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This work is devoted to the stability/resolution analysis of several imaging functionals in complex environments. We consider both linear functionals in the wavefield as well as quadratic functionals based on wavefield correlations. Using…

Analysis of PDEs · Mathematics 2015-01-27 G. Bal , O. Pinaud , L. Ryzhik

This paper explores the properties of adaptive systems with closed-loop reference models. Using additional design freedom available in closed-loop reference models, we design new adaptive controllers that are (a) stable, and (b) have…

Optimization and Control · Mathematics 2012-10-31 Travis E. Gibson , Anuradha M. Annaswamy , Eugene Lavretsky

In past works, various schemes for adaptive synchronization of chaotic systems have been proposed. The stability of such schemes is central to their utilization. As an example addressing this issue, we consider a recently proposed adaptive…

Disordered Systems and Neural Networks · Physics 2015-05-14 Francesco Sorrentino , Gilad Barlev , Adam B. Cohen , Edward Ott

A new functional-based approach is developed for the stability analysis of linear impulsive systems. The new method, which introduces looped-functionals, considers non-monotonic Lyapunov functions and leads to LMIs conditions devoid of…

Optimization and Control · Mathematics 2012-07-10 Corentin Briat , Alexandre Seuret

A general formulation is presented to derive the equation of motion and to demonstrate thermodynamic consistency for several classes of phase field models at once. It applies to models with a conserved phase field, describing either uniform…

Materials Science · Physics 2011-05-06 Mowei Cheng , Stefaan Cottenier , Heike Emmerich

In this paper, we study the frequency response of uncertain systems using Kharitonov stability theory on first order complex polynomial set. For an interval transfer function, we show that the minimal real part of the frequency response at…

Optimization and Control · Mathematics 2007-05-23 Long Wang

In this paper we study the continuous dependence with respect to obstacles for obstacle problems with measure data. This is deeply investigated introducing a suitable type of convergence, which gives stability under very general hypotheses.…

Functional Analysis · Mathematics 2007-05-23 Paolo Dall'Aglio

Stability analysis of switched systems, characterized by multiple operational modes and switching signals, is challenging due to their nonlinear dynamics. While frameworks such as multiple Lyapunov functions (MLF) provide a foundation for…

Systems and Control · Electrical Eng. & Systems 2026-01-05 Junyue Huang , Shaoyuan Li , Xiang Yin

In high-renewable power systems, active-power disturbances are becoming larger and exhibit increasingly diverse time scales, which complicates frequency stability assessment under unanticipated events. This paper presents a response-based…

Systems and Control · Electrical Eng. & Systems 2025-11-27 Jinhui Chen , Huadong Sun , Ping Wu , Baocai Wang , Bing Zhao

We consider the problem of embedding a dynamic network, to obtain time-evolving vector representations of each node, which can then be used to describe changes in behaviour of individual nodes, communities, or the entire graph. Given this…

Machine Learning · Statistics 2022-01-21 Ian Gallagher , Andrew Jones , Patrick Rubin-Delanchy

Persistent homology and persistent entropy have recently become useful tools for patter recognition. In this paper, we find requirements under which persistent entropy is stable to small perturbations in the input data and scale invariant.…

Information Theory · Computer Science 2020-06-22 N. Atienza , R. Gonzalez-Diaz , M. Soriano-Trigueros

This paper presents an analysis approach to finite-time attraction in probability concerns with nonlinear systems described by nonlinear random differential equations (RDE). RDE provide meticulous physical interpreted models for some…

Systems and Control · Computer Science 2016-06-15 Sina Sanjari , Mahdieh Tahmasebi

The frequency-domain properties of nonstationary functional time series often contain valuable information. These properties are characterized through its time-varying power spectrum. Practitioners seeking low-dimensional summary measures…

Methodology · Statistics 2021-03-12 Pramita Bagchi , Scott A. Bruce

The aim of this work is to study the dynamics and stability of soft shape-morphing configurations and specifically the modes of interaction between the front and rear airfoil segments. Initially we present several steady-state solutions,…

Fluid Dynamics · Physics 2018-05-08 Netanel Hassan , Shai B. Elbaz , Amir D. Gat

This paper investigates the global stability and the global asymptotic stability independent of the sizes of the delays of linear time-varying Caputo fractional dynamic systems of real fractional order possessing internal point delays. The…

Dynamical Systems · Mathematics 2010-10-18 M. De La Sen

This paper presents a practical approach for detecting non-stationarity in time series prediction. This method is called SAFE and works by monitoring the evolution of the spectral contents of time series through a distance function. This…

Machine Learning · Computer Science 2018-05-18 Arief Koesdwiady , Fakhri Karray

This study presents a physically informed hybrid time-frequency and machine learning (STFT-ML) framework for arc stability monitoring in electric arc welding systems. The primary current signal is modeled as a stochastic representation of…

Signal Processing · Electrical Eng. & Systems 2026-04-21 Tahir Cetin Akinci , Gokhan Gokmen , Alfredo A. Martinez-Morales

We develop a generalized stability framework for stochastic discrete-time systems, where the generality pertains to the ways in which the distribution of the state energy can be characterized. We use tools from finance and operations…

Systems and Control · Electrical Eng. & Systems 2022-11-23 Margaret P. Chapman , Dionysios S. Kalogerias

We show that the open-loop transfer functions and the stability margins may be defined within the recent model-free control setting. Several convincing computer experiments are presented including one which studies the robustness with…

Optimization and Control · Mathematics 2014-03-27 Michel Fliess , Cédric Join

Cubature formulas (CFs) based on radial basis functions (RBFs) have become an important tool for multivariate numerical integration of scattered data. Although numerous works have been published on such RBF-CFs, their stability theory can…

Numerical Analysis · Mathematics 2023-01-31 Jan Glaubitz , Jonah Reeger
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