Improved stability and H∞ performance for neutral systems with uncertain Markovian jump

L Xiong, H Zhang, Y Li, Z Liu - Nonlinear Analysis: Hybrid Systems, 2016 - Elsevier
This paper addresses the problem of the delay-dependent stability and H∞ performance for
neutral systems with uncertain Markovian jump; the uncertainty of Markovian jump refers to …

[HTML][HTML] The pth moment exponential ultimate boundedness of impulsive stochastic differential systems

L Xu, SS Ge - Applied Mathematics Letters, 2015 - Elsevier
In this paper, we investigate the global p th moment exponential ultimate boundedness of
impulsive stochastic differential systems. Using Lyapunov functions and algebraic inequality …

Controllability of impulsive neutral fractional stochastic systems

QT Ain, M Nadeem, A Akgül, M De la Sen - Symmetry, 2022 - mdpi.com
The study of dynamic systems appears in various aspects of dynamical structures such as
decomposition, decoupling, observability, and controllability. In the present research, we …

[PDF][PDF] Banach fixed-point theorem in semilinear controllability problems–a survey

J Klamka, A Babiarz, M Niezabitowski - Bulletin of the Polish …, 2016 - psjd.icm.edu.pl
The main aim of this article is to review the existing state of art concerning the complete
controllability of semilinear dynamical systems. The study focus on obtaining the sufficient …

Complete controllability of impulsive stochastic integro-differential systems

L Shen, J Shi, J Sun - Automatica, 2010 - Elsevier
This paper is concerned with the controllability of impulsive stochastic integro-differential
systems. Sufficient conditions of complete controllability for impulsive stochastic integro …

Existence and controllability results for a new class of impulsive stochastic partial integro‐differential inclusions with state‐dependent delay

Z Yan, X Jia - Asian Journal of Control, 2017 - Wiley Online Library
In this paper, we study a new class of impulsive stochastic partial integro‐differential
inclusions with state‐dependent delay in separable Hilbert spaces. Firstly, by using …

Controllability of nonlinear stochastic fractional neutral systems with multiple time varying delays in control

RM Lizzy, K Balachandran, JJ Trujillo - Chaos, Solitons & Fractals, 2017 - Elsevier
Sufficient conditions for relative controllability of stochastic fractional neutral systems with
bounded operator and multiple time varying delay in the control are obtained. The result is …

On the controllability of nonlocal second‐order impulsive neutral stochastic integro‐differential equations with infinite delay

DD Huan - Asian Journal of Control, 2015 - Wiley Online Library
In this paper, we investigate the controllability for a class of nonlocal second‐order impulsive
neutral stochastic integro‐differential equations with infinite delay in Hilbert spaces. More …

A study on stochastic differential equation using fractional power of operator in the semigroup theory

E Hagenimana, C Uwilingiyimana… - Journal of Applied …, 2023 - scirp.org
Stochastic differential equation (SDE) is an ordinary differential equation with a stochastic
process that can model the unpredictable real-life behavior of any continuous systems. It is …

Analysis of stochastic neutral fractional functional differential equations

A Siva Ranjani, M Suvinthra, K Balachandran… - Boundary Value …, 2022 - Springer
This work deals with the large deviation principle which studies the decay of probabilities of
certain kind of extremely rare events. We consider stochastic neutral fractional functional …