Output feedback stabilization of stochastic non-linear hybrid systems

This paper deals with the control of stochastic non-linear hybrid systems. Under some appropriate assumptions, results on stochastic stability and stochastic stabilization are developed. Two output feedback controllers (linear and non-linear) that stochastically stabilize the class of systems under study are designed. Linear matrix inequality sufficient conditions are developed to compute the gains of these controllers. A numerical example is provided to show the usefulness of the developed results.