Abstract
A class of hybrid in state systems, modelled as a finite set of differential equations with parameters uncertainty and Lur'e type nonlinearities is considered. Each model of this family describes the individual mode (or regime) of the system. The transitions between these modes are described by a homogeneous Markov chain. At the moment of discontinuous mode change the state vector can be changed by jump with uncertain parameters. The state feedback control law is obtained, which guarantees exponential stability in the mean square of closed-loop hybrid system for all plant parameters uncertainty, all jump parameters uncertainty, and for all transition probabilities matrix uncertainty from the given domains.
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