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We obtained a semi-analytical treatment obtaining estimators for the sample variance and variance of sample variance for the RTS noise. Our method suggests a way to experimentally determine the constants of capture and emission in the case…

应用物理 · 物理学 2022-01-27 Roberto da Silva , Gilson Wirth

The Error-in-Variables model of system identification/control involves nontrivial input and measurement corruption of observed data, resulting in generically nonconvex optimization problems. This paper performs full-state-feedback…

最优化与控制 · 数学 2024-05-21 Jared Miller , Tianyu Dai , Mario Sznaier

Stability and stabilization for linear state feedback control systems in the presence of sensor quantization are studied. As the closed-loop system is described by a discontinuous right-hand side differential equation, Krasovskii solutions…

最优化与控制 · 数学 2021-12-21 Francesco Ferrante , Frédéric Gouaisbaut , Sophie Tarbouriech

In this paper we explore the stabilization of closed invariant sets for passive systems, and present conditions under which a passivity-based feedback asymptotically stabilizes the goal set. Our results rely on novel reduction principles…

最优化与控制 · 数学 2019-04-16 Mohamed I. El-Hawwary , Manfredi Maggiore

We investigate the regularity of the strongly continuous semigroup associated with a system of two coupled second order evolution equations with indirect damping, whose stability was recently studied by Hao et al. By deriving the asymptotic…

偏微分方程分析 · 数学 2025-08-29 Chenxi Deng , Zhaobin Kuang , Zhuangyi Liu , Qiong Zhang

We present an analysis of the stability spectrum for all stationary periodic solutions to the sine-Gordon equation. An analytical expression for the spectrum is given. From this expression, various quantitative and qualitative results about…

可精确求解与可积系统 · 物理学 2017-11-22 Bernard Deconinck , Peter McGill , Benjamin L. Segal

This note provides a general construction, and gives a concrete example of, forced ordinary differential equation systems that have these two properties: (a) for each constant input u, all solutions converge to a steady state but (b) for…

动力系统 · 数学 2009-06-12 Eduardo D. Sontag

A semilinear parabolic equation with constraint modeling the dynamics of a microelectromechanical system (MEMS) is studied. In contrast to the commonly used MEMS model, the well-known pull-in phenomenon occurring above a critical potential…

偏微分方程分析 · 数学 2017-07-13 Philippe Laurencot , Christoph Walker

In this article, we investigate the stabilizability of the two- and three-dimensional Navier-Stokes equations with memory effects around a non-constant steady state using a localized interior control. The system is first linearized around a…

偏微分方程分析 · 数学 2025-02-04 Wasim Akram , Manika Bag , Manil T. Mohan

Effects of a coupling between the mechanical vibrations of a quantum dot placed between the two leads of a single electron transistor and coherent tunneling of electrons through a single level in the dot has been studied. We have found that…

介观与纳米尺度物理 · 物理学 2009-11-07 D. Fedorets , L. Y. Gorelik , R. I. Shekhter , M. Jonson

Checking whether a system of linear equations is consistent is a basic computational problem with ubiquitous applications. When dealing with inconsistent systems, one may seek an assignment that minimizes the number of unsatisfied…

数据结构与算法 · 计算机科学 2022-08-05 Konrad K. Dabrowski , Peter Jonsson , Sebastian Ordyniak , George Osipov , Magnus Wahlström

This paper presents a non-linear stability analysis for dc-microgrids in both, interconnected mode and island operation with primary control. The proposed analysis is based on the fact that the dynamical model of the grid is a gradient…

最优化与控制 · 数学 2019-01-07 Alejandro Garces

We analyse the stability of periodic, travelling-wave solutions to the Kawahara equation and some of its generalizations. We determine the parameter regime for which these solutions can exhibit resonance. By examining perturbations of…

斑图形成与孤子 · 物理学 2018-06-25 O. Trichtchenko , B. Deconinck , R. Kollar

New necessary and sufficient conditions are proposed for the stability investigation of dynamical systems using the flow and the divergence of the phase vector velocity. The obtained conditions generalize the well-known results of V.P.…

最优化与控制 · 数学 2019-05-17 Igor Furtat

Turing patterns on unbounded domains have been widely studied in systems of reaction-diffusion equations. However, up to now, they have not been studied for systems of conservation laws. Here, we (i) derive conditions for Turing instability…

偏微分方程分析 · 数学 2018-01-17 Blake Barker , Soyeun Jung , Kevin Zumbrun

This paper is devoted to the generalized differential study of the normal cone mappings associated with a large class of parametric constraint systems (PCS) that appear, in particular, in nonpolyhedral conic programming. Conducting a local…

最优化与控制 · 数学 2017-11-21 Helmut Gfrerer , Boris S. Mordukhovich

This paper proposes a generalized passivity sensitivity analysis for power system stability studies. The method uncovers the most effective instability mitigation actions for both device-level and system-level investigations. The particular…

系统与控制 · 电气工程与系统科学 2025-04-11 Dongyeong Lee , Francisco Javier Cifuentes Garcia , Jef Beerten

Conditional stability estimates require additional regularization for obtaining stable approximate solutions if the validity area of such estimates is not completely known. In this context, we consider ill-posed nonlinear inverse problems…

数值分析 · 数学 2020-01-29 Frank Werner , Bernd Hofmann

The aim of this article is to investigate the well-posedness, stability and convergence of solutions to the time-dependent Maxwell's equations for electric field in conductive media in continuous and discrete settings. The situation we…

数值分析 · 数学 2023-12-21 Eric Lindström , Larisa Beilina

Most studies on path-vector routing stability have been conducted empirically by means of ad-hoc analysis of BGP data traces. None of them consider prior specification of an analytic method including the use of stability measurement metrics…

网络与互联网体系结构 · 计算机科学 2012-04-26 Papadimitriou Dimitri , Cabellos Albert