Results 71 to 80 of about 4,626,700 (338)
Stabilization and Analytic Approximate Solutions of an Optimal Control Problem
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
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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.
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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
Finite-Time Stability of Solutions for Nonlinear
Jingfeng Wang, Chuanzhi Bai
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On Stability of a Nonlinear Pendulum [PDF]
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 ...
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Discovery and Targeted Proteomic Studies Reveal Striatal Markers Validated for Huntington's Disease
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
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
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Some new remarks on MHD Jeffery-Hamel fluid flow problem
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
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Stability analysis for nonlinear closed loop system structure
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
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Practical Ulam-Hyers-Rassias stability for nonlinear equations [PDF]
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
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