50 citations · 63 across the 12 of their papers we have counts for
12 papers
Scalable iterative Gramian synthesis for control-affine systems
Zongxi Yu, Cyprien Tamekue, Ruiqi Chen +1
This article presents a scalable implementation of nonlinear Gramian-based control synthesis for control-affine systems, including a minimum energy control construction. These synt…
Minimal time for null controllability of the parabolic spherical Baouendi-Grushin equation
Cyprien Tamekue
We study null controllability for the parabolic equation on endowed with its canonical almost-Riemannian structure. For a spherical crown , where $0…
Minimum-Energy Control For Control-Affine Systems
Cyprien Tamekue, Zongxi Yu, ShiNung Ching
Fixed-horizon minimum-energy control for control-affine systems rarely admits closed-form formulas beyond the linear setting. In this article, under the assumption of unconstrained…
Control of neural field equations with step-function inputs
Cyprien Tamekue, ShiNung Ching
Wilson-Cowan and Amari-type models capture nonlinear neural population dynamics, providing a fundamental framework for modeling how sensory and other exogenous inputs shape activit…
Control analysis and synthesis for general control-affine systems
Cyprien Tamekue, ShiNung Ching
We study controllability and constructive synthesis for control-affine systems. We introduce trajectory-dependent Gramian maps that extend the linear time-varying Gramian and yield…
On the control of recurrent neural networks using constant inputs
Cyprien Tamekue, Ruiqi Chen, ShiNung Ching
This paper investigates the controllability of a broad class of recurrent neural networks widely used in theoretical neuroscience, including models of large-scale human brain dynam…
Prescribed exponential stabilization of scalar neutral differential equations: Application to neural control
Cyprien Tamekue, Islam Boussaada, Karim Trabelsi
This paper presents a control-oriented delay-based modeling approach for the exponential stabilization of a scalar neutral functional differential equation, which is then applied t…
Reproducibility via neural fields of visual illusions induced by localized stimuli
Cyprien Tamekue, Dario Prandi, Yacine Chitour
This paper focuses on the modeling of experiments conducted by Billock and Tsou [V. A. Billock and B. H. Tsou, Proc. Natl. Acad. Sci. USA, 104 (2007), pp. 8490--8495] using an Amar…
Cortical origins of MacKay-type visual illusions: A case for the non-linearity
Cyprien Tamekue, Dario Prandi, Yacine Chitour
To study the interaction between retinal stimulation by redundant geometrical patterns and the cortical response in the primary visual cortex (V1), we focus on the MacKay effect (N…
Reproducing sensory induced hallucinations via neural fields
Cyprien Tamekue, Dario Prandi, Yacine Chitour
Understanding sensory-induced cortical patterns in the primary visual cortex V1 is an important challenge both for physiological motivations and for improving our understanding of…
Existence of an equilibrium for delayed neural fields under output proportional feedback
Lucas Brivadis, Cyprien Tamekue, Antoine Chaillet +1
Recently, [2] proved that the closed-loop system resulting from the output proportional feedback stabilization of a class of delayed neural fields is input-to-state stable (ISS) fo…
Null controllability of the parabolic spherical Grushin equation
Cyprien Tamekue
We investigate the null controllability property of the parabolic equation associated with the Grushin operator defined by the canonical almost-Riemannian structure on the 2-dimens…