In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for the second order neutral functional differential equation with constant delays o...In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for the second order neutral functional differential equation with constant delays of the form （x（t）＋Bx（t-δ））＂＋Cx＇（t）＋g（x（t-τ））=p（t）.展开更多
With the conditions of small data size and low Signal-to-Noise Ratio (SNR), the application of Higher Order Statistics (HOS) is restrained not only by its high estimation variance,but also by its low estimation precis...With the conditions of small data size and low Signal-to-Noise Ratio (SNR), the application of Higher Order Statistics (HOS) is restrained not only by its high estimation variance,but also by its low estimation precision. Therefore, a modified HOS based Time Delay Estimation (TDE) algorithm is proposed to overcome these problems. Comparing with the conventional TDE algorithms, the estimation variance is improved greatly. A typical simulation example is completed in order to test the performance of the algorithm proposed, which shows that the proposed algorithm has advantages over the traditional ones in both detection performance and computation efficiency.展开更多
A definition of pseudo almost periodic sequence is given and the existence of pseudo almost periodic sequence to difference equation is studied. Based on these, the existence of pseudo almost periodic solutions to neu...A definition of pseudo almost periodic sequence is given and the existence of pseudo almost periodic sequence to difference equation is studied. Based on these, the existence of pseudo almost periodic solutions to neutral delay differential equations with piecewise constant argument is investigated展开更多
By constructing almost periodic sequence solutions to difference equations, the existence of almost periodic solutions of neutral delay differential equations with piecewise constant argument $$\frac{{d^2 }}{{dt^2 }}(...By constructing almost periodic sequence solutions to difference equations, the existence of almost periodic solutions of neutral delay differential equations with piecewise constant argument $$\frac{{d^2 }}{{dt^2 }}(x(t) + px(t - 1)) = qr\left( {2\left[ {\frac{{t + 1}}{2}} \right]} \right) + g{\bf{ }}(t,x(t),x([t]))$$ is studied.展开更多
输水明渠系统控制算法主要由前馈及反馈模块组成,其中前馈模块较大程度上影响了系统控制性能。基于蓄量主动补偿的前馈控制算法受时滞参数影响较大,为比较现有多种算法实际控制性能优劣,并寻求不依赖复杂数值计算的简化时滞参数算法,该...输水明渠系统控制算法主要由前馈及反馈模块组成,其中前馈模块较大程度上影响了系统控制性能。基于蓄量主动补偿的前馈控制算法受时滞参数影响较大,为比较现有多种算法实际控制性能优劣,并寻求不依赖复杂数值计算的简化时滞参数算法,该文进行了横向的算法比较与优化开发。文章基于蓄量阶跃补偿及蓄量二次补偿2类算法,结合改进比例-积分(proportional-integral,PI)反馈控制器,对典型测试渠系及实际工程渠系建模仿真,选取稳定时间、最大超调流量、绝对值误差积分(integral of absolute magnitude of error,IAE)和绝对流量变化积分(integrated absolute discharge change,IAQ)指标分析了蓄量阶跃补偿、动力波原理、水量平衡模型3种时滞参数算法的控制效果。结果显示,在实际工程渠系中,小流量工况下,蓄量阶跃补偿算法的稳定时间比水量平衡模型算法的稳定时间减小40.42%;大流量工况下,蓄量阶跃补偿算法的最大超调流量最小,仅比目标流量高3%,该算法的稳定时间比水量平衡模型算法的稳定时间减少25.45%。结果表明蓄量阶跃补偿算法控制效果较好,但该算法在推求渠池所需蓄量补偿值时需进行水面线推求,文章依据渠道蓄量变化与流量变化间的线性关系,提出简化的时滞参数显式算法。较传统数值算法,时滞参数显式算法与蓄量阶跃补偿算法的时滞参数差值百分比小于8%,在满足实际工程需求的同时,可明显减少推求所需蓄量补偿值的计算量。文章的比较结论及所提出的简化算法对输配水渠道系统,尤其是大型渠道系统调度具有一定的理论价值和应用前景。展开更多
基金Supported by the National Natural Science Foundation of China(No.10371034)the Hunan Provincial Natural Science Foundation of China(05JJ40009).
文摘In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for the second order neutral functional differential equation with constant delays of the form （x（t）＋Bx（t-δ））＂＋Cx＇（t）＋g（x（t-τ））=p（t）.
基金Supported by the National Natural Science Foundation of China(No.60072027)
文摘With the conditions of small data size and low Signal-to-Noise Ratio (SNR), the application of Higher Order Statistics (HOS) is restrained not only by its high estimation variance,but also by its low estimation precision. Therefore, a modified HOS based Time Delay Estimation (TDE) algorithm is proposed to overcome these problems. Comparing with the conventional TDE algorithms, the estimation variance is improved greatly. A typical simulation example is completed in order to test the performance of the algorithm proposed, which shows that the proposed algorithm has advantages over the traditional ones in both detection performance and computation efficiency.
文摘A definition of pseudo almost periodic sequence is given and the existence of pseudo almost periodic sequence to difference equation is studied. Based on these, the existence of pseudo almost periodic solutions to neutral delay differential equations with piecewise constant argument is investigated
文摘By constructing almost periodic sequence solutions to difference equations, the existence of almost periodic solutions of neutral delay differential equations with piecewise constant argument $$\frac{{d^2 }}{{dt^2 }}(x(t) + px(t - 1)) = qr\left( {2\left[ {\frac{{t + 1}}{2}} \right]} \right) + g{\bf{ }}(t,x(t),x([t]))$$ is studied.
文摘输水明渠系统控制算法主要由前馈及反馈模块组成,其中前馈模块较大程度上影响了系统控制性能。基于蓄量主动补偿的前馈控制算法受时滞参数影响较大,为比较现有多种算法实际控制性能优劣,并寻求不依赖复杂数值计算的简化时滞参数算法,该文进行了横向的算法比较与优化开发。文章基于蓄量阶跃补偿及蓄量二次补偿2类算法,结合改进比例-积分(proportional-integral,PI)反馈控制器,对典型测试渠系及实际工程渠系建模仿真,选取稳定时间、最大超调流量、绝对值误差积分(integral of absolute magnitude of error,IAE)和绝对流量变化积分(integrated absolute discharge change,IAQ)指标分析了蓄量阶跃补偿、动力波原理、水量平衡模型3种时滞参数算法的控制效果。结果显示,在实际工程渠系中,小流量工况下,蓄量阶跃补偿算法的稳定时间比水量平衡模型算法的稳定时间减小40.42%;大流量工况下,蓄量阶跃补偿算法的最大超调流量最小,仅比目标流量高3%,该算法的稳定时间比水量平衡模型算法的稳定时间减少25.45%。结果表明蓄量阶跃补偿算法控制效果较好,但该算法在推求渠池所需蓄量补偿值时需进行水面线推求,文章依据渠道蓄量变化与流量变化间的线性关系,提出简化的时滞参数显式算法。较传统数值算法,时滞参数显式算法与蓄量阶跃补偿算法的时滞参数差值百分比小于8%,在满足实际工程需求的同时,可明显减少推求所需蓄量补偿值的计算量。文章的比较结论及所提出的简化算法对输配水渠道系统,尤其是大型渠道系统调度具有一定的理论价值和应用前景。
