Input-to-state stability of distributed parameter systems
Optimization and Control
2023-02-02 v1 Analysis of PDEs
Dynamical Systems
Abstract
Input-to-state stability (ISS) allows estimating the impact of inputs and initial conditions on both the intermediate values and the asymptotic bound on the solutions. ISS has unified the input-output and Lyapunov stability theories and is a crucial property in the stability theory of control systems as well as for many applications whose dynamics depend on parameters, unknown perturbations, or other inputs. In this habilitation thesis, we provide a broad picture of infinite-dimensional input-to-state stability theory.
Cite
@article{arxiv.2302.00535,
title = {Input-to-state stability of distributed parameter systems},
author = {Andrii Mironchenko},
journal= {arXiv preprint arXiv:2302.00535},
year = {2023}
}