Results 71 to 80 of about 4,626,700 (338)

Stabilization and Analytic Approximate Solutions of an Optimal Control Problem

open access: yesOpen Physics, 2018
This paper analyses a dynamical system derived from a left-invariant, drift-free optimal control problem on the Lie group SO(3) × ℝ3 × ℝ3 in deep connection with the important role of the Lie groups in tackling the various problems occurring in physics ...
Pop Camelia   +2 more
doaj   +1 more source

Nonlinear Stability

open access: yes, 1990
The Lax-Wendroff Theorem presented in Chapter 12 does not say anything about whether the method converges, only that if a sequence of approximations converges then the limit is a weak solution. To guarantee convergence, we need some form of stability, just as for linear problems.
openaire   +2 more sources

Prediction of Myasthenia Gravis Worsening: A Machine Learning Algorithm Using Wearables and Patient‐Reported Measures

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Myasthenia gravis (MG) is a rare disorder characterized by fluctuating muscle weakness with potential life‐threatening crises. Timely interventions may be delayed by limited access to care and fragmented documentation. Our objective was to develop predictive algorithms for MG deterioration using multimodal telemedicine data ...
Maike Stein   +7 more
wiley   +1 more source

On Stability of a Nonlinear Pendulum [PDF]

open access: yesNonlinear Oscillations, 2003
The author studies the stability of a nonlinear pendulum whose behavior is described by the Bogolyubov--Zubarev equations [\textit{N. N. Bogolyubov} and \textit{D. N. Zubarev}, Ukr. Math. J. 7, No. 1, 5--17 (1955; Zbl 0065.42703)]. By means of the direct method Lyapunov and a comparison equation of the type \[ \frac{dy}{dt} = \psi(t)[y+\sigma(t,\mu ...
openaire   +2 more sources

Discovery and Targeted Proteomic Studies Reveal Striatal Markers Validated for Huntington's Disease

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Clinical trials for Huntington's disease (HD) enrolling persons before clinical motor diagnosis (CMD) lack validated biomarkers. This study aimed to conduct an unbiased discovery analysis and a targeted examination of proteomic biomarkers scrutinized by clinical validation. Methods Cerebrospinal fluid was obtained from PREDICT‐HD and
Daniel Chelsky   +8 more
wiley   +1 more source

Neural Nonparametric Stability Indicator for Self-Excited Dynamical Systems

open access: yesIEEE Access
This article introduces a novel methodology employing deep-learning neural networks to estimate Lyapunov functions in dynamic systems accurately. Unlike traditional parametric approaches, our method is model-free, enabling adaptability to various system ...
Krzysztof Lalik
doaj   +1 more source

Some new remarks on MHD Jeffery-Hamel fluid flow problem

open access: yesOpen Physics, 2017
A Hamilton-Poisson realization of the MHD Jeffery-Hamel fluid flow problem is proposed. Tthe nonlinear stability of the equilibrium states is discussed.
Ene Remus-Daniel, Pop Camelia
doaj   +1 more source

Stability analysis for nonlinear closed loop system structure

open access: yesSystems Science & Control Engineering, 2020
In this paper, stability analysis is studied for the nonlinear closed loop system with a nonlinear plant and a nonlinear controller. Without the linearizing process for the nonlinear plant and the nonlinear controller, a Lipschitz continuous assumption ...
Wang Jianhong   +1 more
doaj   +1 more source

Practical Ulam-Hyers-Rassias stability for nonlinear equations [PDF]

open access: yesMathematica Bohemica, 2017
In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets.
Jin Rong Wang, Michal Fečkan
doaj   +1 more source

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