Abstract: This work is devoted to the study of linear continuous-time systems with Markovian jumping parameters and constrained control. The constraints used in this paper are of symmetrical inequality type. The approach of positively invariant sets is used to obtain new necessary and sufficient condition of stochastic positive invariance and sufficient condition of stochastic stability. These ...

In this paper, we investigate the state estimation problem for a new class of discrete-time neural networks with Markovian jumping parameters as well as mode-dependent mixed time-delays. The parameters of the discrete-time neural networks are subject to the switching from one mode to another at different times according to a Markov chain, and the mixed time-delays consist of both discrete and d...

In this paper, the non-fragile state estimation problem is investigated for a class of discrete-time neural networks subject to Markovian jumping parameters and time delays. In terms of a Markov chain, the mode switching phenomenon at different times is considered in both the parameters and the discrete delays of the neural networks. To account for the possible gain variations occurring in the ...