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arXiv · 1912.09534

Convergence to periodic regimes in nonlinear feedback systems with a strongly convex backlash

Igor G. Vladimirov·Ian R. Petersen
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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.

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Igor G. Vladimirov, Ian R. Petersen. 2019-12-19. Convergence to periodic regimes in nonlinear feedback systems with a strongly convex backlash. https://arxiv.org/abs/1912.09534

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