New approach for the control and the determination of attractors for nonlinear systems

For the attractor determination, we propose in this paper a new approach based on the definition of a comparison system by special description of the linearized model of the process around an operating state which correspond to a diagonalization or if it is not possible to the description with a matrix on the arrow form, and the use of aggregation techniques. As an illustration, this approach is applied with success for the case of a third order non linear system.