3 papers
eess.SY2026
Discrete Homogeneity and Quantizer Design for Nonlinear Homogeneous Control Systems
Yu Zhou, Andrey Polyakov, Gang Zheng +1
This paper proposes a framework for analysis of generalized homogeneous control systems under state quantization. In particular, it addresses the challenge of maintaining finite/fi…
math.OC2025
First-Order Projected Algorithms With the Same Linear Convergence Rate Bounds as Their Unconstrained Counterparts
Mengmou Li, Ioannis Lestas, Masaaki Nagahara
In this paper, we propose a systematic approach for extending first-order optimization algorithms, originally designed for unconstrained strongly convex problems, to handle closed…
math.OC2024
Exponential Convergence of Augmented Primal-dual Gradient Algorithms for Partially Strongly Convex Functions
Mengmou Li, Masaaki Nagahara
We show that the augmented primal-dual gradient algorithms can achieve global exponential convergence with partially strongly convex functions. In particular, the objective functio…