基于面元素重排的三维网格模型数据隐藏算法

目的 为了解决目前三维数据隐藏算法不能兼顾无失真和盲提取的问题，提出一种新的完全无失真的三维网格模型数据隐藏盲算法。方法 首先使用混沌逻辑映射选择嵌入与提取模式，保证数据的安全性。然后利用面元素重排，完全不会造成三维模型失真的性质，通过不同嵌入模式规则对三角面元素进行重排，以嵌入秘密数据。接收端则可根据相应的提取模式规则提取秘密数据。结果 仿真结果与分析表明，该算法不会对三维模型造成任何失真，嵌入容量为每顶点2比特，且能抵抗仿射变换攻击、噪声攻击和平滑攻击等。结论 这种三维数据隐藏盲算法无失真，容量大、安全性高、鲁棒性强，适用于三维载体不容修改的情形，如军事、医学、秘密通信和版权保护等。     

Leader-following consensus of fractional-order multi-agent systems via adaptive control

This article focuses on the consensus problem of leader-following fractional-order multi-agent systems (MASs) with general linear and Lipschitz nonlinear dynamics. First, the distributed adaptive protocols for linear and nonlinear fractional-order MASs are constructed, respectively. We allow the control coupling gains to be time varying for each agent. Moreover, the adaptive modification schemes for the control gain are designed, which renders smaller control gains and thus requires smaller amplitude on the control input without sacrificing consensus convergence. Second, based on fractional-order Lyapunov stability theorem and Barbalat's lemma, two novel sufficient conditions in terms of linear matrix inequalities are provided to ensure that the leader-following consensus can be obtained in the case for any undirected connected communication graph. Furthermore, we show that the proposed algorithm also works for consensus of agents with intrinsic Lipschitz nonlinear dynamics. As a result, the proposed framework requires no global information and thus can be implemented in a fully distributed manner. Finally, the numerical simulations are given to demonstrate the effectiveness of obtained the theoretical results.     

A globally convergent BFGS method for pseudo-monotone variational inequality problems

In this paper, we propose a globally convergent BFGS method to solve Variational Inequality Problems (VIPs). In fact, a globalization technique on the basis of the hyperplane projection method is applied to the BFGS method. The technique, which is independent of any merit function, is applicable for pseudo-monotone problems. The proposed method applies the BFGS direction and tries to reduce the distance of iterates to the solution set. This property, called Fejer monotonicity of iterates with respect to the solution set, is the basis of the convergence analysis. The method applied to pseudo-monotone VIP is globally convergent in the sense that subproblems always have unique solutions, and the sequence of iterates converges to a solution to the problem without any regularity assumption. Finally, some numerical simulations are included to evaluate the efficiency of the proposed algorithm.     

Semirigid inclusions in elastic bodies: Mechanical interplay and optimal control

The paper concerns an analysis of an equilibrium problem for 2D elastic body with two semirigid inclusions. It is assumed that inclusions have a joint point, and we investigate a junction problem for these inclusions. The existence of solutions is proved, and different equivalent formulations of the problem are proposed. We investigate a convergence to infinity of a rigidity parameter of the semirigid inclusion. It is proved that in the limit, we obtain an equilibrium problem for the elastic body with a rigid inclusion and a semirigid one. A parameter identification problem is investigated. In particular, the existence of a solution to a suitable optimal control problem is proved.     

MIMO系统的约束广义预测控制

讨论了输出终端带不等式约束情形的多输入多输出系统，说明了这些约束可以通过修改输入柔化系数而使其得以满足，在柔化系数的选择范围确定过程中，为了避免矩阵求逆，采用利用已知数据辨识参数的方法来确定柔化系数，从而使得问题简化。降低了计算量且加快了收敛速度。     

混合Hermite-Lagrange插值之同时逼近

对于(-1,1)中的结点组{X_k}_(k=1)~n,记l_k(x)为相应的Lagrange插值基本多项式,又记A_n=‖∑(2-x~2-x_k~2)(1-x_k~2)~-1丨l_k(x)‖。对于f∈C_([-1,1)~q与r=[q+2/2],本文证明满足条件H_n(f,x_k)=f(x_k)(k=1,2,…,n),H_n~(s)(f,±1)=f~(s)(±1)(s=0,1,…,n-1)的n+2r-1次代数多项式H_n(f,x)有逼近性质H_n~(s)(f,x)-f~(s)(x)=(?)其中δ_n(x)=n~(-1)(1-x~2)~(1/2),△_n(x)=δ_n(x)+n~(-2).作为证明的重要工具,本文还对n次代数多项式P_n(x),建立了另一形式的Bernstein不等武:若 P_n(x)=O(1)δ_n~q(x)ω(δ_n(x)),则p_n~(S)(X)=O(1)δ_n~(q-2S)(X)ω(δ_n(X))△_n~s(X)。     

Average consensus in networks of dynamic agents with switching topologies and multiple time-varying delays

In this paper, we discuss average consensus problem in undirected networks of dynamic agents with fixed and switching topologies as well as multiple time-varying communication delays. By employing a linear matrix inequality method, we prove that all the nodes in the network achieve average consensus asymptotically for appropriate communication delays if the network topology is connected. Particularly, several feasible linear matrix inequalities are established to determine the maximal allowable upper bound of time-varying communication delays. Numerical examples are given to demonstrate the effectiveness and the sharpness of the theoretical results.     

基于非均匀星座的改进ARQ方案及其性能分析

本文针对调制阶数大于4的MPSK和MQAM调制，在重传中采用非均匀星座图和符号比特重新排序，提出了一种改进的ARQ方案。通过对AWGN信道下ARQ方案进行理论分析和数值仿真，表明基于非均匀星座的新方案在信道条件较差时能有效地提高重要比特的可靠性，若重传中结合符号比特重排和分组合并，则可使接收端解调合并后的比特可靠性趋于均匀且总体得到提高，从而有效地减少重传次数，提高系统的吞吐率。由于本文所提方案并不改变调制解调规则和数据分组长度，故容易实现和控制。     

环己酮肟液相重排反应机理及动力学研究

研究了环己酮肟重排反应生成己内酰胺的机理及反应动力学方程。在建立用分光光度法测定环己酮肟浓度方法的基础上,实验研究了反应温度为20~45℃范围内的液相重排反应动力学。提出了此反应的化学反应动力学速率方程式: -r肟= k0exp (-E/RT)Ca肟Cb硫酸,其中环己酮肟反应级数a为2,硫酸反应级数b为1,活化能为-E/R = -19.86 kJmol-1, 频率因子k0为1.35×1027。通过实验研究证实了作为催化剂的硫酸参与重排反应的机理,认为重排反应过程中游离SO3不参与反应,仅作为水的吸收剂,此结论对环己酮肟液相重排反应的生产技术改造提供了有力依据,并在生产中得到了应用。     

B2O3/TiO2-ZrO2催化剂上环己酮肟的气相Beckmann重排反应

用共沉淀法制备了TiO2-ZrO2复合氧化物载体，BET，DTA，XRD表征结果表明，该复合载体具有较大的比表面和较好的热稳定性，对于环己酮肟气相Beckmann重排反应制己内酰胺，用复合载体制备的B2O3／TiO2-ZrO2催化剂，比分别以TiO2,ZrO2为载体所制备的B2O3/TiO2和B2O3／ZrO2催化剂具有更高的活性和选择性，实验表明，催化剂表面中等强度的酸位是环己酮肟气相Beckmann重排反应的有效活性中心。