49 citations · 163 across the 51 of their papers we have counts for
58 papers
On the Nonexistence of Continuous Immersions for Discrete-time Systems
Eron Ristich, Eduardo Sontag, Necmiye Ozay
Understanding when linear immersions of nonlinear dynamical systems exist is important since such immersions allow us to leverage the rich tools of linear system theory to analyze…
On the Generalization Properties of Selective State-Space Models for Filtering Tasks for Unknown Systems
Alex Tang, M. Emrullah Ildiz, Batin Kurt +2
Selective State-Space Models (SSMs) such as Mamba have emerged as an alternative architecture to self-attention based transformers in sequence modeling tasks. Recent works have dem…
System Identification Under Bounded Noise: Optimal Rates Beyond Least Squares
Xiong Zeng, Jing Yu, Necmiye Ozay
System identification is a fundamental problem in control and learning, particularly in high-stakes applications where data efficiency is critical. Classical approaches, such as th…
Ankle Exoskeletons May Hinder Standing Balance in Simple Models of Older and Younger Adults
Daphna Raz, Varun Joshi, Brian R. Umberger +1
Humans rely on ankle torque to maintain standing balance, particularly in the presence of small to moderate perturbations. Reductions in maximum torque (MT) production and maximum…
A Simulation Preorder for Koopman-like Lifted Control Systems
Antoine Aspeel, Necmiye Ozay
This paper introduces a simulation preorder among lifted systems, a generalization of finite-dimensional Koopman approximations (also known as approximate immersions) to systems wi…
Properties of Immersions for Systems with Multiple Limit Sets with Implications to Learning Koopman Embeddings
Zexiang Liu, Necmiye Ozay, Eduardo D. Sontag
Linear immersions (such as Koopman eigenfunctions) of a nonlinear system have wide applications in prediction and control. In this work, we study the properties of linear immersion…