In-distribution stability analysis for neural Markovian jump systems: A delay-feedback control method

Abstract

In this paper, a new idea of in-distribution stability is analyzed for a class of neural Markovian jump systems with non- differential time-delays and type disturbance. To achieve such a goal, an asynchronous state-feedback controller is proposed to facilitate the design. Consider the fact that there always exist delays during practical signal transmissions, and therefore a new asynchronous delay-feedback control is reconstructed to render the closed-loop system to satisfy two preconditions. Whereupon, the closed-loop system is proved to be in-distribution stable through three steps. Note that the boundary of the designed controller does not need to be known in advance, which shows superiority over the existing delay-involved controllers.