An new stability analysis of nonlinear switched systems

Based on the sense of Lyapunov stable approach, a new method was proposed for exponentially stability analysis of nonlinear-switched system. The Active time of the switched system is used as a condition to analyze the stability in the sense of Lyapunov, so the exponential stability and asymptotic stability conditions are obtained, and based on that we construct the algorithm to analyze the stability of switched system. The results are more applicable compared with the stable condition based on the common Lyapunov function, and not just limited with LTI switched systems. Finally, a nonlinear-switched system has been used as an example to show the effectiveness of the main analysis.