论文标题
动态系统的链链鲁棒性的必要条件
A Necessary Condition on Chain Reachable Robustness of Dynamical Systems
论文作者
论文摘要
``民间传说''是，对于动态系统设定的可及性问题的解决方案仅是由于非志愿原因而言是不可误的。可以在动态系统上施加的鲁棒条件是链可覆盖集以等于可及的封闭设置的要求。我们声称这种情况必然会对动态系统施加强大的条件。例如，如果空间已连接并紧凑，并且我们正在计算链链稳健的单个有价值功能$ f $，则$ f $不能具有不稳定的固定点或不稳定的周期性周期。
It is ``folklore'' that the solution to a set reachability problem for a dynamical system is only noncomputable because of non-robustness reasons. A robustness condition that can be imposed on a dynamical system is the requirement of the chain reachable set to equal the closure of the reachable set. We claim that this condition necessarily imposes strong conditions on the dynamical system. For instance, if the space is connected and compact and we are computing a chain reachable robust single valued function $f$ then $f$ cannot have an unstable fixed point or unstable periodic cycle.
