Backstepping-based lag synchronization of a complex permanent magnet synchronous motor system

Through introducing the concept of complex current and resetting cross-coupling term, this paper proposes a novel complex permanent magnet synchronous motor system and analyzes its properties. Based on a complex permanent magnet synchronous motor system, we design controllers and achieve lag synchronizations both in real part and imaginary part with backstepping method. In our study, we take complex current, time delay, and structure of complex system into consideration. Numerical simulation results demonstrate the validity of controllers.     

Wiener Chaos Approach to Optimal Prediction

The chaos expansion of a general non-linear function of a Gaussian stationary increment process conditioned on its past realizations is derived. This work combines the Wiener chaos expansion approach to study the dynamics of a stochastic system with the classical problem of the prediction of a Gaussian process based on a realization of its past. This is done by considering special bases for the Gaussian space 𝒢 generated by the process, which allows us to obtain an orthogonal basis for the Fock space of 𝒢 such that each basis element is either measurable or independent with respect to the given samples. This allows us to easily derive the chaos expansion of a random variable conditioned on part of the sample path. We provide a general method for the construction of such basis when the underlying process is Gaussian with stationary increment. We evaluate the basis elements in the case of the fractional Brownian motion, which leads to a prediction formula for this process.     

Optimal boundary control problem for n x n infinite-order parabolic lag system

^** Email: haelsaify{at}yahoo.com In this paper, we study the linear quadratic optimal boundarycontrol problem for n x n coupled system of infinite-order parabolicpartial differential equation, in which time-varying lags appearin the state equation and in the Neumann boundary conditionsimultaneously. By Lions scheme, necessary and sufficient conditionof optimality for the Neumann problem with quadratic functionaland constraint control is derived. Finally, several mathematicalexamples for derived optimality conditions are presented.     

Fitted modifications of classical Runge‐Kutta pairs of orders 5(4)

Runge‐Kutta pairs sharing orders 5 and 4 are among the most celebrated methods for solving initial value problems. Here, after considering the phase lag as a function of frequency v, we derive a modification of a particular pair. Namely, we present a zero dissipative pair with vanished phase error and its first derivative. After extended numerical tests in various oscillatory problems, it seems that this modified pair outperforms existing methods in the literature.     

Trigonometric fitted,eighth‐order explicit Numerov‐type methods

We consider the integration of the special second‐order initial value problem of the form . A recently introduced family of 7 stages, eighth‐order methods, sharing constant coefficients, is used as base. This family is properly modified to derive phase fitted and zero dissipative methods (ie, trigonometric fitted) that are best suited for integrating oscillatory problems. Numerical tests over a set of problems shows enhanced performance when the purely linear part of the problems is rather large in comparison with the rest of nonlinear parts. An appendix implementing a MATLAB listing with the coefficients of the new method is also given.     

不确定自催化反应扩散时空混沌系统的延时同步

设计了一种延迟同步控制器实现了时空混沌系统之间的同步控制.基于Lyapunov稳定性定理,确定了延迟同步控制器的结构以及系统状态变量之间的误差方程.以自催化反应扩散时空混沌系统为例,仿真模拟验证了该控制器的有效性.进一步设计了参量辨识器,对不确定自催化反应扩散时空混沌系统中的参量进行了有效辨识.通过研究有界噪声影响下系统的同步效果,表明该同步方法具有较好的抗干扰能力. 关键词： 时空混沌 延时同步 参量辨识 有界噪声     

国外同业拆借利率期限结构影响因素的实证分析——以美元LIBOR为例

通过选择反映经济的基本面和具体市场的资金面的变量建立不带移动平均项的自回归分布滞后模型,研究美元LIBOR期限结构影响因素,得到以下结论：从长期来看,通货膨胀率、联邦基金利率、道琼斯工业指数和广义货币的增长率都对LIBOR利率的水平值和斜率有影响．另外,水平值还受到三年期国债收益率的影响．从短期来看,影响水平值的因素有通货膨胀率和联邦基金利率,而三年期国债收益率是影响斜率的唯一短期因素．     

波纹内导体返波振荡器的热腔特性

 导出了波纹内导体同轴慢波结构热腔色散方程,研究了周期波纹深度、电子注平均半径、电子注电流及加速电压对波纹内导体慢波结构的高频场时间增长率的影响。结果表明：慢波结构周期减小、波纹深度加深、电子注平均半径减小、电子注电流增大、加速电压增大均会使高频场时间增长率增大。建立了粒子模型并应用PIC粒子模拟软件进行仿真,对各影响参数进行优化,结果表明：当加速电压为0.5 MV、电子束电流85 kA、波纹周期长度4.4 cm、波纹幅度为0.23 cm、内轴平均半径为2.9 mm和外壁内径为4.4 cm时,可获得10 GHz,1.1 GW效率约25%的单频微波输出。     

碳补贴和时滞效应下低碳供应链微分博弈研究

在政府低碳补贴政策下,本文考虑技术的时滞效应,构建政府、制造商和零售商的微分博弈模型,在分散决策下分析了制造商采用远视策略和短视策略时各方的最优决策,并将结果与集中决策下的对应情形进行了比较分析。研究发现滞后效应与政府的最优补贴比率负相关。制造商的短视策略并不一定会损害收益,若滞后时间超过特定阈值,那么企业将不会投资低碳技术。集中决策下减排努力、宣传努力、减排稳定值、商誉稳定值均高于分散决策,但满足一定条件时集中决策的供应链利润会低于分散决策。