Decentralized adaptive stabilization of infinite networks of switched nonlinear systems with unknown control directions
Svyatoslav Pavlichkov, Naim Bajçinca · 2022 IEEE 61st Conference on Decision and Control (CDC) · 2022
We solve the problem of decentralized adaptive stabilization for infinite networks of hierarchically interconnected switched systems in strict-feedback form with unknown switching signals and with unknown control directions. We assume that each node is interconnected with only finite set of its neighbors and the number of neighbors of each node has a uniform upper boundary. The trajectories of the closed-loop system with our switching-independent adaptive feedback law converge to the origin with respect to the ℓ∞-norm, and this property holds uniformly with respect to the unknown switching signals.