This paper develops the mean-square exponential input-to-state stability（exp-ISS） of the Euler-Maruyama（EM） method for stochastic delay control systems（SDCSs）.The definition of mean-square exp-ISS of numerical m...This paper develops the mean-square exponential input-to-state stability（exp-ISS） of the Euler-Maruyama（EM） method for stochastic delay control systems（SDCSs）.The definition of mean-square exp-ISS of numerical methods is established.The conditions of the exact and EM method for an SDCS with the property of mean-square exp-ISS are obtained without involving control Lyapunov functions or functional.Under the global Lipschitz coefficients and mean-square continuous measurable inputs,it is proved that the mean-square exp-ISS of an SDCS holds if and only if that of the EM method is preserved for a sufficiently small step size.The proposed results are evaluated by using numerical experiments to show their effectiveness.展开更多
建立了某型高炮火控系统的外弹道解算模型,此模型采用迭代-修正的方式,使用R unge-K u tta-F e lhberg自适应步长数值解法,直接解4D外弹道方程组,得到射角和弹丸飞行时间。还对该方法的精度和实时性进行了分析,确定了高炮火控系统应用...建立了某型高炮火控系统的外弹道解算模型,此模型采用迭代-修正的方式,使用R unge-K u tta-F e lhberg自适应步长数值解法,直接解4D外弹道方程组,得到射角和弹丸飞行时间。还对该方法的精度和实时性进行了分析,确定了高炮火控系统应用外弹道方程实时解算模型的可能性。展开更多
非线性质量阻尼器和线性质量阻尼器相联合的结构控制方法将非线性能量阱(nonlinear energy sink,简称NES)和调谐质量阻尼器(tuned mass damper,简称TMD)的特点集中于一个或一组装置中,使其在具有较高减振性能的同时兼备较强的鲁棒性能...非线性质量阻尼器和线性质量阻尼器相联合的结构控制方法将非线性能量阱(nonlinear energy sink,简称NES)和调谐质量阻尼器(tuned mass damper,简称TMD)的特点集中于一个或一组装置中,使其在具有较高减振性能的同时兼备较强的鲁棒性能。为研究单质量联合阻尼器和双质量联合阻尼器的减震性能,在某8自由度主体结构顶层分别附加各类控制装置,包括单联、双联、TMD和NES,并在脉冲型荷载作用下对各控制装置进行参数优化,考察其能量鲁棒性和频率鲁棒性。在地震作用下进行减震效果对比和频谱特性分析,得出在反应谱曲线呈斜坡型时,带有非线性特点的控制方法减震性能相对TMD较好。综合输入能量和频率变化两方面因素,非线性-线性联合控制方法减震性能更优越。展开更多
基金supported by the National Natural Science Foundation of China(6127312660904032)the Natural Science Foundation of Guangdong Province(10251064101000008)
文摘This paper develops the mean-square exponential input-to-state stability（exp-ISS） of the Euler-Maruyama（EM） method for stochastic delay control systems（SDCSs）.The definition of mean-square exp-ISS of numerical methods is established.The conditions of the exact and EM method for an SDCS with the property of mean-square exp-ISS are obtained without involving control Lyapunov functions or functional.Under the global Lipschitz coefficients and mean-square continuous measurable inputs,it is proved that the mean-square exp-ISS of an SDCS holds if and only if that of the EM method is preserved for a sufficiently small step size.The proposed results are evaluated by using numerical experiments to show their effectiveness.
基金Supported by National Natural Science Foundation of China(61203119,61304153)Key Program of Tianjin Natural Science Foundation,China(14JCZDJC36300)Tianjin University of Technology and Education Funded Project(RC14-48)
文摘非线性质量阻尼器和线性质量阻尼器相联合的结构控制方法将非线性能量阱(nonlinear energy sink,简称NES)和调谐质量阻尼器(tuned mass damper,简称TMD)的特点集中于一个或一组装置中,使其在具有较高减振性能的同时兼备较强的鲁棒性能。为研究单质量联合阻尼器和双质量联合阻尼器的减震性能,在某8自由度主体结构顶层分别附加各类控制装置,包括单联、双联、TMD和NES,并在脉冲型荷载作用下对各控制装置进行参数优化,考察其能量鲁棒性和频率鲁棒性。在地震作用下进行减震效果对比和频谱特性分析,得出在反应谱曲线呈斜坡型时,带有非线性特点的控制方法减震性能相对TMD较好。综合输入能量和频率变化两方面因素,非线性-线性联合控制方法减震性能更优越。
