Dynamical systems coupled with monotone set-valued operators: Formalisms, applications, well-posedness, and stability

B Brogliato, A Tanwani - Siam Review, 2020 - SIAM
This survey article addresses the class of continuous-time systems where a system modeled
by ordinary differential equations is coupled with a static or time-varying set-valued operator …

[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 …

Optimization of supply chain networks with inclusion of labor: Applications to COVID-19 pandemic disruptions

A Nagurney - International Journal of Production Economics, 2021 - Elsevier
In this paper, we respond to the COVID-19 pandemic by constructing supply chain network
optimization models, which explicitly include labor as an important variable in the network …

Initialization-free distributed algorithms for optimal resource allocation with feasibility constraints and application to economic dispatch of power systems

P Yi, Y Hong, F Liu - Automatica, 2016 - Elsevier
In this paper, the distributed resource allocation optimization problem is investigated. The
allocation decisions are made to minimize the sum of all the agents' local objective functions …

A passivity-based approach to Nash equilibrium seeking over networks

D Gadjov, L Pavel - IEEE Transactions on Automatic Control, 2018 - ieeexplore.ieee.org
In this paper, we consider the problem of distributed Nash equilibrium (NE) seeking over
networks, a setting in which players have limited local information on the others' decisions …

New trends in general variational inequalities

MA Noor, KI Noor, MT Rassias - Acta Applicandae Mathematicae, 2020 - Springer
It is well known that general variational inequalities provide us with a unified, natural, novel
and simple framework to study a wide class of unrelated problems, which arise in pure and …

Image reconstruction in circular cone-beam computed tomography by constrained, total-variation minimization

EY Sidky, X Pan - Physics in Medicine & Biology, 2008 - iopscience.iop.org
An iterative algorithm, based on recent work in compressive sensing, is developed for
volume image reconstruction from a circular cone-beam scan. The algorithm minimizes the …

[LIBRO][B] Population games and evolutionary dynamics

WH Sandholm - 2010 - books.google.com
A systematic, rigorous, comprehensive, and unified overview of evolutionary game theory.
This text offers a systematic, rigorous, and unified presentation of evolutionary game theory …

[LIBRO][B] Network economics

A Nagurney - 2009 - Wiley Online Library
Throughout history, networks have provided the foundations by which humans have
conducted their economic activities. Transportation and logistical networks make possible …

Discontinuous dynamical systems

J Cortes - IEEE Control systems magazine, 2008 - ieeexplore.ieee.org
This article has presented an introductory tutorial on discontinuous dynamical systems.
Various examples illustrate the pertinence of the continuity and Lipschitzness properties that …