On the global exponential stability of primal-dual dynamics for convex problems with linear equality constraints

IK Ozaslan, MR Jovanović - 2023 American Control …, 2023 - ieeexplore.ieee.org
We examine global exponential stability of the primal-dual gradient flow dynamics for
differentiable convex problems with linear equality constraints. We show that if the set of …

Exponential convergence of primal-dual dynamics for multi-block problems under local error bound condition

IK Ozaslan, MR Jovanović - 2022 IEEE 61st Conference on …, 2022 - ieeexplore.ieee.org
We study composite optimization problems in which the objective function is given by the
sum of a smooth strongly convex term and multiple, potentially non-differentiable, convex …

Stability of Primal-Dual Gradient Flow Dynamics for Multi-Block Convex Optimization Problems

IK Ozaslan, P Patrinos, MR Jovanović - arxiv preprint arxiv:2408.15969, 2024 - arxiv.org
We examine stability properties of primal-dual gradient flow dynamics for composite convex
optimization problems with multiple, possibly nonsmooth, terms in the objective function …