Results 41 to 50 of about 243 (136)
Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay [PDF]
, 2020 The main aim of this paper is to investigate the polynomial stability of hybrid stochastic systems with pantograph delay (HSSwPD). By using the Razumikhin technique and Lyapunov functions, we establish several Razumikhin-type theorems on the pth moment ...
Mao, Wei, Mao, Xuerong, Hu, Liangjian
core
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 +2 more
wiley +1 more source
Sampled-data Control for a Class of Linear Hyperbolic System via the Lyapunov-Razumikhin Technique
, 2021 International audienceThis work investigates the stability for a class of linear hyperbolic systems with distributed sampled-data controllers. First, we convert the original system into an equivalent system in which the sampling induced error is modeled ...
Fiter, Christophe +3 more
core
, 2021 A non-linear system of Volterra integro-fractional delay differential equations with Caputo fractional derivatives is considered. New sufficient conditions for uniform stability, asymptotic stability, and Mittag-Leffler stability of the zero solution of ...
Graef, John R. +2 more
core +1 more source
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 +3 more
doaj +1 more source
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 +5 more
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 +3 more
doaj +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
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
A Review of Benchmark and Test Functions for Global Optimization Algorithms and Metaheuristics
WIREs Computational Statistics, Volume 17, Issue 2, June 2025.ABSTRACT Benchmarking in optimization is a critical step in evaluating the performance, robustness, and scalability of machine learning algorithms and metaheuristics. While trends in benchmark design continue to evolve, synthetic functions remain vital for fundamental stress tests and theoretical evaluations.
M. Z. Naser +9 more
wiley +1 more source