optimal

摘要： Dear Editor,This letter investigates a class of distributed optimization problems with constrained communication.A quantized discrete-time eventtriggered zero-gradient-sum algorithm(QDE-ZGS)is developed to optimize the sum of local functions over weight-balanced directed networks.Based on an encoder-decoder scheme and a zooming-in technique,an event-triggered quantization communication is designed.Theoretical analysis shows that the exact convergence to the global optimal solution is guaranteed when the triggering threshold is bounded and the scaled sequence introduced by the zooming-in technique is quadratic summable.When the scaled sequence is bounded by an exponential decay function,QDE-ZGS converges linearly to the unique global optimal solution.Numerical simulations are conducted to demonstrate the theoretical results.

摘要： In the paper of Chwa1a(2021),a bug in the used numerical implementation was found.It concerns one of the covariance matrix coefficients that was incorrectly updated during the simulation process.As a consequence for some fluctuation scales,different bearing capacity standard deviations are obtained;however,the bug had a very limited impact on the found optimal borehole placement.Therefore,the conclusions given in the paper are still valid.The author has re-analyzed all numerical examples presented in the paper and will provide the results on an individual request.In Fig.1,corrected Figs.5,9,7 and 11 in the original paper are shown.

摘要： A thought-provoking dialogue about exchanges among cilizations leads people to the new depth of understanding China’s proposals against the Winter Olympics backdrop.

摘要： In this paper, a salp swarm algorithm(SSA) is proposed for solving the optimal power flow(OPF)problem of a power system with the incorporation of the thyristor-controlled series capacitor(TCSC). The proposed methodology is implemented for determining the optimal setting of control variables for the OPF problem, which includes the real power of generators buses, voltages of generator buses, reactive power injected by shunt compensators, and tap changing transformer ratios. The performance of the proposed approach is validated and tested on the standard IEEE-30 bus system and single-objective functions, including transmission line losses. The severity factor has been minimized and the result obtained is compared with the existing algorithms. Simulation results achieved with the proposed SSA approach demonstrate that it results in an effective and better solution for the OPF problem.

摘要： Dear editor,SAT solvers,based on heuristic algorithms,are used to solve Boolean satisfiability(SAT)problems.Satisfiability modulo theories(SMT)problem is a decision problem concerned with the satisfiability of a logical formula;it is expressed as a combination of first-order theories.

摘要： Event-triggered consensus in leader-following multi-agent systems with actuator fault is considered in this paper, in which the fault investigated can be multiplicative fault and outage fault. An event-triggered mechanism is utilized to relieve the communication burden of the interconnected system. Then, control allocation is proposed to solve actuator fault in the multi-agent systems for the first time. Compared with the existing fault-tolerant methods, the proposed method can guarantee that the consensus errors converge to zero asymptotically without the traditional rank assumption. Meanwhile, the Zeno behavior of the event-triggered system is proved to be avoided. Simulation results are also provided to verify the effectiveness of the proposed method.

摘要： Dear editor,Components such as gyros,turbines,and bearings are vital in aircraft and spacecraft,and must run safely during their entire life cycle.However,gradual damage inevitably occurs resulting in component failure.

摘要： Safe operation of the power grid requires a complete and robust control network to ensure full observability;However,redundancy measurements can create problems in expense,management,and control.The optimal phasor measurement unit(PMU)positioning problem(OPPP)is proposed to limit the number of PMUs deployed in the power grid and ensure the whole grid''s observability in the meantime.A modified branch-and-bound algorithm(MBBA)to unravel the OPPP is presented.Original BBA,which uses a single search order to create a binary tree,gives only one solution to the OPPR although more than one optimal solution exists.The proposed MBBA method consists of two different stages:the vertexes in the search tree are investigated by depth-first search(DFS)in stage 1,and the search route continues as the breadth-first search.In stage 1,the LP relaxing problems are solved by dual simplex,and in stage 2,the basic viable solution from stage 1 is used to configure the primary simplex until the optimum solution is found.OPPP is formulated as a binary decision variable MBBA model,minimizing linear objective function subject to linear matrix observability constraints.The MBBA model is unravelled using a linear integer-based external approximation scheme.IEEE test systems are used to check the feasibility of the proposed approach.Matlab software performs simulation based on a number of graph theory-based methods such as DFS,graph-theoretical method,simulated annealing,and recursive N-algorithms.These algorithms are compared to the algorithmic perspective of the proposed MBBA method.IEEE test network results confirm the validity of the proposed methodology.

摘要： Dear editor,In recent years,vertical and/or short take-off and landing(V/STOL)aircraft have attracted much attention because they combine the efficiency of fixed-wing vehicles with the flexibility of traditional vertical take-off and landing aircraft,such as a helicopter.Thrust-vectored V/STOL is often used for fighter jets(e.g.,F-35B).However,the design of an autonomous transition controller for trust-vectored V/STOL is challenging because of the nonlinearity and strong coupling in the transition process[1].In this study,the transition process refers to transiting from hover state to wing-borne flight or vice versa.

摘要： Dear editor,The main objective of this study is to investigate one type of stochastic optimal control problem for a delayed system using the maximum principle method.The existing research can be categorized into two categories.In the first category,the adjoint equation comprises two backward stochastic differential equations(BSDEs)and one backward ordinary differential equation(BODE),which is assumed to have a zero solution;see e.g.,[1-3].However,there is still scope for improvement in this research direction.Here,a special setting is considered for the system parameters;see e.g.,(3.9)and(3.12)in 21.The BODE is assumed to result in a zero solution when the necessary maximum principle is strictly applied;see e.g.,Theorem 5.1 in 31.In the second category,a typee of anticipated/time-advanced BSDE is introduced as the adjoint equation;see e.g.,[1,4-7].

摘要： Frame analysis has become popular much later in sampling theory, time-frequency analysis andwavelet theory. In the work, the notion of bivariate affine pseudoframes is introduced and the notion of abivariate generalized multiresolution analysis (GMRA) is introduced. A novel approach for designing oneGMRA of Paley-Wiener subspaces of is proposed. The sufficient condition for the existence of a sort of affinepseudoframes with fi-filter banks is obtained by virtue of a generalized multiresolution analysis. The pyramiddecomposition scheme is established based on such a generalized multiresolution analysis. An approach fordesigning a sort of affine biariate dual frames in two-dimensional space is presented. The pyramid decomposition scheme is obtained.

摘要： Frame analysis has become popular much later in sampling theory, time-frequency analysis andwavelet theory. In the work, the notion of bivariate affine pseudoframes is introduced and the notion of abivariate generalized multiresolution analysis (GMRA) is introduced. A novel approach for designing oneGMRA of Paley-Wiener subspaces of is proposed. The sufficient condition for the existence of a sort of affinepseudoframes with fi-filter banks is obtained by virtue of a generalized multiresolution analysis. The pyramiddecomposition scheme is established based on such a generalized multiresolution analysis. An approach fordesigning a sort of affine biariate dual frames in two-dimensional space is presented. The pyramid decomposition scheme is obtained.

摘要： Frame analysis has become popular much later in sampling theory, time-frequency analysis andwavelet theory. In the work, the notion of bivariate affine pseudoframes is introduced and the notion of abivariate generalized multiresolution analysis (GMRA) is introduced. A novel approach for designing oneGMRA of Paley-Wiener subspaces of is proposed. The sufficient condition for the existence of a sort of affinepseudoframes with fi-filter banks is obtained by virtue of a generalized multiresolution analysis. The pyramiddecomposition scheme is established based on such a generalized multiresolution analysis. An approach fordesigning a sort of affine biariate dual frames in two-dimensional space is presented. The pyramid decomposition scheme is obtained.

摘要： Frame analysis has become popular much later in sampling theory, time-frequency analysis andwavelet theory. In the work, the notion of bivariate affine pseudoframes is introduced and the notion of abivariate generalized multiresolution analysis (GMRA) is introduced. A novel approach for designing oneGMRA of Paley-Wiener subspaces of is proposed. The sufficient condition for the existence of a sort of affinepseudoframes with fi-filter banks is obtained by virtue of a generalized multiresolution analysis. The pyramiddecomposition scheme is established based on such a generalized multiresolution analysis. An approach fordesigning a sort of affine biariate dual frames in two-dimensional space is presented. The pyramid decomposition scheme is obtained.

摘要： Frame analysis has become popular much later in sampling theory, time-frequency analysis andwavelet theory. In the work, the notion of bivariate affine pseudoframes is introduced and the notion of abivariate generalized multiresolution analysis (GMRA) is introduced. A novel approach for designing oneGMRA of Paley-Wiener subspaces of is proposed. The sufficient condition for the existence of a sort of affinepseudoframes with fi-filter banks is obtained by virtue of a generalized multiresolution analysis. The pyramiddecomposition scheme is established based on such a generalized multiresolution analysis. An approach fordesigning a sort of affine biariate dual frames in two-dimensional space is presented. The pyramid decomposition scheme is obtained.

摘要： 本实用新型公开了一种Optimal系列用户管理服务器的隐形部署结构，包括管理模块和业务模块，以及连接两个模块的分流专用引擎。传统的用户接入服务器通常串接的内网接口和外网接口具有私网和共网的IP地址，本实用新型将其分开，采用管理与业务分流的部署结构，不仅部署简易，安全高效，并且极易管理。

摘要： 本发明提供一种用于惯性‑地磁组合姿态解算的自适应optimal‑REQUEST算法，采用一种自适应调整策略对姿态解算算法的观测矢量的权值进行动态调整，从而使得姿态解算算法在载体静止时主要依靠加速度计和地磁传感器实现姿态解算以提高静态精度，而在载体运动时主要依靠陀螺仪实现姿态解算以提高动态精度。上述自适应调整策略的核心是判断重力加速度矢量和地磁场矢量这两个矢量的观测值的夹角是否在某一个给定值附近，并同时判断重力加速度矢量的观测值的模是否在另一个给定值的附近，如果都在给定值附近则载体处于静止状态，否则载体处于运动状态。上述两个给定值可以简单地通过载体静止时加速度计和地磁传感器的测量值获得。

摘要： 本发明公开一种基于optimal ate的代理重加密方法。基于该方法，半可信的代理者利用数据拥有者提供的代理重加密密钥，将待分享的密文转换为针对数据访问者的密文，数据访问者用私钥解密获取共享数据，达到数据共享的目的。此方法在实际应用中具有加解密速度快、安全性高等特点。

摘要： 本发明提供一种用于惯性‑地磁组合姿态解算的自适应optimal‑REQUEST算法，采用一种自适应调整策略对姿态解算算法的观测矢量的权值进行动态调整，从而使得姿态解算算法在载体静止时主要依靠加速度计和地磁传感器实现姿态解算以提高静态精度，而在载体运动时主要依靠陀螺仪实现姿态解算以提高动态精度。上述自适应调整策略的核心是判断重力加速度矢量和地磁场矢量这两个矢量的观测值的夹角是否在某一个给定值附近，并同时判断重力加速度矢量的观测值的模是否在另一个给定值的附近，如果都在给定值附近则载体处于静止状态，否则载体处于运动状态。上述两个给定值可以简单地通过载体静止时加速度计和地磁传感器的测量值获得。