混合解在非匹配跳跃时间下的图形稳定性：扩展论文
On the graphical stability of hybrid solutions with non-matching jump times: Extended Paper
AI总结：
本文研究混合系统解的图形稳定性，允许跳跃时间失配以避免峰值现象，并证明该稳定性可由类距离函数稳定性蕴含，从而可用Lyapunov方法分析。
摘要：
我们研究混合系统解的稳定性，其意义在于，来自邻近初始条件的解的图形保持接近，并趋向于给定解的图形。通过这种方式，允许相邻解的跳跃时间之间存在小的连续时间失配，从而避免“峰值现象”。我们提供了条件，使得这种稳定性概念可由相对于特定设计的类距离函数的稳定性所蕴含。因此，解的图形意义上的稳定性可以用现有的Lyapunov技术进行分析。
英文摘要：
We investigate stability of a solution of a hybrid system in the sense that the graphs of solutions from nearby initial conditions remain close and tend towards the graph of the given solution. In this manner, a small continuous-time mismatch is allowed between the jump times of neighbouring solutions and the `peaking phenomenon' is avoided. We provide conditions such that this stability notion is implied by stability with respect to a specifically designed distance-like function. Hence, stability of solutions in the graphical sense can be analysed with existing Lyapunov techniques.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
