Stochastic exponential stabilization and optimal control results for a class of fractional order equations

C Dineshkumar, JH Jeong, YH Joo - Chaos, Solitons & Fractals, 2024 - Elsevier
The object of this study is to define existence, controllability and exponential stability results
within a Sobolev-type fractional stochastic neutral equations of order 1< ω< 2 with sectorial …

Robust H∞ sliding mode control scheme for uncertain fractional stochastic systems: Nonlinear analysis and design

M Parvizian, K Khandani - Asian Journal of Control, 2023 - Wiley Online Library
This paper investigates the H∞ sliding mode control (SMC) design for fractional stochastic
systems. We study a very general category of stochastic systems that are nonlinear and …

Observer-based robust stabilisation of a class of non-linear fractional-order uncertain systems: an linear matrix inequalitie approach

C Li, J Wang, J Lu - IET Control Theory & Applications, 2012 - IET
This study focuses on the observer-based robust stabilisation problem of a class of non-
linear fractional-order uncertain systems with admissible time-variant uncertainty and …

Mean-square asymptotic stability of fractional-order nonlinear stochastic dynamic system

X Yuan, Y Yu, Z Lu, G Ren - Nonlinear Dynamics, 2023 - Springer
In this paper, the mean-square asymptotic stability problem is investigated for the fractional-
order nonlinear stochastic dynamic system in Hilbert space. First, a set of sufficient stability …

Robust control of nonlinear fractional-order systems with unknown upper bound of uncertainties and external disturbance

A Emamifard, H Ghadiri - IETE Journal of Research, 2023 - Taylor & Francis
This paper investigates the asymptotic stabilization of nonlinear fractional-order systems
under unknown upper bounds on external disturbances and uncertainties. The upper bound …

Robust stability analysis of uncertain fractional order neutral-type delay nonlinear systems with actuator saturation

ZS Aghayan, A Alfi, JAT Machado - Applied Mathematical Modelling, 2021 - Elsevier
In this paper, we study the robust stability of uncertain fractional order (FO) nonlinear
systems having neutral-type delay and input saturation. From the Lyapunov–Krasovskii …

Asymptotic stability of fractional neutral stochastic systems with variable delays

Z Lu, Y Zhu, Q Xu - European Journal of Control, 2021 - Elsevier
This paper mainly concerns with the stability of nonlinear Caputo fractional neutral
stochastic differential system with variable delay. A sufficient condition is derived to ensure …

Application of the Mittag-Leffler kernel in stochastic differential systems for approximating the controllability of nonlocal fractional derivatives

HA Hammad, MG Alshehri - Chaos, Solitons & Fractals, 2024 - Elsevier
This research focuses on utilizing the Mittag-Leffler kernel within stochastic differential
systems to estimate the controllability of nonlocal Atangana–Baleanu fractional derivatives …

Stochastic controllability of semilinear fractional control differential equations

P Gautam, A Shukla - Chaos, Solitons & Fractals, 2023 - Elsevier
The purpose of our research is to identify some sufficient conditions for the stochastic
controllability of fractional-order semilinear stochastic systems. The required outcomes are …

Relatively exact controllability of fractional stochastic neutral system with two incommensurate constant delays

Y Yuan, D Luo - Mathematical Methods in the Applied Sciences, 2024 - Wiley Online Library
This paper is devoted to analyzing a kind of fractional stochastic neutral system (FSNS).
Firstly, by introducing the notion of newly defined two‐parameter Mittag–Leffler matrix …