198 research outputs found
Convergence to periodic regimes in nonlinear feedback systems with a strongly convex backlash
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.Comment: 12 pages, 3 figures, submitted to the European Control Conference
(ECC 2020), 12-15 May 2020, Saint Petersburg, Russi
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