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Necessary and sufficient conditions for the internal stability of formations whose dynamics are obtained is determined by linear differential equations.

最优化与控制 · 数学 2024-03-20 A. V. Lakeyev

The simulation of supersonic or hypersonic flows often suffers from numerical shock instabilities if the flow field contains strong shocks, limiting the further application of shock-capturing schemes. In this paper, we develop the unified…

数值分析 · 数学 2023-08-16 Weijie Ren , Wenjia Xie , Ye Zhang , Hang Yu , Zhengyu Tian

This paper is concerned with the study of the stability of dynamical systems evolving on time scales. We first {formalize the notion of matrix measures on time scales, prove some of their key properties and make use of this notion to study…

动力系统 · 数学 2022-06-10 Giovanni Russo , Fabian Wirth

Stability selection is a widely adopted resampling-based framework for high-dimensional variable selection. This paper seeks to broaden the use of an established stability estimator to evaluate the overall stability of the stability…

统计方法学 · 统计学 2025-06-04 Mahdi Nouraie , Samuel Muller

This paper aims to develop the stability theory for singular stochastic Markov jump systems with state-dependent noise, including both continuous- and discrete-time cases. The sufficient conditions for the existence and uniqueness of a…

最优化与控制 · 数学 2015-09-04 Yong Zhao , Weihai Zhang

We study the instabilities of a harmonic oscillator subject to additive and dichotomous multiplicative noise, focussing on the dependance of the instability threshold on the mass. For multiplicative noise in the damping, the instability…

统计力学 · 物理学 2015-06-11 Moshe Gitterman , David A. Kessler

In this paper we introduce the concept of universal stabilizability: the condition that every solution of a nonlinear system can be globally stabilized. We give sufficient conditions in terms of the existence of a control contraction…

最优化与控制 · 数学 2013-11-21 Ian R. Manchester , Jean-Jacques E. Slotine

The stability of the orbital motion of two long cylindrical magnets interacting exclusively with magnetic forces is described. To carry out analytical studies a model of magnetically interacting symmetric tops [1] is used. The model was…

数学物理 · 物理学 2011-01-18 Stanislav Zub

We re-examine the lower bound on the mass of the Higgs boson, $M_H$, from Standard Model vacuum stability including next-to-leading-log radiative corrections. This amounts to work with the full one-loop effective potential, $V(\phi)$,…

高能物理 - 唯象学 · 物理学 2009-10-28 J. A. Casas , J. R. Espinosa , M. Quiros

This is an addendum to the paper of the above title published in Physics Letters B317, 159 (1993). In that paper, I found the lower bound to the Higgs mass as a function of the top quark mass one obtains by requiring that the standard model…

高能物理 - 唯象学 · 物理学 2007-05-23 Marc Sher

In this paper, we analyze the behavior of the multivariate symmetric uncertainty (MSU) measure through the use of statistical simulation techniques under various mixes of informative and non-informative randomly generated features.…

Contraction analysis is a stability theory for nonlinear systems where stability is defined incrementally between two arbitrary trajectories. It provides an alternative framework in which to study uncertain interconnections or systems with…

最优化与控制 · 数学 2009-02-24 Erin M. Aylward , Pablo A. Parrilo , Jean-Jacques E. Slotine

Estimation of solution norms and stability for time-dependent nonlinear systems is ubiquitous in numerous applied and control problems. Yet, practically valuable results are rare in this area. This paper develops a novel approach, which…

动力系统 · 数学 2018-08-29 Mark A. Pinsky , Steve Koblik

The solution of a fine tuning problem is one of the principal motivations of Supersymmetry. However experimental constraints indicate that many Supersymmetric models are also fine tuned (although to a much lesser extent). We review the…

高能物理 - 唯象学 · 物理学 2015-05-13 Peter Athron , D. J. Miller

We study the allowed parameter space of the constrained minimal supersymmetric Standard Model (cMSSM) in the light of direct searches, constraints from $B$-physics (including the recent measurement of the branching ratio for $B_s \to…

高能物理 - 唯象学 · 物理学 2013-05-30 Diptimoy Ghosh , Monoranjan Guchait , Sreerup Raychaudhuri , Dipan Sengupta

We present a thorough stability analysis of modified gravity theories in the presence of matter fields. We use the Effective Field Theory framework for Dark Energy and Modified Gravity to retain a general approach for the gravity sector and…

广义相对论与量子宇宙学 · 物理学 2017-03-14 Antonio De Felice , Noemi Frusciante , Georgios Papadomanolakis

Recently Murayama and Nomura proposed a simple scheme to construct the gauge mediation models, using metastable supersymmetry breaking vacua. It has a possibility to predict the ultra light gravitino mass m_{3/2} \lesssim 16 eV, while such…

高能物理 - 唯象学 · 物理学 2008-11-26 Junji Hisano , Minoru Nagai , Masato Senami , Shohei Sugiyama

We introduce a novel set of stability conditions for vacua with broken Lorentz symmetry. The first class of conditions require that the energy be minimized under small geometric deformations, which translates into requiring the positivity…

高能物理 - 理论 · 物理学 2015-06-16 Sophia K. Domokos , Carlos Hoyos , Jacob Sonnenschein

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

最优化与控制 · 数学 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

Empirical diagnosis of stability has received considerable attention, mostly focused on variance metrics for early warning signals of abrupt system change. Despite this, the theoretical foundation and application has been limited to…

适应与自组织系统 · 物理学 2020-09-11 Zachary C Williams , Dylan E McNamara