Results 1 to 10 of about 2,529 (224)
Mathematics, 2021 This paper proves that the controller design for switched singularly perturbed systems can be synthesized from the controllers of individual slow–fast subsystems. Under the switching rules of individual slow–fast subsystems, switched singularly perturbed
Chun-Tang Chao +2 more
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Mathematics, 2021 An infinite-bound stabilization of a system modeled as singularly perturbed bilinear systems is examined. First, we present a Lyapunov equation approach for the stabilization of singularly perturbed bilinear systems for all ε∈(0, ∞).
Ding-Horng Chen +2 more
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Is exponential stability achievable in singular perturbed delayed systems with time-varying parameters? A comprehensive analysis [PDF]
HeliyonThe present article conducts an investigation into the phenomenon of exponential stability within singular perturbed delayed systems, incorporating time-varying parameters.
Ran Chen +3 more
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Algorithm for solution of systems of singularly perturbed differential equations with adifferential turning point [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2023 The dynamic development of science requires constant improvement of approaches to modeling physical processes and phenomena. Practically all scientific problems can be described by systems of differential equations. Many scientific problems are described
Valentyn Sobchuk +2 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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CONSTRUCTION OF STABILITY AREAS FOR CONTROLLED SYSTEMS WITH PARAMETRIC AND DYNAMIC UNCERTAINTY
Сучасний стан наукових досліджень та технологій в промисловості, 2021 The subject of research in the article is sigularly perturbed controllable systems of differential equations containing terms with a small parameters on the right-hand side, which are not completely known, but only satisfy some constraints.
Alla Savranska, Oleksandr Denisenko
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Alexandria Engineering Journal, 2023 The Hénon map was introduced by Hénon. It is a very rich dynamical model as Hénon himself proved and compared the dynamical properties of his map with those of other dynamical systems such as the Ro¨ssler model.
A.M.A. El-Sayed +2 more
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Periodic Solutions in Slowly Varying Discontinuous Differential Equations: The Generic Case
Mathematics, 2021 We study persistence of periodic solutions of perturbed slowly varying discontinuous differential equations assuming that the unperturbed (frozen) equation has a non singular periodic solution.
Flaviano Battelli, Michal Fečkan
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Asymptotic methods for solving boundary value eigenvalue problems [PDF]
E3S Web of Conferences, 2020 The aim of the study is an approximate construction with a given accuracy of solutions of boundary value problems for eigenvalues under various types of boundary conditions.
Zhukova Galina
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Neural Network-Based Adaptive Tracking Control for a Class of Nonlinear Singularly Perturbed Systems
IEEE Access, 2019 In this paper, the neural network-based adaptive tracking control method is addressed for a class of multi-input affine unknown nonlinear singularly perturbed systems.
Hao Wang, Chunyu Yang, Song Zhu
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