Stability analysis and design of uniform ultimate boundedness control for a class of nonlinear switched systems

Abstract

The problems of stability analysis and synthesis for a class of nonlinear switched systems are addressed in the paper. For arbitrary switching laws and any admissible nonlinear dynamical equations, sufficient linear inequalities conditions are investigated to make such systems are absolutely stable. Next, based on the constructive approach of the common Lyapunov function, a uniform ultimate boundedness controller is developed to guarantee the practical stability of the switched systems with the nonlinear and time-varying uncertain disturbance. A numerical example is given to demonstrate the efficiency of the proposed approach.