Publications related to Lyapunov stability

Vertically Aligned 2D/3D Pb-Sn Perovskites with Enhanced Charge Extraction and Suppressed Phase Segregation for Efficient Printable Solar Cells

Mohammad Khaja Nazeeruddin, Fei Guo, Xuehui Liu, Chaohui Li, Shi Chen

The concept of mixed 2D/3D heterostructures has emerged as an effective method for improving the stability of lead halide perovskite solar cells, which has been, however, rarely reported in lead-tin (Pb-Sn) mixed perovskite devices. Here, we report a scala ...

2020

Spontaneously Self-Assembly of a 2D/3D Heterostructure Enhances the Efficiency and Stability in Printed Perovskite Solar Cells

Mohammad Khaja Nazeeruddin, Fei Guo, Xuehui Liu, Chaohui Li, Chuan Wang

As perovskite solar cells (PSCs) are highly efficient, demonstration of high-performance printed devices becomes important. 2D/3D heterostructures have recently emerged as an attractive way to relieving the film inhomogeneity and instability in perovskite ...

2020

Boundary Stabilization of Focusing NLKG near Unstable Equilibria: Radial Case

Joachim Krieger, Shengquan Xiang

We investigate the stability and stabilization of the cubic focusing Klein-Gordon equation around static solutions on the closed ball in

\mathbb{R}^3

. First we show that the system is linearly unstable near the static solution

u\equiv1

for any dissipat ...

2020

Anisotropy and shaping effects on the stability boundaries of infernal ideal MHD modes in tokamak hybrid plasmas

Jonathan Graves, Wilfred Anthony Cooper, Daniele Brunetti

Anisotropy and some limiting toroidal flow effects on the stability of nearly resonant ideal magnetohydrodynamic modes in hybrid shaped tokamak plasmas are investigated within the ideal MHD infernal mode framework. Such effects are found to alter the plasm ...

2020

Second-order sensitivity in the cylinder wake: Optimal spanwise-periodic wall actuation and wall deformation

François Gallaire, Edouard Boujo, Andrea Fani

Two-dimensional (2D) flows can be controlled efficiently using spanwise "waviness," i.e., a control (e.g., wall blowing and suction or wall deformation) that is periodic in the spanwise direction. This study tackles the global linear stability of 2D flows ...

AMER PHYSICAL SOC2019

Stability Analysis of Primary Plug-and-Play and Secondary Leader-Based Controllers for DC Microgrid Clusters

Giancarlo Ferrari Trecate, Michele Tucci, Andrea Martinelli, Renke Han

In this paper, we propose a new hierarchical control scheme for microgrid (MG) clusters, given by the interconnection of atomic dc MGs with ZIP loads, each composed by both grid-forming and grid-feeding converters. In the primary level, we develop a new Pl ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2019

Bound and Conquer: Improving Triangulation by Enforcing Consistency

Martin Vetterli, Adam James Scholefield, Alireza Ghasemi

We study the accuracy of triangulation in multi-camera systems with respect to the number of cameras. We show that, under certain conditions, the optimal achievable reconstruction error decays quadratically as more cameras are added to the system. Furtherm ...

2019

Avoidance of Convex and Concave Obstacles with Convergence ensured through Contraction

Aude Billard, Lukas Huber

This paper presents a closed-form approach to obstacle avoidance for multiple moving convex and star-shaped concave obstacles. The method takes inspiration in harmonic-potential fields. It inherits the convergence properties of harmonic potentials. We prov ...

2019

Low-Rank Updates And A Divide-And-Conquer Method For Linear Matrix Equations

Daniel Kressner, Stefano Massei

Linear matrix equations, such as the Sylvester and Lyapunov equations, play an important role in various applications, including the stability analysis and dimensionality reduction of linear dynamical control systems and the solution of partial differentia ...

SIAM PUBLICATIONS2019

On the finite-size Lyapunov exponent for the Schröedinger operator with skew-shift potential

Marius Christopher Lemm

It is known that a one-dimensional quantum particle is localized when subjected to an arbitrarily weak random potential. It is conjectured that localization also occurs for an arbitrarily weak potential generated from the nonlinear skew-shift dynamics: $v_ ...

2019

Lyapunov stability

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Vertically Aligned 2D/3D Pb-Sn Perovskites with Enhanced Charge Extraction and Suppressed Phase Segregation for Efficient Printable Solar Cells

Spontaneously Self-Assembly of a 2D/3D Heterostructure Enhances the Efficiency and Stability in Printed Perovskite Solar Cells

Boundary Stabilization of Focusing NLKG near Unstable Equilibria: Radial Case

Anisotropy and shaping effects on the stability boundaries of infernal ideal MHD modes in tokamak hybrid plasmas

Second-order sensitivity in the cylinder wake: Optimal spanwise-periodic wall actuation and wall deformation

Stability Analysis of Primary Plug-and-Play and Secondary Leader-Based Controllers for DC Microgrid Clusters

Bound and Conquer: Improving Triangulation by Enforcing Consistency

Avoidance of Convex and Concave Obstacles with Convergence ensured through Contraction

Low-Rank Updates And A Divide-And-Conquer Method For Linear Matrix Equations

On the finite-size Lyapunov exponent for the Schröedinger operator with skew-shift potential

Avoidance of Convex and Concave Obstacles with Convergence ensured through Contraction

On the finite-size Lyapunov exponent for the Schröedinger operator with skew-shift potential

Vertically Aligned 2D/3D Pb-Sn Perovskites with Enhanced Charge Extraction and Suppressed Phase Segregation for Efficient Printable Solar Cells

Spontaneously Self-Assembly of a 2D/3D Heterostructure Enhances the Efficiency and Stability in Printed Perovskite Solar Cells

Boundary Stabilization of Focusing NLKG near Unstable Equilibria: Radial Case

Anisotropy and shaping effects on the stability boundaries of infernal ideal MHD modes in tokamak hybrid plasmas

Second-order sensitivity in the cylinder wake: Optimal spanwise-periodic wall actuation and wall deformation

Bound and Conquer: Improving Triangulation by Enforcing Consistency

Stability Analysis of Primary Plug-and-Play and Secondary Leader-Based Controllers for DC Microgrid Clusters

Low-Rank Updates And A Divide-And-Conquer Method For Linear Matrix Equations