Nassim Athmouni

collaborators

3 papers

math.SP2026

The cost rate of nonlinear remote stabilization on the Aubry--AndrÃ© lattice: a reflected off-spectral exponent and the sharp identity for almost every phase

Nassim Athmouni, Nejib Brahmia, Ahmed Hachani

We study the exponential rate $r (I^\pm, I^»)$ of the energy $E_{N}$ needed to steer a far site, at distance $N$ , of an Aubry--AndrÃ© chain $H_{I^} »$ via one boundary actuator with…

math.OC2026

Operator-Norm Transfer and Cohomological Rigidity for Quaternionic Quasi-Lie Structures with Application to Sliding Mode $I^^{2}$ -Exponential Stability

Nassim Athmouni, Nejib Brahmia, Tarek Fajraoui +1

We develop operator-theoretic and cohomological tools for quaternionic quasi-Lie structures, with sliding mode control as a motivating application. Three main results are establish…

math.FA2026

Local Lie Theory in Quasi-Banach Lie Algebras: Convergence of the BCH Series and Geometric Implications

Nassim Athmouni, Mohsen Ben Abdallah, Mondher Damak +3

We develop a local Lie theory for Lie algebras equipped with a quasi-norm, i.e., complete topological vector spaces satisfying a relaxed triangle inequality $\|x+y\|\le \Ctri(\|x\|…

The cost rate of nonlinear remote stabilization on the Aubry--AndrÃ© lattice: a reflected off-spectral exponent and the sharp identity for almost every phase

Operator-Norm Transfer and Cohomological Rigidity for Quaternionic Quasi-Lie Structures with Application to Sliding Mode I^2-Exponential Stability

Local Lie Theory in Quasi-Banach Lie Algebras: Convergence of the BCH Series and Geometric Implications

Operator-Norm Transfer and Cohomological Rigidity for Quaternionic Quasi-Lie Structures with Application to Sliding Mode $I^^{2}$ -Exponential Stability