Results 11 to 20 of about 1,207 (185)
Event-Based State Estimation for Networked Singularly Perturbed Complex Networks
Complexity, 2022 This paper deals with the multievent-triggering-based state estimation for a class of discrete-time networked singularly perturbed complex networks (SPCNs). A small singularly perturbed scalar is adopted to establish a discrete-time SPCNs model.
Zerong Ren
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Frontiers in Applied Mathematics and Statistics, 2022 Despite the availability of an abundant literature on singularly perturbed problems, interest toward non-linear problems has been limited. In particular, parameter-uniform methods for singularly perturbed semilinear problems are quasi-non-existent.
Olawale O. Kehinde +2 more
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Singularly perturbed linear oscillator with piecewise-constant argument
Вестник КазНУ. Серия математика, механика, информатика, 2018 The Cauchy problem for singularly perturbed linear differential equation the second order with piecewise-constant argument is considered in the article.
M. U. Akhmet +3 more
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Robust numerical method for singularly perturbed differential equations having both large and small delay [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – The purpose of this study is to develop stable, convergent and accurate numerical method for solving singularly perturbed differential equations having both small and large delay.
Habtamu Garoma Debela
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A numerical technique for solving nonlinear singularly perturbed delay differential equations
Mathematical Modelling and Analysis, 2018 This paper presents a numerical technique for solving nonlinear singularly perturbed delay differential equations. Quasilinearization technique is applied to convert the nonlinear singularly perturbed delay differential equation into a sequence of linear
A.S.V. Ravi Kanth, Mohan Kumar P. Murali
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Singularly Perturbed Piecewise Deterministic Games [PDF]
SIAM Journal on Control and Optimization, 2008 In this paper we consider a class of hybrid stochastic games with the piecewise open-loop information structure. These games are indexed over a parameter $\varepsilon$ which represents the time scale ratio between the stochastic (jump process) and the deterministic (differential state equation) parts of the dynamical system. We study the limit behavior
Haurie, Alain, Moresino, Francesco
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The Cauchy problem for singularly perturbed higher-order integro-differential equations
Вестник КазНУ. Серия математика, механика, информатика, 2019 The article is devoted to research the Cauchy problem for singularly perturbed higher-order linear integro-differential equation with a small parameter at the highest derivatives, provided that the roots of additional characteristic equation have ...
A. E. Mirzakulova +3 more
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Alexandria Engineering Journal, 2023 The dynamical properties of a class of difference equations with continuous arguments of the form x(t)=g(x(t-r1),x(t-r2)) and its singularly perturbed counterpart ∊dxdt=-x(t)+g(x(t-r1),x(t-r2)) are investigated here.
A.M.A. EL-Sayed +2 more
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Computing singularly perturbed differential equations [PDF]
Journal of Computational Physics, 2018 A computational tool for coarse-graining nonlinear systems of ordinary differential equations in time is discussed. Three illustrative model examples are worked out that demonstrate the range of capability of the method. This includes the averaging of Hamiltonian as well as dissipative microscopic dynamics whose `slow' variables, defined in a precise ...
Sabyasachi Chatterjee +2 more
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Exponential stability for singularly perturbed systems with state delays
Electronic Journal of Qualitative Theory of Differential Equations, 2000 In this paper the problem of stability of the zero solution of singularly perturbed system of linear differential equation with state delays is investigated.
V. Dragan, A. Ionita
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