Non-fragile asynchronous state estimation for Markovian switching CVNs with partly accessible mode detection: The discrete-time case

Highlights：

• This is the first few attempts to investigate the non-fragile state estimation problem for the discrete-time Markovian switching networks in the complex domain, where the system mode and the estimator mode are not always synchronous.

• Such an asynchronous phenomenon is described by a hidden Markov model, where the mode detection probabilities are assumed to be partly accessible. Such a case is more general in the practical engineering fields.

• To reflect a more realistic situation, the randomly occurring nonlinearities are also considered which are characterized by two sequences of stochastic variables taking values in the interval [0,1].

• By combining with the intensive stochastic analysis method as well as the complex-valued reciprocal convex inequality in discrete-time form, mode-dependent sufficient criteria are provided to guarantee the estimation error system to be globally asymptotically stable in the mean square.