Time-varying convex optimization: Time-structured algorithms and applications

A Simonetto, E Dall'Anese, S Paternain… - Proceedings of the …, 2020 - ieeexplore.ieee.org
Optimization underpins many of the challenges that science and technology face on a daily
basis. Recent years have witnessed a major shift from traditional optimization paradigms …

[HTML][HTML] Optimization algorithms as robust feedback controllers

A Hauswirth, Z He, S Bolognani, G Hug… - Annual Reviews in Control, 2024 - Elsevier
Mathematical optimization is one of the cornerstones of modern engineering research and
practice. Yet, throughout all application domains, mathematical optimization is, for the most …

[책][B] Implicit functions and solution map**s

AL Dontchev, RT Rockafellar - 2009 - Springer
The preparation of this second edition of our book was triggered by a rush of fresh
developments leading to many interesting results. The text has significantly been enlarged …

A class of prediction-correction methods for time-varying convex optimization

A Simonetto, A Mokhtari, A Koppel… - IEEE Transactions …, 2016 - ieeexplore.ieee.org
This paper considers unconstrained convex optimization problems with time-varying
objective functions. We propose algorithms with a discrete time-sampling scheme to find and …

Time-varying quadratic-programming-based error redefinition neural network control and its application to mobile redundant manipulators

L Zheng, Z Zhang - IEEE Transactions on Automatic Control, 2021 - ieeexplore.ieee.org
By incorporating the redefined error monitor function into the network design, an error
redefinition neural network (ERNN) is proposed to control mobile redundant manipulators to …

Online feedback equilibrium seeking

G Belgioioso, D Liao-McPherson… - … on Automatic Control, 2024 - ieeexplore.ieee.org
This article proposes a unifying design framework for dynamic feedback controllers that track
solution trajectories of time-varying generalized equations, such as local minimizers of …

Time-distributed optimization for real-time model predictive control: Stability, robustness, and constraint satisfaction

D Liao-McPherson, MM Nicotra, I Kolmanovsky - Automatica, 2020 - Elsevier
Time-distributed optimization is an implementation strategy that can significantly reduce the
computational burden of model predictive control. When using this strategy, optimization …

[HTML][HTML] General four-step discrete-time zeroing and derivative dynamics applied to time-varying nonlinear optimization

Y Zhang, L He, C Hu, J Guo, J Li, Y Shi - Journal of Computational and …, 2019 - Elsevier
Time-varying nonlinear optimization (TVNO) problems are considered as important issues in
various scientific disciplines and industrial applications. In this paper, the continuous-time …

Prediction-correction algorithms for time-varying constrained optimization

A Simonetto, E Dall'Anese - IEEE Transactions on Signal …, 2017 - ieeexplore.ieee.org
This paper develops online algorithms to track solutions of time-varying constrained
optimization problems. Particularly, resembling workhorse Kalman filtering-based …

Decentralized prediction-correction methods for networked time-varying convex optimization

A Simonetto, A Koppel, A Mokhtari… - … on Automatic Control, 2017 - ieeexplore.ieee.org
We develop algorithms that find and track the optimal solution trajectory of time-varying
convex optimization problems that consist of local and network-related objectives. The …