混沌定义从Li-Yorke提出的“周期3即混沌”走向R·L·Devaney的严格化定义后,近几年又经过J·Banks等人以及M-Vellekoop and R·Berglund进一步的研究和讨论,取得较大的进展。并指出其中的关键点是使得一维区间上,只需...混沌定义从Li-Yorke提出的“周期3即混沌”走向R·L·Devaney的严格化定义后,近几年又经过J·Banks等人以及M-Vellekoop and R·Berglund进一步的研究和讨论,取得较大的进展。并指出其中的关键点是使得一维区间上,只需要连续映射是拓扑可递的这一个条件,即得到区间上“拓扑传递性即混沌”这又一著名论断。而对n≥2维区域上的混沌,只要拓扑可递性与周期点稠密这两个条件即可。使混沌的定义朝严格化、简单化前进了一大步。对于混沌的研究者有重要的参考价值。展开更多
The output feedback model predictive control(MPC),for a linear parameter varying(LPV) process system including unmeasurable model parameters and disturbance(all lying in known polytopes),is considered.Some previously ...The output feedback model predictive control(MPC),for a linear parameter varying(LPV) process system including unmeasurable model parameters and disturbance(all lying in known polytopes),is considered.Some previously developed tools,including the norm-bounding technique for relaxing the disturbance-related constraint handling,the dynamic output feedback law,the notion of quadratic boundedness for specifying the closed-loop stability,and the ellipsoidal state estimation error bound for guaranteeing the recursive feasibility,are merged in the control design.Some previous approaches are shown to be the special cases.An example of continuous stirred tank reactor(CSTR) is given to show the effectiveness of the proposed approaches.展开更多
文摘混沌定义从Li-Yorke提出的“周期3即混沌”走向R·L·Devaney的严格化定义后,近几年又经过J·Banks等人以及M-Vellekoop and R·Berglund进一步的研究和讨论,取得较大的进展。并指出其中的关键点是使得一维区间上,只需要连续映射是拓扑可递的这一个条件,即得到区间上“拓扑传递性即混沌”这又一著名论断。而对n≥2维区域上的混沌,只要拓扑可递性与周期点稠密这两个条件即可。使混沌的定义朝严格化、简单化前进了一大步。对于混沌的研究者有重要的参考价值。
基金Supported by the National High Technology Research and Development Program of China(2014AA041802)the National Natural Science Foundation of China(61573269)
文摘The output feedback model predictive control(MPC),for a linear parameter varying(LPV) process system including unmeasurable model parameters and disturbance(all lying in known polytopes),is considered.Some previously developed tools,including the norm-bounding technique for relaxing the disturbance-related constraint handling,the dynamic output feedback law,the notion of quadratic boundedness for specifying the closed-loop stability,and the ellipsoidal state estimation error bound for guaranteeing the recursive feasibility,are merged in the control design.Some previous approaches are shown to be the special cases.An example of continuous stirred tank reactor(CSTR) is given to show the effectiveness of the proposed approaches.
