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Numerical stability of coupled differential equation with piecewise constant arguments [PDF]
, 2020 This paper deals with the stability of numerical solutions for a coupled differential equation with piecewise constant arguments. A sufficient condition such that the system is asymptotically stable is derived. Furthermore, when the linear θ-method
Wang, Qi, Qi Wang
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Algorithms for network piecewise-linear programs [PDF]
, 1994 In this paper a subarea of Piecewise-Linear Programming named network Piecewise-Linear Programming (NPLP) is discussed. Initially the problem formulation, main efinitins and related Concepts are presented.
Machado, A, Marins, F A S, Perin, C
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Joint segmentation of piecewise constant autoregressive processes by using a hierarchical model and a Bayesian sampling approach [PDF]
, 2006 We propose a joint segmentation algorithm for piecewise constant autoregressive (AR) processes recorded by several independent sensors. The algorithm is based on a hierarchical Bayesian model.
Davy, Manuel +2 more
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Boundness and Linearisation of a Class of Differential Equations with Piecewise Constant Argument [PDF]
Qualitative Theory of Dynamical Systems, 2018 The differential equations with piecewise constant argument (DEPCAs, for short) is a class of hybrid dynamical systems (combining continuous and discrete). In this paper, under the assumption that the nonlinear term is partially unbounded, we study the bounded solution and global topological linearisation of a class of DEPCAs of general type.
Changwu Zou +4 more
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NGMV control of delayed piecewise affine systems [PDF]
, 2010 A Nonlinear Generalized Minimum Variance (NGMV) control algorithm is introduced for the control of piecewise affine (PWA) systems. Under some conditions, discrete-time PWA systems can be transferred into an equivalent state-dependent nonlinear system ...
Pang, Y., Grimble, Michael
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Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this work, using discontinuous almost periodic type functions, exponential dichotomy and the notion of Bi-almost automorphicity we give sufficient conditions to obtain a unique almost automorphic solution of a quasilinear system of differential ...
Alan Chávez +2 more
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Universal Journal of Mathematics and Applications, 2022 The paper discusses the analytical stability and numerical stability of differential equations with piecewise constant arguments with matrix coefficients.
Qi Wang, Hefan Yin
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Stability in cellular neural networks with a piecewise constant argument
Journal of Computational and Applied Mathematics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marat U. Akhmet +2 more
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State dependent NGMV control of delayed piecewise affine systems [PDF]
, 2009 A Nonlinear Generalized Minimum Variance (NGMV) control algorithm is introduced for the control of delayed piecewise affine (PWA) systems which are an important subclass of hybrid systems.
Grimble, M.J. +5 more
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Oscillatory and Nonoscillatory Delay Equations with Piecewise Constant Argument
Journal of Mathematical Analysis and Applications, 2000 The authors consider the linear delay differential equation with piecewise constant deviating argument of the form \[ y'(t)+ a(t)y(t)+b(t)y([t-1])=0,\quad t\geq 0, \tag{1} \] where \(a(t),\;b(t)\) are continuous functions on \([-1,\infty),\;b(t)\geq 0(\not\equiv 0)\) for \(t\geq 0\), and \([\cdot ]\) denotes the greatest integer function.
Shen, J. H., Stavroulakis, I. P.
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