Control problems are always challenging since they arise from the real-world systems where
stochasticity and randomness are of ubiquitous presence. This naturally and urgently calls …

This paper considers the stabilization and destabilization by a Brownian noise perturbation
that preserves the equilibrium of the ordinary differential equation x'(t)= f (x (t)). In an …

This paper focuses on the problem of almost sure exponential stability and stochastic
stabilization of nonlinear stochastic differential systems with impulsive effects. The moment …

This paper focuses on neutral stochastic delayed hybrid systems with Lévy noise (NSDHSs-
LN). A kind of ψ-function is introduced and the almost sure stability with general decay rate …

This paper establishes the existence-and-uniqueness theorem of neutral stochastic
functional differential equations with infinite delay and examines the almost sure stability of …

In this study, fractional stochastic pseudo-parabolic equations driven by fractional Brownian
motion are investigated. This work aims at establishing existence, uniqueness, regularity …

The approach of Lyapunov functions is one of the most efficient ones for the investigation of
the stability of stochastic systems, in particular, of singular stochastic systems. The main …

This work focuses on regime-switching jump diffusions, which include three classes of
random processes, Brownian motions, Poisson processes, and Markov chains. First, a …

This paper is concerned with the almost sure partial practical stability of stochastic
differential equations with general decay rate. We establish some sufficient conditions based …

This paper aims to determine whether or not a periodic stochastic feedback control can
stabilize or destabilize a given nonlinear hybrid system. New methods are developed and …