Results 81 to 90 of about 695 (203)
Engineering Reports, Volume 8, Issue 8, August 2026.A within‐host HIV model incorporating variable CD4+ T‐cell production, saturated incidence, and latent reservoirs is developed and analyzed. The study shows that viral clearance, infection rate, and burst size strongly govern disease persistence, while latent infection sustains long‐term viral rebound despite suppression of active replication ...
Ahmad Umar Abubakar +2 more
wiley +1 more source
Journal of Applied Mathematics, 2014 We investigate the qualitative behavior of a perturbed causal differential equation that differs in initial position and initial time with respect to the unperturbed causal differential equations.
Coşkun Yakar, Mustafa Bayram Gücen
doaj +1 more source
Local Hypoellipticity by Lyapunov Function
Abstract and Applied Analysis, 2016 We treat the local hypoellipticity, in the first degree, for a class of abstract differential operators complexes; the ones are given by the following differential operators:Lj=∂/∂tj+(∂ϕ/∂tj)(t,A)A,j=1,2,…,n, whereA:D(A)⊂H→His a self-adjoint linear operator, positive with0∈ρ(A), in a Hilbert spaceH, andϕ=ϕ(t,A)is a series of nonnegative powers ofA ...
openaire +4 more sources
Global Challenges, Volume 10, Issue 8, August 2026.A physics‐guided cyber‐physical digital twin enables real‐time state estimation, dendrite‐risk prediction, cyber‐attack detection, and resilient control of solid‐state batteries. Physics‐informed modeling and predictive control reveal hidden degradation mechanisms, providing an interpretable framework for safer, more reliable, and intelligent battery ...
Sankar Subramanian +8 more
wiley +1 more source
A Data‐Driven Closed‐Loop Control Approach to Drive Neural State Transitions for Mechanistic Insight
Human Brain Mapping, Volume 47, Issue 11, 01 August 2026.The study introduces a data‐driven framework combining dynamical systems reconstruction and closed‐loop control to analyze brain‐state transitions in remitted depression. Using fMRI data, we show that these individuals more easily enter but struggle to exit sad mood states, revealing altered connectivity and potential neuromodulation targets for ...
Niklas Emonds +8 more
wiley +1 more source
Impulsive Stabilization for a Class of Neural Networks with Both Time-Varying and Distributed Delays
Advances in Difference Equations, 2009 The impulsive control method is developed to stabilize a class of neural networks with both time-varying and distributed delays. Some exponential stability criteria are obtained by using Lyapunov functionals, stability theory, and control by impulses.
Lizi Yin, Xiaodi Li
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Flexible control Lyapunov functions
2009 American Control Conference, 2009 A central tool in systems theory for synthesizing control laws that achieve stability are control Lyapunov functions (CLFs). Classically, a CLF enforces that the resulting closed-loop state trajectory is contained within a cone with a fixed, predefined shape, and which is centered at and converges to a desired converging point.
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Toward Autonomous Clinics: Human–Robot Collaboration in Clinical Care
MedComm, Volume 7, Issue 8, August 2026.This graphical abstract summarizes the conceptual structure of human–robot collaboration (HRC) for autonomous clinical systems. The framework is organized around a dual‐brain architecture in which a professional brain supports clinical reasoning tasks such as diagnosis, image analysis, treatment planning, and patient monitoring, while a physical brain ...
Xinyuan Wu +8 more
wiley +1 more source
Theorems on boundedness of solutions to stochastic delay differential equations
Electronic Journal of Differential Equations, 2016 In this report, we provide general theorems about boundedness or bounded in probability of solutions to nonlinear delay stochastic differential systems. Our analysis is based on the successful construction of suitable Lyapunov functionals.
Youssef N. Raffoul, Dan Ren
doaj
Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13946-13970, August 2026.ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal +2 more
wiley +1 more source