论文标题
Lyapunov条件，用于带有内存的混合系统的输入到州稳定性
Lyapunov Conditions for Input-to-State Stability of Hybrid Systems with Memory
论文作者
论文摘要
本文研究了带有内存的混合系统的输入到国家稳定性，该系统模拟了受时间延迟影响的混合动力学。使用Lyapunov-Razumikhin函数和Lyapunov-Krasovskii功能，建立了基于Lyapunov的足够条件，以实现输入到州的稳定性。此外，为特殊情况提出了进一步的扩展和放松，例如稳定的流量/跳跃案例以及Lyapunov功能在流动/跳跃过程中严格降低的情况。最后，使用两个示例来说明开发的结果。
This paper studies input-to-state stability for hybrid systems with memory, which models hybrid dynamics affected by time delays. Using both Lyapunov-Razumikhin functions and Lyapunov-Krasovskii functionals, Lyapunov-based sufficient conditions are established for input-to-state stability. In addition, further extensions and relaxations are proposed for special cases, such as the stable flow/jump cases and the cases that Lyapunov functions do not decrease strictly during flow/jumps. Finally, two examples are used to illustrate the developed results.
