Static output feedback stabilization of uncertain rational nonlinear systems with input saturation

Dissipativity-based conditions for the feedback stabilization of systems with time-varying input delays

“…The use of slack variables through the Finsler's Lemma combined with the use of relaxation parameters has been shown useful in recent strategies for iteratively computing stabilizing SOF gains for linear and nonlinear uncertain systems (Felipe & Oliveira, 2021;Alves Lima et al, 2022).…”

“…Recently, dissipativity theory has been investigated for its relations with the stabilizability of continuoustime nonlinear systems , where necessary and sufficient conditions for the exponential stabilizability of nonlinear non-delayed systems by linear SOF were presented. An extension to the case of inputsaturated nonlinear systems in differential-algebraic representation (DAR) was also recently studied (Alves Lima et al, 2022). Dissipativity theory has also been recently studied for the stability analysis of aperiodically sampled nonlinear systems with time-varying delay (Thomas et al, 2021).…”