Articles with "perturbed systems" as a keyword



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Coordination of networked delayed singularly perturbed systems with antagonistic interactions and switching topologies

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Published in 2017 at "Nonlinear Dynamics"

DOI: 10.1007/s11071-017-3483-4

Abstract: This paper studies the bipartite consensus issue of networked delayed singularly perturbed systems with antagonistic interactions and switching topologies. Each singularly perturbed system contains both fast and slow dynamics as well as time-varying delay, which… read more here.

Keywords: singularly perturbed; perturbed systems; antagonistic interactions; delayed singularly ... See more keywords
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Mixed-mode oscillations for slow-fast perturbed systems

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Published in 2021 at "Physica Scripta"

DOI: 10.1088/1402-4896/ac3957

Abstract: This article concerns the dynamics of mixed-mode oscillations (MMOs) emerging from the calcium-based inner hair cells (IHCs) model in the auditory cortex. The paper captures the MMOs generation mechanism based on the geometric singular perturbation… read more here.

Keywords: mixed mode; mode oscillations; perturbed systems; analysis ... See more keywords
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Neural Network-Based Adaptive Tracking Control for a Class of Nonlinear Singularly Perturbed Systems

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Published in 2019 at "IEEE Access"

DOI: 10.1109/access.2019.2908276

Abstract: 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. Based on the Lyapunov stability theorem and by utilizing the neural networks… read more here.

Keywords: neural network; network based; singularly perturbed; based adaptive ... See more keywords
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On One Method of Solving Singularly Perturbed Systems of Tikhonov’s Type

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Published in 2018 at "Russian Mathematics"

DOI: 10.3103/s1066369x18060038

Abstract: To investigate Tikhonov systems arising in problems of control theory we apply the method of holomorphic regularization, which allows one to obtain solutions to singularly perturbed problems in the form of series converging in the… read more here.

Keywords: singularly perturbed; systems tikhonov; method solving; perturbed systems ... See more keywords