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This paper introduces a formal method to model the level of demand on control when executing cognitive processes. The cost of cognitive control is parsed into an intensity cost which encapsulates how much additional input information is…

Neurons and Cognition · Quantitative Biology 2017-06-02 Kayhan Ozcimder , Biswadip Dey , Sebastian Musslick , Giovanni Petri , Nesreen K. Ahmed , Theodore L. Willke , Jonathan D. Cohen

Coherence is intrinsically related to projective measurement. When the fixed projective measurement involves higher-rank projectors, the coherence resource is referred to as block coherence, which comes from the superposition of orthogonal…

Quantum Physics · Physics 2024-07-29 Yu-Hui Wang , Li-Hang Ren , Ming-Liang Hu , Yan-Kui Bai

We introduce a general model for the balance-sheet consistent valuation of interbank claims within an interconnected financial system. Our model represents an extension of clearing models of interdependent liabilities to account for the…

Risk Management · Quantitative Finance 2020-06-03 Paolo Barucca , Marco Bardoscia , Fabio Caccioli , Marco D'Errico , Gabriele Visentin , Guido Caldarelli , Stefano Battiston

This paper proposes a new methodology to maximize the feasible set of power injections and cross-border power transfers in meshed multi-area power systems. The approach used polyhedral computation schemes and is an extension to the classic…

Optimization and Control · Mathematics 2015-11-03 Alexander Fuchs , Marc Scherer , Göran Andersson

In this paper, we propose a model predictive control based operation strategy that allows for power exchange between interconnected microgrids. Particularly, the approach ensures that each microgrid benefits from power exchange with others.…

Systems and Control · Computer Science 2023-11-14 A. K. Sampathirao , S. Hofmann , J. Raisch , C. A. Hans

We address the problem of load shaping within a network of coupled microgrids (MGs) in a bilevel optimisation framework. To this end, we consider the charging/discharging rates of residential energy storage devices within each MG on the…

Optimization and Control · Mathematics 2022-05-17 Philipp Sauerteig

In this paper we present a framework to efficiently characterize the available operational flexibility in a multi-area power system. We focus on the available reserves and the tie-line flows. The proposed approach is an alternative to the…

Systems and Control · Computer Science 2016-11-15 Matthias Bucher , Spyros Chatzivasileiadis , Göran Andersson

A methodology is developed to quantify the transfer and transport of kinetic energy of specific scales associated with coherent structures. Coherent motions are characterized by the triple decomposition of a multi-scale flow and used to…

Fluid Dynamics · Physics 2021-12-17 Daniel Foti

Characterising the capacity region for a network can be extremely difficult. Even with independent sources, determining the capacity region can be as hard as the open problem of characterising all information inequalities. The majority of…

Information Theory · Computer Science 2016-07-12 Satyajit Thakor , Terence Chan , Alex Grant

First, we investigate the trade-off relations of quantum battery capacities in two-qubit system. We find that the sum of subsystem battery capacity is governed by the total system capacity, with this trade-off relation persisting for a…

Quantum Physics · Physics 2025-12-18 Yiding Wang , Xiaofen Huang , Shao-Ming Fei , Tinggui Zhang

We investigate the abrupt breakdown behavior of coupled distribution grids under load growth. This scenario mimics the ever-increasing customer demand and the foreseen introduction of energy hubs interconnecting the different energy…

Motivated by various benefits of multi-energy integration, this paper establishes a bi-level framework based on transactive control to realize energy optimization among multiple interconnected energy hubs (EHs). A storage-energy-equivalent…

Optimization and Control · Mathematics 2019-02-05 Yizhi Cheng , Peichao Zhang

To reduce greenhouse gas emissions, many countries plan to massively expand wind power and solar photovoltaic capacities. These variable renewable energy sources require additional flexibility in the power sector. Both geographical…

General Economics · Economics 2023-07-13 Alexander Roth , Wolf-Peter Schill

This paper considers the allocation of time slots in a frame, as well as power and rate to multiple receivers on an energy harvesting downlink. Energy arrival times that will occur within the frame are known at the beginning of the frame.…

Networking and Internet Architecture · Computer Science 2015-03-20 Neyre Tekbiyik , Tolga Girici , Elif Uysal-Biyikoglu , Kemal Leblebicioglu

The interconnection network is a crucial subsystem in High-Performance Computing clusters and Data-centers, guaranteeing high bandwidth and low latency to the applications' communication operations. Unfortunately, congestion situations may…

Networking and Internet Architecture · Computer Science 2025-02-04 Jose Rocher-Gonzalez , Jesus Escudero-Sahuquillo , Pedro J. Garcia , Francisco J. Quiles

The auction theory literature has so far focused mostly on the design of mechanisms that takes the revenue or the efficiency as a yardstick. However, scenarios where the {\it capacity}, which we define as \textit{``the number of bidders the…

Computer Science and Game Theory · Computer Science 2007-11-13 Sudhir Kumar Singh , Vwani P. Roychowdhury

We present a method to quantify a system's resilience capacity, i.e., the set of degradation magnitudes for which all functional requirements remain satisfied. These requirements come from human stakeholders (e.g., operators, planners) who…

Optimization and Control · Mathematics 2026-04-15 Ion Matei , Maksym Zhenirovskyy

The tandem fluid queueing model is a useful tool for performance analysis and control design for a variety of transportation systems. In this article, we study the joint impact of stochastic capacity and spillback on the long-time…

Optimization and Control · Mathematics 2019-05-07 Li Jin , Saurabh Amin

By considering quantum computation as a communication process, we relate its efficiency to a communication capacity. This formalism allows us to rederive lower bounds on the complexity of search algorithms. It also enables us to link the…

Quantum Physics · Physics 2009-11-06 S. Bose , L. Rallan , V. Vedral

Energy storage (ES) and virtual energy storage (VES) are key components to realizing power system decarbonization. Although ES and VES have been proven to deliver various types of grid services, little work has so far provided a…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Ning Qi , Peng Li , Lin Cheng , Ziyi Zhang , Wenrui Huang , Weiwei Yang