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
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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
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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
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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.
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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
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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
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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
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Models and Algorithms for Optimal Piecewise-Linear Function Approximation
, 2015 Piecewise-linear functions can approximate nonlinear and unknown functions for which only sample points are available. This paper presents a range of piecewise-linear models and algorithms to aid engineers to find an approximation that fits best their ...
E. Camponogara, L. Nazari
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Parameter-dependent PWQ Lyapunov function stability criteria for uncertain piecewise linear systems [PDF]
Modeling, Identification and Control, 2018 The calculation of piecewise quadratic (PWQ) Lyapunov functions is addressed in view of stability analysis of uncertain piecewise linear dynamics. As main contribution, the linear matrix inequality (LMI) approach proposed in (Johansson and Rantzer, 1998)
Morten Hovd, Sorin Olaru
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Proliferation of non-linear excitations in the piecewise-linear perceptron
SciPost Physics, 2021 We investigate the properties of local minima of the energy landscape of a continuous non-convex optimization problem, the spherical perceptron with piecewise linear cost function and show that they are critical, marginally stable and displaying a set of
Antonio Sclocchi, Pierfrancesco Urbani
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