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.
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Zhao et al. (2014) studied this question.
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