Lyapunov Conditions for Input-to-State Stability of Hybrid Systems with Memory
Systems and Control
2022-02-01 v1 Systems and Control
Abstract
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.
Keywords
Cite
@article{arxiv.2201.12862,
title = {Lyapunov Conditions for Input-to-State Stability of Hybrid Systems with Memory},
author = {Wei Ren and Junlin Xiong},
journal= {arXiv preprint arXiv:2201.12862},
year = {2022}
}
Comments
8 pages, IEEE Transactions on Automatic Control