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A detailed analysis of necessary conditions on a family of many-body potentials, which ensure stability, superstability or strong superstability of a statistical system is given in present work.There has been given also an example of…

Mathematical Physics · Physics 2008-05-09 Maksym Tertychnyi

Typically, it is desirable to design a control system that is not only robustly stable in the presence of parametric uncertainties but also guarantees an adequate level of system performance. However, most of the existing methods need to…

Optimization and Control · Mathematics 2020-08-25 Jun Ma , Haiyue Zhu , Masayoshi Tomizuka , Tong Heng Lee

We study the dynamical stability of holographic superconductors. We first classify perturbations around black hole background solutions into vector and scalar sectors by means of a 2-dimensional rotational symmetry. We prove the stability…

High Energy Physics - Theory · Physics 2010-10-27 Sugumi Kanno , Jiro Soda

Contact-drop dispensing is central to many small-scale applications, such as direct-scanning probe lithography and micromachined fountain-pen techniques. Accurate and controllable dispensing required for nanometer-resolved surface…

Soft Condensed Matter · Physics 2015-05-28 Amir Akbari , Reghan J. Hill , Theo G. M. van de Ven

Dynamic stability is imperative for the operation of the electric power system. This article provides analytical results and effective stability criteria focusing on the interplay of network structures and the local dynamics of synchronous…

Adaptation and Self-Organizing Systems · Physics 2024-06-19 Philipp C. Böttcher , Dirk Witthaut , Leonardo Rydin Gorjão

The use of available disturbance predictions within a nominal model predictive control formulation is studied. The main challenge that arises is the loss of recursive feasibility and stability guarantees when a persistent disturbance is…

Systems and Control · Computer Science 2018-07-31 Pablo R Baldivieso-Monasterios , Paul A. Trodden

This course introduces key aspects of superconducting magnet technology in accelerators: basic principles, superconducting materials (NbTi, Nb$_3$Sn, ReBCO), wire and cable architectures, and fabrication methods. Compared to copper or…

Accelerator Physics · Physics 2026-02-24 Stephane Sanfilippo

In superconductors, the motion of vortices introduces unwanted dissipation that is disruptive to applications. Fortunately, material defects can immobilize vortices, acting as vortex pinning centers, which engenders dramatic improvements in…

Superconductivity · Physics 2021-09-14 Serena Eley , Andreas Glatz , Roland Willa

Stability certification and identifying a safe and stabilizing initial set are two important concerns in ensuring operational safety, stability, and robustness of dynamical systems. With the advent of machine-learning tools, these issues…

Machine Learning · Computer Science 2022-09-01 Soumyabrata Talukder , Ratnesh Kumar

Transient stability is crucial to the reliable operation of power systems. Existing theories rely on the simplified electromechanical models, substituting the detailed electromagnetic dynamics of inductor and capacitor with their impedance…

Systems and Control · Electrical Eng. & Systems 2025-02-17 Xinyuan Jiang , Constantino M. Lagoa , Yan Li

Stability properties of magnetic-field configurations containing the toroidal and axial field are considered. The stability is treated by making use of linear analysis. It is shown that the conditions required for the onset of instability…

Astrophysics · Physics 2009-11-13 Alfio Bonanno , Vadim Urpin

As the amount of volatile, renewable energy sources in power distribution grids is increasing, the stability of the latter is a vital aspect for grid operators. Within the STABEEL project, the authors develop rules on how to parametrize the…

Systems and Control · Electrical Eng. & Systems 2022-10-03 Sebastian Krahmer , Stefan Ecklebe , Peter Schegner , Klaus Röbenack

Superconducting properties of metallic nano-wires may strongly depend on specific experimental conditions. Here we consider a setup where superconducting phase fluctuations are restricted at one point inside the wire and equilibrium…

Superconductivity · Physics 2020-09-03 Alexey Radkevich , Andrew G. Semenov , Andrei D. Zaikin

In electric power systems delivering alternating current, it is essential to maintain its synchrony of the phase with the rated frequency. The synchronization stability that quantifies how well the power-grid system recovers its synchrony…

Physics and Society · Physics 2019-10-24 Heetae Kim , Mi Jin Lee , Sang Hoon Lee , Seung-Woo Son

Roll-wave trains constitutes a well-known two-phase flow regime in pipes. There exists a one-parameter family of steady roll-wave train solutions, provided the flow conditions are within the roll-wave range. This means that wave train…

Fluid Dynamics · Physics 2018-11-29 Andreas Holm Akselsen

Stability and causality are studied for linear perturbations about equilibrium in Carter's multifluid theory. Our stability analysis is grounded on the requirement that the entropy of the multifluid, plus that of the environment, must be…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Lorenzo Gavassino

This paper addresses stability issues of DC networks with constant power loads (CPL). Common DC networks, such as automotive electrical systems and DC microgrids, typically have a step-up/down converter connected in one side to the main bus…

Optimization and Control · Mathematics 2015-03-31 Gustavo Cezar , Ram Rajagopal , Baosen Zhang

Magnet-superconductor hybrid heterostructures constitute a promising candidate system for the quantum engineering of chiral topological superconductivity. Here, we investigate the stability of their topological phases in the presence of…

Superconductivity · Physics 2019-12-11 Eric Mascot , Chaitra Agrahar , Stephan Rachel , Dirk K. Morr

As modern engineering systems grow in complexity, attitudes toward a modular design approach become increasingly more favorable. A key challenge to a modular design approach is the certification of robust stability under uncertainties in…

Optimization and Control · Mathematics 2019-03-22 Soumya Kundu , Wei Du , Sai Pushpak Nandanoori , Frank Tuffner , Kevin Schneider

An input-output approach to stability analysis is explored for networked systems with uncertain link dynamics. The main result consists of a collection of integral quadratic constraints, which together imply robust stability of the…

Systems and Control · Electrical Eng. & Systems 2024-11-22 Simone Mariano , Michael Cantoni
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