具有时滞和参数不确定性的网络系统的滑模控制

研究了一类具有时滞的不确定网络控制系统(NCS)的滑模控制.首先,用一种特殊的变换将不确定时滞系统化为非延迟不确定系统形式.然后基于Lyapunov稳定性理论及线性矩阵不等式(LMI)技术,以线性矩阵不等式的形式给出了该系统的一些新的稳定性判据.所提出的控制器能够使具有不确定性的时滞系统渐近稳定性,而且控制器结构简单,计算方便.最后通过数值模拟,验证了所设计方法的有效性.     

Precise asymptotics in the self-normalized law of the iterated logarithm

Let X,X₁,X₂,… be i.i.d. nondegenerate random variables with zero means, and . We investigate the precise asymptotics in the law of the iterated logarithm for self-normalized sums, S_n/V_n, also for the maximum of self-normalized sums, max_1kn|S_k|/V_n, when X belongs to the domain of attraction of the normal law.     

金团簇电催化二氧化碳还原反应的研究进展

二氧化碳电还原反应(CO₂RR)在改善能源利用方式、 实现可持续碳循环以及生产高附加值液体燃料和化学品等方面具有广阔的应用前景, 近年来受到广泛关注. 有机配体保护的金团簇具有确定的晶体结构, 其不同的尺寸、 配体及组成可以有效调控氧化还原电位, 作为一种独特的模型催化剂, 为探索原子水平的CO₂RR反应机理提供了新机遇. 本文综合评述了纯金团簇和异金属原子掺杂的金团簇催化CO₂RR的研究进展, 包括金团簇的电荷、 尺寸、 配体以及掺杂对CO₂RR性能的影响, 重点讨论了CO₂RR的反应机理, 总结了金团簇在CO₂RR中所面临的挑战, 并展望了金团簇在CO₂RR中未来的研究方向和发展前景.     

A distributionally robust optimization model for batch nonlinear switched time-delay system considering uncertain output measurements

In this paper, we consider a nonlinear switched time-delay (NSTD) system with unknown switching times and unknown system parameters, where the output measurement is uncertain. This system is the underling dynamical system for the batch process of glycerol bioconversion to 1,3-propanediol induced by Klebsiella pneumoniae. The uncertain output measurement is regarded as a stochastic vector (whose components are stochastic variables) and the only information about its distribution is the first-order moment. The objective of this paper is to identify the unknown quantities of the NSTD system. For this, a distributionally robust optimization problem (a bi-level optimization problem) governed by the NSTD system is proposed, where the relative error under the environment of uncertain output measurements is involved in the cost functional. The bi-level optimization problem is transformed into a single-level optimization problem with non-smooth term through the application of duality theory in probability space. By applying the smoothing technique, the non-smooth term is approximated by a smooth term and the convergence of the approximation is established. Then, the gradients of the cost functional with respect to switching times and system parameters are derived. A hybrid optimization algorithm is developed to solve the transformed problem. Finally, we verify the obtained switching times and system parameters, as well as the effectiveness of the proposed algorithm, by solving this distributionally robust optimization problem.     

结构-模态主动控制系统的最大允许时滞及稳定性探讨

根据Ｎｙｑｕｉｓｔ稳定性准则、特征值原理和ＬＱＲ控制原理,导出了结构－模态控制系统的位移速度反馈的时滞计算公式,进而可求得结构－模态主动控制系统的最大允许时滞。数值分析表明,用两种不同稳定判据得到的两个最大允许时滞计算公式的计算结果是接近的。研究了时滞补偿后结构－模态主动控制系统的稳定性问题。从具有时滞补偿控制系统的特征方法知,具有时滞补偿的控制系统保持理想控制系统的特征值,既时滞补偿结构－模态主     

A Hybrid Preaching Optimization Algorithm Based on Kapur Entropy for Multilevel Thresholding Color Image Segmentation

Multilevel thresholding segmentation of color images plays an important role in many fields. The pivotal procedure of this technique is determining the specific threshold of the images. In this paper, a hybrid preaching optimization algorithm (HPOA) for color image segmentation is proposed. Firstly, the evolutionary state strategy is adopted to evaluate the evolutionary factors in each iteration. With the introduction of the evolutionary state, the proposed algorithm has more balanced exploration-exploitation compared with the original POA. Secondly, in order to prevent premature convergence, a randomly occurring time-delay is introduced into HPOA in a distributed manner. The expression of the time-delay is inspired by particle swarm optimization and reflects the history of previous personal optimum and global optimum. To better verify the effectiveness of the proposed method, eight well-known benchmark functions are employed to evaluate HPOA. In the interim, seven state-of-the-art algorithms are utilized to compare with HPOA in the terms of accuracy, convergence, and statistical analysis. On this basis, an excellent multilevel thresholding image segmentation method is proposed in this paper. Finally, to further illustrate the potential, experiments are respectively conducted on three different groups of Berkeley images. The quality of a segmented image is evaluated by an array of metrics including feature similarity index (FSIM), peak signal-to-noise ratio (PSNR), structural similarity index (SSIM), and Kapur entropy values. The experimental results reveal that the proposed method significantly outperforms other algorithms and has remarkable and promising performance for multilevel thresholding color image segmentation.     

A NEW SLIDING MODE CONTROL FOR A CLASS OF UNCERTAIN TIME-DELAY CHAOTIC SYSTEMS

We propose a new sliding mode control scheme for a class of uncertain time-delay chaotic systems. It is shown that a linear time invariant system with the desired system dynamics is used as a reference model for the output of a time-delay chaotic system to track. A sliding mode controller is then designed to drive the output of the time-delay chaotic system to track the desired linear system. On the sliding mode, the output of the controlled time-delay chaotic system can behave like the desired linear system. A simulation example is given in support of the proposed control scheme.     

The effect of temperature gradient on the correlation of temperature fluctuations

In this paper we present the experiment results of the space correlations of temperature fluctuations when there is and is not temperature gradient. From those results we can see clearly that the temperature fluctuation field is isotropic without temperature gradient, and it is obviously anisotropic with temperature gradient. The temperature correlation along gradient direction is obviously larger than the vertical to direction. Our experiment results agree with the theory results of D.W. Dunn and W.H. Rend^[1].     

Exponential Stability of Positive Conformable BAM Neural Networks with Communication Delays

In this paper, we consider a class of nonlinear differential equations with delays described by conformable fractional derivative. This type of differential equations can be used to describe dynamics of various practical models including biological and artificial neural networks with heterogeneous time-varying delays. By novel comparison techniques via fractional differential and integral inequalities, we prove under assumptions involving the order-preserving property of nonlinear vector fields that, with nonnegative initial states and inputs, the system state trajectories are always nonnegative for all time. This feature, called positivity, induces a special character, namely the monotonicity of the system. We then derive tractable conditions in terms of linear programming and prove, by utilizing the Brouwer''s fixed point theorem and comparisons induced by the monotonicity, that the system possesses a unique positive equilibrium point which attracts exponentially all state trajectories. An application to the exponential stability of fractional linear time-delay systems is also discussed. Numerical examples with simulations are given to illustrate the theoretical results.     

基于坐标转换的数字天顶仪定向方法

为了提高仪器的工作效率,在数字天顶仪定位的基础上开展了定向方法的研究,构建了识别星点的坐标转换模型.从坐标转换模型出发,分析了仪器倾斜及光轴倾斜等因素对恒星像点图像坐标的影响,研究了焦距值及光轴指向的天文坐标对恒星理论坐标的影响,并在坐标转换的基础上建立了定向模型.试验结果表明,单组星图的定向精度均在5″以内,定向精度较高,能够满足实际条件下对定向精度的要求.