Abstract
In this paper, sampled-data control of locally Lipschitz nonlinear systems is studied. The controller is designed entirely in the discrete-time domain. The design is based on the approximate discrete-time model of the continuous-time system obtained using the Euler method. The analyses of the closed loop system establish trajectory convergence, which implies asymptotic/exponential convergence for arbitrarily small sampling time. The major contribution of this paper is that asymptotic/exponential convergence of the closed loop system is proved under some additional conditions for a sufficiently small but nonzero sampling time.