Exponential stability of nonlinear systems involving partial unmeasurable states via impulsive control

Abstract

Abstract This paper investigates the stability problem of partial unmeasurable nonlinear systems under impulsive control. Some sufficient conditions are given to guarantee exponential stability of systems using transition matrix method coupled with dimension expansion technique, where the possibility of the effects of partial unmeasurable states is fully considered. In our proposed method, we not only allow systems to have incomplete states, but also relax restrictions on measurable states, which has a wider range of applications in practice. Finally, two illustrative examples are presented, with their numerical simulations, to demonstrate the effectiveness of main results.