A new approach for stabilization of control-affine systems via integral inequalities

Abstract

Abstract In this work, we use a bilinear approximation to examine the stability problem of a class of control-affine systems. We show that a continuous feedback may stabilize the system with given constraints on the term of perturbation. We provide a stabilization result for bilinear systems in presence of perturbations using integral inequalities. Moreover, we prove a new extension of Gamidov’s Lemma that allows us to stabilize a class of affine systems. An example and an application are given to verify the effectiveness of the proposed approach.