4 papers
Frequency Response Identification of Low-Order Systems: Finite-Sample Analysis
Arya Honarpisheh, Mario Sznaier
This paper proposes a frequency-domain estimator for low-order systems from repeated noisy measurements. The estimator minimizes a quadratic data-fitting term regularized by the nu…
Time-Varying Perturbations of Contractive Systems With an Application to Safe Stabilization
Andreas Oliveira, Arya Honarpisheh, Mustafa Bozdag +1
Perturbation theory for asymptotically stable systems has received sustained attention, leading to many criteria that preserve stability under uncertainty. A limitation of classica…
Generalization Error Analysis for Selective State-Space Models Through the Lens of Attention
Arya Honarpisheh, Mustafa Bozdag, Octavia Camps +1
State-space models (SSMs) have recently emerged as a compelling alternative to Transformers for sequence modeling tasks. This paper presents a theoretical generalization analysis o…
Safe Control for Pursuit-Evasion with Density Functions
Mustafa Bozdag, Arya Honarpisheh, Mario Sznaier
This letter presents a density function based safe control synthesis framework for the pursuit-evasion problem. We extend safety analysis to dynamic unsafe sets by formulating a re…