Bacha, A., Jerbi, H. and Benhadj Braiek, N. (2007) On the Synthesis of a Combined Discrete Reversing Trajectory Method for the Asymptotic Stability Region Estimation of Nonlinear Polynomial Systems. Proceedings of 13th IEEE IFAC, International Conference on Methods, Models in Automation and Robotics, IEEE Conference Number 12469, Szczecin, 27-30 August 2007, 243-248.

has been cited by the following article:

• TITLE: Validity of Approach to Maximize the ASR of the Order Superiorly Two in Discrete Nonlinear Systems

  AUTHORS: Samia Charfeddine, Lassaad Sbita

  KEYWORDS: Discrete-Time Systems, Reverse Trajectory Method, Nonlinear Polynomial Systems, Asymptotic Stability Region (ASR), Synchronous Generateur

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.3 No.3, July 30, 2014

  ABSTRACT: This paper is, in fact, a proposal of a polynomial approach to the nonlinear systems control by using the concept of linearization by state feedback. In this context, a discretization method is presented. We developed a discrete control scheme based on an approximate feedback linearization method and the reversing trajectory method. The proposed control strategy sits on the methods of widening the stability domains of operating points. Such domains are expanded through the use of the non Lyapunov stability synthesis methods. Additionally, the developed technique is employed for the control of the class of systems with an order higher than two; more precisely, the example of a synchronous generator featured in a strongly nonlinear model.