Global stabilizer of a general class of feedbacknonlinear systems and its exp onential convergence

We discuss the global stabilization procedure which renders a general class of feedback nonlinear systems exponential convergent . Our stabilizer consists of a nested saturation function , which is a nonlinear combination of saturation functions. Here we prove the exponential convergence of the stabilizer for the first time and give numerical examples to illustrate the efficiency of the result given above.