Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 237
Simultaneous Stabilization of Nonaffine Systems: A Constructive Method for Polynomial Systems
Mohamed Oumoun
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 27, 2022
March 03, 2209
April 15, 2209

Abstract: In this communication, simultaneous stabilization of a collection of quadratic input nonlinear systems is considered. With the help of the technique of control Lyapunov functions (CLFs), sufficient conditions for the existence of simultaneously stabilizing state feedback controller are derived. Moreover, we present a constructive method for designing simultaneously stabilizing controller when the provided sufficient conditions are satisfied. To verify the obtained results, an illustrative example is presented as well.