Feedback Stabilization of Bernoulli Jump Nonlinear Systems: A Passivity-Based Approach

We study feedback stabilization of a Bernoulli jump nonlinear system. First, the relationship between stochastic passivity and stochastic stability is established. A state feedback controller that stabilizes a wide class of Bernoulli jump nonlinear systems is then designed using passivity-based tools. The advantage of our approach is that the nonlinear dynamics can be non-affine in the control input.