Exponential Stability of Impulsive Stochastic Functional Differential Systems

Exponential Stability of Impulsive Stochastic Delay Differential Systems

This paper investigates the stability of stochastic delay differential systems with two kinds of impulses, that is, destabilizing impulses and stabilizing impulses. Both the pth moment and almost sure exponential stability criteria are established by using the average impulsive interval.When the impulses are regarded as disturbances, a lower bound of average impulsive interval is obtained; it m...

Exponential Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses

and Applied Analysis 3 (S2) (h 0 , h)-globally exponentially stable, if there exist constants α > 0 and C ⩾ 1 such that, for all ξ ∈ PC b F t0 ([−τ, 0];Rn) and t 0 ∈ R + , Eh (t, x (t; t 0 , ξ)) ⩽ CEh 0 (t 0 , ξ) e−α(t−t0), t ⩾ t 0 . (6) Remark 4. The (h 0 , h)-stability notions are considered here in the spirit of the work by Lakshmikantham and Liu [26] to unify different stability concepts fo...

Exponential Stability of Impulsive Delay Differential Equations

and Applied Analysis 3 Note that V(t∗) = Q(t∗) + C 2 ‖Φ‖ τ e ∫ t ∗

Asymptotic Stability of Stochastic Impulsive Neutral Partial Functional Differential Equations

In this paper the authors study the existence and asymptotic stability in p-th moment of mild solutions to stochastic neutral partial differential equation with impulses. Their method for investigating the stability of solutions is based on the fixed point theorem.

Impulsive Exponential Stabilization of Functional Differential Systems with Infinite Delay