次迭代后即可实现2 kb/s的无误码传输,可以有效提高系统可靠性和传输速率。     

新型六旋翼飞行器的轨迹跟踪控制

针对新型六旋翼飞行器,提出一种轨迹跟踪控制策略。首先,给出了六旋翼飞行器的运动学模型和动力学模型,同时给出存在复合干扰情况下的运动学模型,并提出了一种新的复合干扰估计算法,该算法是由干扰估计误差驱动而非传统的状态跟踪或者预测误差。随后,设计了飞行器动力学和运动学模型的backstepping控制器,在动力学模型的控制器设计中将指令滤波和线性跟踪微分器用于其中,以提高系统对控制指令的响应速度。最后,通过仿真验证实验,验证了所提干扰估计算法和轨迹跟踪策略的正确性和有效性。     

一种新的SAR图像斑点噪声自适应抑制方法

在合成孔径雷达(synthetic aperture radar, SAR)图像斑点噪声抑制处理中,为有效保护图像细节,提出欧拉弹性能量各向异性扩散去噪模型。该模型将各向异性扩散模型转化为最小能量变分模型,结合欧拉弹性能量模型的边界保护和增强能力,在抑制噪声的同时能更有效地保护和增强细节信息。同时为了提高计算效率,提出自适应变步长去噪算法。仿真和真实SAR图像的实验结果表明,该算法不仅在抑制噪声的同时能够很好地保护图像细节,而且有效减少了计算时间、提高了效率。     

近场光存储光学飞行头特性仿真与优化设计

提出近场光存储光学头飞行问题的综合仿真方案,采用控制体积法求解表面形貌复杂的空气轴承气浮力分布,采用准牛顿迭代法求解光学头稳定飞行姿态;并以此为基础,分析空气轴承表面形貌参数对光学头稳定飞行姿态的影响规律,对其进行优化设计;所设计的光学头飞高为73.87nm,且飞行姿态稳定,满足近场光存储信号读写的要求.