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Singularly Perturbed Semilinear Robin Problems
Studies in Applied Mathematics, 1982Several phenomena of current interest in catalytic reaction theory can be phrased in terms of solutions of singularly perturbed, second‐order, semilinear differential equations satisfying boundary conditions of Robin type. This paper offers a mathematical theory for such problems in both the scalar and the vector case, and treats some examples ...
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A Singularly Perturbed Control of an Epitaxy Oven
IFAC Proceedings Volumes, 1983Abstract A method of singular perturbations is used to synthesize a closed loop sub-optimal control of an epitaxy oven in the liquid phase. A method is proposed for transforming the distributed parameter equations modeling the process in a set of singularly perturbed state equations.
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On a Class of Singularly Perturbed Parabolic Equations
ZAMM, 2001Summary: A method of matched asymptotic expansions has been used to construct an \(n\)-term uniformly valid approximate solution for an initial-value problem of a linear singularly perturbed parabolic equation exhibiting an internal layer behavior. It is shown that each internal layer function caused by a non-smooth initial data can be described by an \
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Finite-Time Fuzzy Control for Nonlinear Singularly Perturbed Systems With Input Constraints
IEEE Transactions on Fuzzy Systems, 2022Wei Xing Zheng, Shengyuan Xu
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A novel ε-dependent Lyapunov function and its application to singularly perturbed systems
Automatica, 2021Wei Xing Zheng +2 more
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Sensor fault detection based on fuzzy singularly perturbed model
International Journal of Systems Science, 2022Jinxiang Chen, Xisheng Li
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Stabilization bound of singularly perturbed systems subject to actuator saturation
Automatica, 2013Chunyu Yang, Xiaoping Ma
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H∞ control for singularly perturbed systems
Automatica, 1998Wen Tan, Tinpui Leung, Qili Tu
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Stability and stabilization for singularly perturbed systems with Markovian jumps
International Journal of Robust and Nonlinear Control, 2020Guoliang Wang
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