Piecewise quadratic stability analysis combined with time information for hybrid system

Abstract

This paper put forward a piecewise quadratic Lyapunov functions approach combined with time information to analysis hybrid systems' stability issues. The piecewise quadratic Lyapunov functions can be continuous or discontinuous, and with the aid of time information, we can let the piecewise quadratic Lyapunov functions increase to some extent. The search of piecewise quadratic Lyapunov functions are finished by linear matrix inequalities. Two examples are showed to demonstrate the effectiveness of the approach.