Stability theorem and control of fractional systems

Abstract

The stability theorem of fractional systems is the basis of controlling fractional nonlinear systems. The theorem of fractional nonlinear systems is proved by a new approach in this paper. The results show that the theorem is applicable not only to the fractional nonlinear autonomous system, but also to the fractional nonlinear nonautonomous system. Several examples are analyzed by the theorem, and simulations are carried out, whose results show the effectiveness of the theorem.