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A multi-phase-field model for the description of the discontinuous precipitation reaction is formulated which takes into account surface diffusion along grain boundaries and interfaces as well as volume diffusion. Simulations reveal that…

Materials Science · Physics 2008-09-04 Lynda Amirouche , Mathis Plapp

Sensitivity to noise makes most of the current quantum computing schemes prone to error and nonscalable, allowing only for small proof-of-principle devices. Topologically-protected quantum computing aims at solving this problem by encoding…

Disordered Systems and Neural Networks · Physics 2013-12-17 Helmut G. Katzgraber , Ruben S. Andrist

This paper addresses the problem of reaching consensus under input saturation and intermittent communication, which can hinder the convergence of the system. We propose a method that translates the consensus into an equivalent stability…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Thales C. Silva , M. Ani Hsieh

In this paper we report that notions of topological protection can be applied to stationary configurations that are driven far from equilibrium by active, dissipative processes. We show this for physically two disparate cases : stochastic…

Statistical Mechanics · Physics 2022-06-08 Kinjal Dasbiswas , Kranthi K. Mandadapu , Suriyanarayanan Vaikuntanathan

Output feedback stabilization of control systems is a crucial issue in engineering. Most of these systems are not uniformly observable, which proves to be a difficulty to move from state feedback stabilization to dynamic output feedback…

Optimization and Control · Mathematics 2020-06-19 Ludovic Sacchelli , Lucas Brivadis , Vincent Andrieu , Ulysse Serres , Jean-Paul Gauthier

The adoption of cyber-physical systems (CPS) is on the rise in complex physical environments, encompassing domains such as autonomous vehicles, the Internet of Things (IoT), and smart cities. A critical attribute of CPS is robustness,…

Systems and Control · Electrical Eng. & Systems 2024-03-27 Changjian Zhang , Parv Kapoor , Romulo Meira-Goes , David Garlan , Eunsuk Kang , Akila Ganlath , Shatadal Mishra , Nejib Ammar

In the context of large-scale networks, the consideration of faults is an evident necessity. This document is focussing on the self-stabilizing approach which aims at conceiving algorithms "repairing themselves" in case of transient faults,…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-10 Lélia Blin

Maintaining an acceptable level of quality of service in modern complex systems is challenging, particularly in the presence of various forms of uncertainty caused by changing execution context, unpredicted events, etc. Although…

Software Engineering · Computer Science 2020-12-04 Fatma Kachi , Chafia Bouanaka , Souheir Merkouche

The emergence of stable disordered patterns in reactive system on spatially homogenous substrate is studied in the context of vegetation patterns in the semi-arid climatic zone. It is shown that reaction-diffusion systems that allow for…

Pattern Formation and Solitons · Physics 2009-11-11 Alon Manor , Nadav M. Shnerb

State space subspace algorithms for input-output systems have been widely applied but also have a reasonably well-developedasymptotic theory dealing with consistency. However, guaranteeing the stability of the estimated system matrix is a…

Systems and Control · Electrical Eng. & Systems 2024-08-19 Xinhui Rong , Victor Solo

Bayesian calibration of computer models tunes unknown input parameters by comparing outputs with observations. For model outputs that are distributed over space, this becomes computationally expensive because of the output size. To overcome…

Methodology · Statistics 2018-10-05 Kai-Lan Chang , Serge Guillas

Model Predictive Control (MPC) is a powerful control strategy; however, its reliance on online optimization poses significant challenges for implementation on systems with limited computational resources. One possible approach to address…

Optimization and Control · Mathematics 2025-02-19 Hassan Jafari Ozoumchelooei , Mehdi Hosseinzadeh

Reaction-diffusion processes across layered media arise in several scientific domains such as pattern-forming E. coli on agar substrates, epidermal-mesenchymal coupling in development, and symmetry-breaking in cell polarisation. We develop…

Pattern Formation and Solitons · Physics 2020-09-18 Andrew L. Krause , Václav Klika , Jacob Halatek , Paul K. Grant , Thomas E. Woolley , Neil Dalchau , Eamonn A. Gaffney

In this paper we establish a necessary and sufficient stability condition for a stochastic ring network. Such networks naturally appear in a variety of applications within communication, computer, and road traffic systems. They typically…

Probability · Mathematics 2023-09-04 Jaap Storm , Wouter Kager , Michel Mandjes , Sem Borst

Self-stabilization is a general paradigm to provide forward recovery capabilities to distributed systems and networks. Intuitively, a protocol is self-stabilizing if it is able to recover without external intervention from any catastrophic…

Data Structures and Algorithms · Computer Science 2008-11-25 Stéphane Devismes , Toshimitsu Masuzawa , Sébastien Tixeuil

Assessment of the degree of boundedness/stability of multidimensional nonlinear systems with time-dependent and nonperiodic coefficients is an important problem in various applied areas which has no adequate resolution yet. Most of the…

Dynamical Systems · Mathematics 2022-06-07 Mark A. Pinsky

Multiparty sessions with asynchronous communications and global types play an important role for the modelling of interaction protocols in distributed systems. In designing such calculi the aim is to enforce, by typing, good properties for…

Logic in Computer Science · Computer Science 2023-06-22 Francesco Dagnino , Paola Giannini , Mariangiola Dezani-Ciancaglini

We explore set-stabilizability by constrained controls, and both controllability and stabilizability can be regarded as the special case of set-stabilizability. We not only clarify how to define an equilibrium point of Schr$\ddot{o}$dinger…

Quantum Physics · Physics 2014-01-21 Ming Zhang , Zairong Xi , Tzyh-Jong Tarn

We investigate the stabilization of unstable multidimensional partially observed single-sensor and multi-sensor linear systems driven by unbounded noise and controlled over discrete noiseless channels under fixed-rate information…

Optimization and Control · Mathematics 2012-09-21 Andrew P. Johnston , Serdar Yüksel

A recurrent task in coordinated systems is managing (estimating, predicting, or controlling) signals that vary in space, such as distributed sensed data or computation outcomes. Especially in large-scale settings, the problem can be…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-14 Roberto Casadei , Stefano Mariani , Danilo Pianini , Mirko Viroli , Franco Zambonelli