An integrating approach for modeling nonlinear dynamic systems with embedded logic

In this paper a general approach for modeling of a wide class of technical systems is introduced that include both smooth and nonsmooth nonlinear dynamics such as those generated by embedded relays, saturation, backlash, hysteresis, dead-zone, etc.. The paper is also concerned with the solutions of global trajectories and is supported by the theory of Filippov of differential equations with discontinuous right-hand side and regularization methods.