This paper is concerned with the stabilization of highly nonlinear stochastic neutral Markovian jump systems (HNSNMJSs) multiple delays. First, mild conditions are imposed on coefficients system to ensure existence and uniqueness solution. Second, design method delayed feedback control provided stabilize an unstable HNSNMJS delays in term. In particular, novel terms M-matrices proposed for func...

This paper proposes a class of H∞ filter design for Markovian jump systems with time-varying delays. Firstly, by exploiting a new Lyapunov function and using the convexity property of the matrix inequality, new criteria is derived for the H∞ performance analysis of the filtering-error systems, which can lead to much less conservative analysis results. Secondly, based on the obtained conditions,...

It is shown that non-Markovian master equations for an open system which are local in time can be unravelled through a piecewise deterministic quantum jump process in its Hilbert space. We derive a stochastic Schrödinger equation that reveals how non-Markovian effects are manifested in statistical correlations between different realizations of the process. Moreover, we demonstrate that possible...