Asynchronous passive control under event‐triggered scheme for discrete‐time Markov jump systems with complex probabilities.

This paper deals with the asynchronous passive control based on event‐triggered scheme for Markov jump systems with complex probabilities. A hidden Markov model with uncertain and unknown conditional probabilities is presented to describe the asynchronization. The complex probabilities consider that both transition probability matrix and conditional probability matrix in hidden Markov model contain uncertain and unknown elements simultaneously, with the former governing the jump of system mode and the latter representing the asynchronous relation between the system mode and the controller mode. Asynchronous control strategies based on hidden Markov model with complex probabilities are proposed under event‐triggered scheme. Furthermore, sufficient conditions are established to guarantee the stochastic passivity, under which the mode‐dependent controller gains and weighting matrices in the event‐triggered scheme are co‐designed. Theoretical results are finally verified via an example. [ABSTRACT FROM AUTHOR]