Stability of impulsive piecewise linear systems
In this article, stability of impulsive piecewise linear systems is investigated and a number of stability criteria are obtained based on Lyapunov functions. Both the stability results that impulses act as perturbation and the stability results that impulses act as stabiliser are given. Some examples are also presented to illustrate the effectiveness of the obtained results. It should be noted that it is the first time that the continuous time impulsive piecewise linear system is considered.
stability impulse piecewise linear system lyapunov function