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The Contrast Structures for a Class of Singularly Perturbed Systems with Heteroclinic Orbits
Discrete Dynamics in Nature and Society, 2016 Singularly perturbed problems are often used as the models of ecology and epidemiology. In this paper, a class of semilinear singularly perturbed systems with contrast structures are discussed.
Han Xu, Yinlai Jin
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Complexity, 2021 This study focuses on the static output feedback control of nonlinear Markov jump singularly perturbed systems within the framework of Takagi–Sugeno fuzzy approximation. From a practical point of view, the phenomenon of asynchronous switching between the
Baogang Ding +3 more
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Mathematical Modelling and Analysis, 2019 In this paper, we define a new type of string stability based on Mittag-Leffler function so-called Mittag-Leffler (p\alpha)-string stability. This kind of stability for a class of singularly perturbed stochastic systems of fractional order will be ...
Khosro Sayevand
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Stability bound analysis of singularly perturbed systems with time-delay [PDF]
Chemical Industry and Chemical Engineering Quarterly, 2013 This paper considers the stability bound problem of singularly perturbed systems with time-delay. Some stability criteria are derived by constructing appropriate Lyapunov-Krasovskii functionals.
Sun Fengqi +3 more
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On Step-Like Contrast Structure of Singularly Perturbed Systems
Boundary Value Problems, 2009 The existence of a step-like contrast structure for a class of high-dimensional singularly perturbed system is shown by a smooth connection method based on the existence of a first integral for an associated system.
Mingkang Ni, Zhiming Wang
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Journal of Control Science and Engineering, 2016 The maximum power point tracking problem of variable-speed wind turbine systems is studied in this paper. The wind conversion systems contain both mechanical part and electromagnetic part, which means the systems have time scale property.
Yan Zhang +3 more
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Second Order Eigensensitivities of Singularly Perturbed Systems
Journal of King Saud University: Engineering Sciences, 1994 In this paper, second order eigenvalue sensitivities are derived with respect to the singular perturbation parameter whose variation changes the reduced system order.
Zaglol S. Elrazaz, Awadh A. Al-Digs
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, 2012 Link to a related website: https://digital.library.adelaide.edu.au/dspace/bitstream/2440/77907/1/hdl_77907.pdf, Open Access via UnpaywallThis paper discusses an infinite-horizon linear quadratic (LQ) optimal control problem involving state- and control ...
Shi, Peng +5 more
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Semiclassical states for non-cooperative singularly perturbed fractional Schrödinger systems
Boundary Value Problems, 2022 We study the following non-cooperative type singularly perturbed systems involving the fractional Laplacian operator: { ε 2 s ( − Δ ) s u + a ( x ) u = g ( v ) , in R N , ε 2 s ( − Δ ) s v + a ( x ) v = f ( u ) , in R N , $$ \textstyle\begin{cases ...
Suhong Li +3 more
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Singularly Perturbed Networked Control Systems
IFAC-PapersOnLine, 2018 We study networked control systems (NCSs) where the controller is given by a state-feedback law and the plant is modeled by a dynamical system evolving on two time-scales, representing a characterization by some slow and fast dynamics. When using the stability analysis frameworks for NCSs from the literature, this time-scale separation is ignored and ...
Heijmans, SHJ +3 more
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