Finite-time stability of dynamical system under event-triggered hybrid control

T Yu, Y Liu, J Cao, FE Alsaadi - Applied Mathematical Modelling, 2023 - Elsevier
Finite-time stability analysis for general dynamical system is presented under event-
triggered control mechanism in this paper. By designing a novel event-triggered mechanism …

Finite time stability of fractional order systems of neutral type

A Ben Makhlouf, D Baleanu - Fractal and Fractional, 2022 - mdpi.com
This work deals with a new finite time stability (FTS) of neutral fractional order systems with
time delay (NFOTSs). In light of this, FTSs of NFOTSs are demonstrated in the literature …

New results on finite-time stability of fractional-order neural networks with time-varying delay

NT Thanh, P Niamsup, VN Phat - Neural Computing and Applications, 2021 - Springer
In this paper, we propose an analytical approach based on the Laplace transform and Mittag–
Leffler functions combining with linear matrix inequality techniques to study finite-time …

[PDF][PDF] Stability analysis of Caputo fractional time-dependent systems with delay using vector lyapunov functions

JO Achuobi, EP Akpan, R George, AE Ofem - AIMS Mathematics, 2024 - aimspress.com
In this study, we investigate the stability and asymptotic stability properties of Caputo
fractional time-dependent systems with delay by employing vector Lyapunov functions …

Some results for a class of two-dimensional fractional hyperbolic differential systems with time delay

H Arfaoui, A Ben Makhlouf - Journal of Applied Mathematics and …, 2022 - Springer
This work deals with the existence and uniqueness of global solution and finite time stability
of fractional partial hyperbolic differential systems (FPHDSs). Using the fixed-point …

A novel finite time stability analysis of nonlinear fractional‐order time delay systems: a fixed point approach

A Ben Makhlouf - Asian Journal of Control, 2022 - Wiley Online Library
Finite time stability (FTS) of fractional‐order time delayed systems (FOTDSs) has been
studied by many researchers based on the Lyapunov functions and Gronwall inequalities. In …

Exact solutions and Hyers-Ulam stability of fractional equations with double delays

Y Liang, Y Shi, Z Fan - Fractional Calculus and Applied Analysis, 2023 - Springer
In this paper, we discuss the exact solutions of linear homogeneous and nonhomogeneous
fractional differential equations with double delays. Firstly, a new concept of double-delayed …

Finite-time synchronization control of networked chaotic complex-valued systems with adaptive coupling

T Yu, J Cao, K Lu - IEEE Transactions on Network Science and …, 2022 - ieeexplore.ieee.org
In the present paper, the finite-time synchronization control problem is addressed for the
networked complex-valued dynamical systems with directed and undirected topologies. By …

Non-fragile finite-time guaranteed cost control for a class of singular caputo fractional-order systems with uncertainties

NT Phuong, MV Thuan, NH Sau, NH Muoi - Circuits, Systems, and Signal …, 2024 - Springer
In the present paper, for the first time, we consider the problem of non-fragile finite-time
guaranteed cost control for a class of fractional-order singular systems with norm-bounded …

Asymptotic stabilization of delayed linear fractional-order systems subject to state and control constraints

X Si, Z Wang, Z Song, Z Zhang - Fractal and Fractional, 2022 - mdpi.com
Studies have shown that fractional calculus can describe and characterize a practical
system satisfactorily. Therefore, the stabilization of fractional-order systems is of great …