Adaptive decentralized stabilization of infinite networks of interconnected nonlinear systems with uncontrollable linearization
Svyatoslav Pavlichkov, Naim Bajçinca · IFAC-PapersOnLine · 2023
We solve the problem of decentralized adaptive stabilization for infinite networks of interconnected nonlinear systems in lower-triangular form with power integrators with uncontrollable linearization and with uncertainties in the last equation in which the control input appears. The feedback law is adaptive and continuous but not necessarily smooth, and the decentralized adaptive backstepping algorithm is based on small gain approach and on suitable gain assignment for each node of the infinite network.