Convergence to periodic regimes in nonlinear feedback systems with a strongly convex backlash
Systems and Control
2019-12-23 v1 Systems and Control
Dynamical Systems
Optimization and Control
Abstract
This paper considers a class of nonlinear systems consisting of a linear part with an external input and a nonlinear feedback with a backlash. Assuming that the latter is specified by a strongly convex set, we establish estimates for the Lyapunov exponents which quantify the rate of convergence of the system trajectories to a forced periodic regime when the input is a periodic function of time. These results employ enhanced dissipation inequalities for differential inclusions with strongly convex sets, which were used previously for the Moreau sweeping process.
Keywords
Cite
@article{arxiv.1912.09534,
title = {Convergence to periodic regimes in nonlinear feedback systems with a strongly convex backlash},
author = {Igor G. Vladimirov and Ian R. Petersen},
journal= {arXiv preprint arXiv:1912.09534},
year = {2019}
}
Comments
12 pages, 3 figures, submitted to the European Control Conference (ECC 2020), 12-15 May 2020, Saint Petersburg, Russia