New Stabilizing Controller Nonlinear System Design Using the Generalized Thin Arrow Form Matrix. Application to the Chaos Synchronization

This paper deals with the stability study of closed loop nonlinear continuous systems for which the instantaneous characteristic matrix is under the generalized thin arrow form. Indeed, the description of studied systems by matrix in generalized thin arrow form, makes stabilization conditions expressed easily when aggregation techniques are used. Obtained results are successfully applied such that Qi system is controlled to be hyperchaotic Lorenz Stenflo system.