不适定热传导反问题的两种求解方法及其比较

本文以不适定热传导反问题为对象，采用两种方法进行了求解。一种方法基于对具有测量误差的边界条件进行适当的微扰，使之化为适定问题；另一种方法基于Ｔｉｋｈｏｎｏｖ的正则平滑思想，对反问题中的输入数据进行平滑处理，以便使函数及其一阶导数均实现一致逼近。通过计算与求解表明，两种方法均能得到具有一定精度与稳定性的结果，其中以正则化法更为理想     

关于约束方差控制器的评估问题的研究

本文研究当系统的性能指标表现为系统输入及输出的方差约束时一类随机控制器的评价问题，给出了系统反馈输入及输出的辨识算法，该算法可用来评价反馈控制器能否使反馈系统满足既定的方差约束，以便在对实际系统实施控制之前及时调整控制器，从而达到设计目的。     

Metaheuristic downhill simplex method in combinatorial optimization

The concept of combinatorial objects is formalized. It allows strict definition of a combinatorial optimization problem (COP). An efficient metaheuristic method to solve COPs (H-method) is considered. It includes stochastic local search algorithms as a built-in procedure. A parallel implementation of the H-method is set forth and analyzed. The results from a numerical experiment and solution of some well-known COPs on personal computers and on the SKIT cluster supercomputer are presented. The study was supported by INTAS (Project 06-1000017-8909). __________ Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 70–79, November–December 2007.     

Linear variational principle for convex vector maximization

For infinitely dimensional convex vector maximization problems, it is proved that there exists, under certain conditions, an arbitrarily small additive perturbation of the performance criterion by a linear continuous operator such that the perturbed problem has efficient solutions. The study was sponsored by the Ukrainian State Fund for Basic Research __________ Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 105–114, March–April 2007.     

Author's reply to “Comments on ‘Performance evaluation of UKF-based nonlinear filtering”’

It is stated in the above-mentioned comment that the main result of the paper Xiong, Zhang, et al. [(2006). Performance evaluation of UKF-based nonlinear filtering. Automatica 42(2), 261-270] can be extended to a class of filters, such as the extended Kalman filter (EKF). As we show here, this belief can be justified in a rigorous way, even for the nonlinear stochastic system with a nonlinear measurement equation.     

Nonlinear parametric identification based on the criterion of minimum probability of estimation error

The importance of studies of alternative (as compared to traditional) methods of nonlinear stochastic parametric identification is demonstrated. Synthesis of a procedure of identification of the parameter, “discrete observer,” with the use of the criterion, “minimum probability of estimation error,” is proposed for the first time. A model example that demonstrates the efficiency of the proposed approach is considered.     

Huffman algebras for independent random variables

Based on a rearrangement inequality by Hardy, Littlewood, and Polya, we define two-operator algebras for independent random variables. These algebras are called Huffman algebras since the Huffman algorithm on these algebras produces an optimal binary tree that minimizes the weighted lengths of leaves. Many examples of such algebras are given. For the case with random weights of the leaves, we prove the optimality of the tree constructed by the power-of-2 rule, i.e., the Huffman algorithm assuming identical weights, when the weights of the leaves are independent and identically distributed.     

用频谱分析法对地下水位进行中长期预报

本文把影响地下水位变化过程作为随机过程，用频谱分析法建立随机水动力学模型模拟地下水位的变化过程，并将其用于地下水位的中长期预报。通过实例验证它具有较高的精度。     

Stability of impulsive stochastic functional differential systems in terms of two measures via comparison approach

Comparison principles for general impulsive stochastic functional differential systems are established.Employing the comparison principles and the theory of differential inequalities,stability and instability,involving two measures,of impulsive stochastic functional differential systems are investigated.Several stability and instability criteria are obtained,and two examples are also given to illustrate our results.     

储能设备获最大功率的改进型光伏充电系统设计

针对光伏充电系统中能量利用率不高的问题,给出了改进型光伏充电系统的硬件及软件系统的设计方法。该系统基于低功耗单片机MSP430F1611,利用扰动观察法,通过控制数字电位器来间接调节MPPT变换器的输出电压,从而光伏电池功率与MPPT变换器效率在比值最优的情况下,可使得储能设备获得最大功率。经过仿真验证,该方法可以达到预期的效果,储能设备在同等条件下能获得更多的电能。