Input-to-state stability of infinite-dimensional systems: Foundations and present-day developments
<|reference_start|>Input-to-state stability of infinite-dimensional systems: Foundations and present-day developments: Input-to-state stability (ISS) unifies the stability and robustness in one notion, and serves as a basis for broad areas of nonlinear control theory. In this contribution, we covered the most fundamental facts in the infinite-dimensional ISS theory with a stress on Lyapunov methods. We consider various applications given by different classes of infinite-dimensional systems. Finally, we discuss a Lyapunov-based small-gain theorem for stability analysis of an interconnection of two ISS systems.<|reference_end|>
@article{mironchenko2024input-to-state,
    title={Input-to-state stability of infinite-dimensional systems: Foundations
  and present-day developments},
    author={Andrii Mironchenko, Christophe Prieur (GIPSA-INFINITY)},
    journal={arXiv preprint arXiv:2406.02071},
    year={2024},
    archivePrefix={arXiv},
    eprint={2406.02071},
    primaryClass={eess.SY cs.SY}
}