Some new techniques are given to prove that two sorts of Abelian groups cannot function as the full automorphism groups of the finite groups. With generality these techniques made a breakthrough in MacHale’s problem.
Using the metabelian property, regularity, p-commutativity and some properties of congruence, this paper gave the orders of automorphism groups of family Ф24, which are the groups of order p^6 determined by Rodney Ja...Using the metabelian property, regularity, p-commutativity and some properties of congruence, this paper gave the orders of automorphism groups of family Ф24, which are the groups of order p^6 determined by Rodney James, where p denotes an odd prime.展开更多
针对关系度不确定非线性系统,基于模型预测控制理论和切换解析非线性模型预测控制(Nonlinear model predictive control,NMPC)提出了一种非切换的解析NMPC新方法.论证了在非切换解析NMPC控制律下,通过坐标变换可以将闭环系统分别在关系...针对关系度不确定非线性系统,基于模型预测控制理论和切换解析非线性模型预测控制(Nonlinear model predictive control,NMPC)提出了一种非切换的解析NMPC新方法.论证了在非切换解析NMPC控制律下,通过坐标变换可以将闭环系统分别在关系度确定和不确定的两个子空间近似为线性系统,得出非切换解析NMPC使闭环系统稳定的必要条件.通过仿真实验验证了非切换解析NMPC可以达到很好的响应特性,无需切换的特征也扩大了其应用范围.展开更多
基金Project supported by the National Natural Science Foundation of China.
文摘Some new techniques are given to prove that two sorts of Abelian groups cannot function as the full automorphism groups of the finite groups. With generality these techniques made a breakthrough in MacHale’s problem.
基金The Science Research Foundation of Chongqing Municipal Education Commission of China(KJ050611)
文摘Using the metabelian property, regularity, p-commutativity and some properties of congruence, this paper gave the orders of automorphism groups of family Ф24, which are the groups of order p^6 determined by Rodney James, where p denotes an odd prime.
文摘针对关系度不确定非线性系统,基于模型预测控制理论和切换解析非线性模型预测控制(Nonlinear model predictive control,NMPC)提出了一种非切换的解析NMPC新方法.论证了在非切换解析NMPC控制律下,通过坐标变换可以将闭环系统分别在关系度确定和不确定的两个子空间近似为线性系统,得出非切换解析NMPC使闭环系统稳定的必要条件.通过仿真实验验证了非切换解析NMPC可以达到很好的响应特性,无需切换的特征也扩大了其应用范围.