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 …
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 …
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 …
This paper investigates the asymptotic stabilization of nonlinear fractional-order systems under unknown upper bounds on external disturbances and uncertainties. The upper bound …
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 …
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 …
This research focuses on utilizing the Mittag-Leffler kernel within stochastic differential systems to estimate the controllability of nonlocal Atangana–Baleanu fractional derivatives …
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 …
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 …