Waveforms for Gravitational Radiation from Cosmic String Loops [PDF]
, 2000 We obtain general formulae for the plus- and cross- polarized waveforms of gravitational radiation emitted by a cosmic string loop in transverse, traceless (synchronous, harmonic) gauge.
A. Vilenkin +19 more
core +3 more sources
Equivariant Perturbation in Gomory and Johnson's Infinite Group Problem. I. The One-Dimensional Case [PDF]
, 2012 We give an algorithm for testing the extremality of minimal valid functions for Gomory and Johnson's infinite group problem that are piecewise linear (possibly discontinuous) with rational breakpoints.
R.E. Gomory +6 more
core +4 more sources
Piecewise-Linear Approximations of Multidimensional Functions [PDF]
Journal of Optimization Theory and Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Misener, R, Floudas, CA
openaire +3 more sources
Study of the Dynamics of a Class of One-dimensional Piecewise Linear Displays with One Gap
Моделирование и анализ информационных систем, 2017 In the paper, the dynamics of a class of one-dimensional piecewise linear displays with one gap is studied. Stable conditions of equilibrium as well as other attractors are found by numerical methods.
Grigorii A. Akhremenko
doaj +1 more source
A generalized approach for implicit time integration of piecewise linear/nonlinear systems
International Journal of Mechanical System Dynamics, 2021 A generalized solution scheme using implicit time integrators for piecewise linear and nonlinear systems is developed. The piecewise linear characteristic has been well‐discussed in previous studies, in which the original problem has been transformed ...
Huimin Zhang +3 more
doaj +1 more source
Chaotifying 2-D piecewise-linear maps via a piecewise-linear controller function [PDF]
Nonlinear Oscillations, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elhadj, Z., Sprott, J.C.
openaire +3 more sources
Convex Optimal Uncertainty Quantification [PDF]
, 2015 Optimal uncertainty quantification (OUQ) is a framework for numerical extreme-case analysis of stochastic systems with imperfect knowledge of the underlying probability distribution.
Han, Shuo +4 more
core +3 more sources
Lower Bounds on Complexity of Lyapunov Functions for Switched Linear Systems [PDF]
, 2015 We show that for any positive integer $d$, there are families of switched linear systems---in fixed dimension and defined by two matrices only---that are stable under arbitrary switching but do not admit (i) a polynomial Lyapunov function of degree $\leq
Ahmadi, Amir Ali, Jungers, Raphael
core +2 more sources
Piecewise quadratic Lyapunov functions for stability verification of approximate explicit MPC [PDF]
Modeling, Identification and Control, 2010 Explicit MPC of constrained linear systems is known to result in a piecewise affine controller and therefore also piecewise affine closed loop dynamics.
Morten Hovd, Sorin Olaru
doaj +1 more source
A hybrid bin scheme to solve the condensation/evaporation equation using a cubic distribution function [PDF]
Atmospheric Chemistry and Physics, 2012 A computationally efficient method is proposed to replace the piecewise linear number distribution in a hybrid bin scheme with a piecewise cubic polynomial.
T. Dinh, D. R. Durran
doaj +1 more source