Stability analysis of a certain class o ftime-varying hybrid dynamical systems

摘要

In this work we study the exponential staility of a class of hybrid dynamical systems that comprises the sampled-data systems consisting of the interconnection of a time-varying nonlinear continuous-time plant and a time-varing nonlinear discrete-time plant and a time-varing nonlinear discrete-time controller,assuming that the sampling periods are not necessarily constant.For this purpose we develop an Indirect Lyapunov method of analysis,and show that under adequate hypotheses the exponential stability of the exponentia stbility of its linearization.