Stabilization design for a class of discontinuous dynamical systems

This paper deals with universal stabilization design for discontinuous dynamical systems. First, the definition of the control Lyapunov function for differential inclusion systems is presented. Based on the control Lyapunov function, control laws are constructed such that the closed-loop systems are globally asymptotically stable, globally exponentially stable, and globally finite time stable, respectively. Finally, the effectiveness of the proposed method is illustrated by a simulating example.