Finite-time state estimation of Markovian jumping neural networks with time-varying and distributed delays

摘要

This paper is concerned with finite-time state estimation of a class of delayed Markovian jumping neural networks. Both time-varying and distributed delays are taken into consideration. The measured output is assumed to be related to the distributed term. By choosing a suitable stochastic Lyapunov functional with tripe integral terms, a delay- and mode-dependent condition is derived such that the error system is stochastically finite-time stable with respect to prescribed scalars. It is shown that the gain matrices of the finite-time state estimator can be obtained by solving some linear matrix inequalities. Finally, an illustrative example is presented to show the effectiveness of the developed result.