1. I. K. Ozaslan, P. Patrinos, and M. R. Jovanovic. Stability of primal-dual gradient flow dynamics for multi-block convex optimization problems. IEEE Trans. Automat. Control, 2024. Note: Submitted; also arXiv:2408.15969. Keyword(s): Augmented Lagrangian, Exponential convergence, Distributed optimization, Global exponential stability, Gradient flow dynamics, Method of multipliers, Non-smooth optimization, Operator splitting, Primal-dual gradient flow dynamics, Proximal algorithms, Proximal augmented Lagrangian, Regularization for design. [bibtex-entry]

1. I. K. Ozaslan and M. R. Jovanovic. Exponential convergence of primal-dual dynamics for multi-block problems under local error bound condition. In Proceedings of the 61th IEEE Conference on Decision and Control, Cancun, Mexico, pages 7579-7584, 2022. Keyword(s): Gradient flow dynamics, Lyapunov functions, Proximal algorithms, Primal-dual gradient flow dynamics, Primal-dual methods, Proximal augmented Lagrangian, Operator splitting. [bibtex-entry]

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