Exploring the suitability of piecewise-linear dynamical system models for cognitive neural dynamics [PDF]
Frontiers in NeuroscienceDynamical system models have proven useful for decoding the current brain state from neural activity. So far, neuroscience has largely relied on either linear models or non-linear models based on artificial neural networks (ANNs).
Jiemin Wu +6 more
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Approximate controllability of second order infinite dimensional systems [PDF]
Archives of Control Sciences, 2021 In the paper approximate controllability of second order infinite dimensional system with damping is considered. Applying linear operators in Hilbert spaces general mathematical model of second order dynamical systems with damping is presented.
Jerzy Klamka, Asatur Zh. Khurshudyan
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Output Stabilization of Linear Systems in Given Set
Mathematics, 2023 This paper presents a method for designing control laws to achieve output stabilization of linear systems within specified sets, even in the presence of unknown bounded disturbances. The approach consists of two stages.
Ba Huy Nguyen, Igor B. Furtat
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Extending the extended dynamic mode decomposition with latent observables: the latent EDMD framework
Machine Learning: Science and Technology, 2023 Bernard O Koopman proposed an alternative view of dynamical systems based on linear operator theory, in which the time evolution of a dynamical system is analogous to the linear propagation of an infinite-dimensional vector of observables.
Said Ouala +4 more
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Controllability of damped dynamical systems modelled by Hilfer fractional derivatives
Journal of Taibah University for Science, 2022 In this article, we investigate the controllability of damped dynamical system modelled by Hilfer derivative of fractional order [Formula: see text] and [Formula: see text].
S. Naveen +3 more
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Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator
IEEE Access, 2022 This paper presents a model-free fault detection and isolation (FDI) method for nonlinear dynamical systems using Koopman operator theory and linear geometric technique.
Mohammadhosein Bakhtiaridoust +3 more
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The Strong Stability of Optimal Nonlinear Dynamical System in Batch Fermentation
Journal of Mathematics, 2022 For the bio-dissimilation of glycerol to 1,3-propanediol by Klebsiella pneumoniae, the nonlinear dynamical system of the complex metabolism in microbial batch fermentation is studied in this study.
Hongli Wang +3 more
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Supression of mechanical oscillations in a nonlinear systems with restriction
Lietuvos Matematikos Rinkinys, 2023 The application of the dynamical dampers in the mechanical systems, when the sources of stimulation are impossible to abolish, is one of the ways to fight against the harmful vibrations.
Genovaitė Zaksienė
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Sufficient Conditions for Observability in Electrocardiography Problem
Tikrit Journal of Pure Science, 2023 The aim of this paper, is to study electrical cardiography problem. Thus, we construct the state space system of this model as mathematical model. Moreover, we present some definitions and results which is described some concepts of linear control ...
Raheam. A. Mansor Al-Saphory
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Dissipative Deep Neural Dynamical Systems
IEEE Open Journal of Control Systems, 2022 In this paper, we provide sufficient conditions for dissipativity and local asymptotic stability of discrete-time dynamical systems parametrized by deep neural networks.
Jan Drgona +3 more
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