Passivity-based feedback stabilization for Bernoulli jump nonlinear systems

We study feedback stabilization of a Bernoulli jump nonlinear system. First, the relationship between stochastic passivity and stochastic stability is established. Then, by using passivity-based tools, a state feedback controller design method that stabilizes a wide class of Bernoulli jump nonlinear systems is proposed. Specifically, the class of Bernoulli jump nonlinear systems considered includes nonlinear dynamics that may not be affine in the control input.