Results 41 to 50 of about 120 (105)

Global Stability of Switched HIV/AIDS Models with Drug Treatment Involving Caputo-Fractional Derivatives

Discrete Dynamics in Nature and Society, 2021
In this paper, we formulate and investigate new switched HIV/AIDS models with drug treatment involving Caputo-fractional derivatives. Initially, due to the fractional derivative order related to the memory and hereditary effects and supposing that the ...
Xiying Wang, Wenfeng Wang, Yuanxiao Li
doaj   +1 more source

Securing Bipartite Nonlinear Fractional-Order Multi-Agent Systems against False Data Injection Attacks (FDIAs) Considering Hostile Environment

Fractal and Fractional
This study investigated the stability of bipartite nonlinear fractional-order multi-agent systems (FOMASs) in the presence of false data injection attacks (FDIAs) in a hostile environment.
Hanen Louati, Saadia Rehman, Farhat Imtiaz, Nafisa A. AlBasheir, Afrah Y. Al-Rezami, Mohammed M. A. Almazah, Azmat Ullah Khan Niazi   +6 more
doaj   +1 more source

Uniform Stability of Discrete Delay Systems and Synchronization of Discrete Delay Dynamical Networks via Razumikhin Technique

IEEE Transactions on Circuits and Systems I: Regular Papers, 2008
In this paper, we consider discrete delay systems and obtain conditions for global uniform exponential stability. Our approach is based on the use of the Razumikhin technique and the Lyapunov function method. In the second part of the paper, we use our stability results to derive exponential synchronization criteria for discrete dynamical networks with
Liu, Bin, Marquez, Horacio
openaire   +2 more sources

Relative Nonlinear Measure Method to Exponential Stability of Impulsive Delayed Differential Equations

Abstract and Applied Analysis, 2013
This paper is devoted to providing a novel method to global exponential stability of impulsive delayed differential equations. By utilizing relative nonlinear measure method, several global exponential stability criteria are presented for the impulsive ...
Xueli Song, Xing Xin, Huiya Dai, Jigen Peng   +3 more
doaj   +1 more source

Relative Controllability of Caputo Fractional‐Order Stochastic Delay System Driven by Lévy Noise

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we study the relative controllability of fractional stochastic delay system (FSDS) driven by Lévy noise. First, we derive the solution of linear FSDS by using the delayed Mittag–Leffler matrix function. Then, using Grammian matrix, we discuss the relative controllability of linear FSDS.
Yun Zhong, Mengmeng Li, Huaiqin Wu
wiley   +1 more source

A Time Delay Estimation Based Adaptive Sliding Mode Strategy for Hybrid Impedance Control

IEEE Access, 2020
This paper is inspired by the automation of cleaning tasks required inside the endogenous environment. This work intends to develop a robust adaptive strategy for force-position control, using robotic manipulators.
Madan Mohan Rayguru, Mohan Rajesh Elara, Braulio Felix Gomez, Balakrishnan Ramalingam   +3 more
doaj   +1 more source

Physics‐Aware Observer Design for Modern Dynamical Systems: Algorithms, Fault Detection, and Practical Applications

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper proposes a comprehensive and physics aware unified framework for observer design in modern dynamical systems, explicitly accounting for physical and engineering constraints such as actuator dynamics, state coupling, modeling uncertainties, and measurement noise.
Salah Boulaaras, Asma Alharbi, Zuo Da-Wei   +2 more
wiley   +1 more source

Robust Linear Neural Network for Constrained Quadratic Optimization

Discrete Dynamics in Nature and Society, 2017
Based on the feature of projection operator under box constraint, by using convex analysis method, this paper proposed three robust linear systems to solve a class of quadratic optimization problems.
Zixin Liu, Yuanan Liu, Lianglin Xiong
doaj   +1 more source

Robust Finite‐Time Boundedness of Nonlinear General Conformable Systems With Time Delay via Takagi–Sugeno Fuzzy Models

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper addresses the finite‐time boundedness (F‐TB) for a class of time‐delay nonlinear systems subject to uncertainties and disturbances. The nonlinear system under consideration is initially represented as a general conformable Takagi–Sugeno fuzzy model (GCT‐SFM) incorporating disturbances and modeling errors, which are expressed as norm‐bounded ...
Omar Kahouli, Hamed Ould Sidi, Saleh Albadran, Zied Elleuch, Abdellatif Ben Makhlouf, Dengfeng Lu   +5 more
wiley   +1 more source

Delayed High Order Sliding Mode Control Using Implicit Lyapunov Function Approach

International Journal of Robust and Nonlinear Control, Volume 35, Issue 17, Page 7282-7294, 25 November 2025.
ABSTRACT This article presents a novel delayed high‐order sliding mode control strategy supported by dedicated mathematical tools. Building on the implicit Lyapunov–Razumikhin function method for establishing accelerated (hyperexponential) stability in time‐delay systems and the design of high‐order sliding mode controls for chain of integrators, we ...
Moussa Labbadi, Denis Efimov
wiley   +1 more source