State estimation for MIMO hybrid dynamical model

It is well-known that the parameter estimation is difficult in many real-world application where continuous nonlinear dynamics interact with discrete-event ones. In this paper, we address the problem of state estimation in hybrid systems exhibited by a mix of continuous time dynamics, discrete-time and discrete-event dynamics. We also demonstrate that a set of parameters is identifiable if the operating modes are detectable and observable. An application will illustrate the results proposed.