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Motivated by the increasing need to hedge against load and generation uncertainty in the operation of power grids, we propose flexibility maximization during operation. We consider flexibility explicitly as the amount of uncertainty that…

Optimization and Control · Mathematics 2025-01-27 Aron Zingler , Stephane Fliscounakis , Patrick Panciatici , Alexander Mitsos

Exact characterization of phase transitions requires sufficient configurational sampling, necessitating efficient and accurate potential energy surfaces. Molecular force fields with computational efficiency and physical interpretability are…

Statistical Mechanics · Physics 2025-10-21 Bin Jin , Bin Han , Wei Feng , Kuang Yu , Shenzhen Xu

Parametrized polynomial ordinary differential equation systems are broadly used for modeling, specially in the study of biochemical reaction networks under the assumption of mass-action kinetics. Understanding the qualitative behavior of…

Molecular Networks · Quantitative Biology 2018-10-15 Elisenda Feliu

We consider a scenario where a system experiences a disruption, and the states (representing health values) of its components continue to reduce over time, unless they are acted upon by a controller. Given this dynamical setting, we…

Systems and Control · Computer Science 2020-04-09 Hemant Gehlot , Shreyas Sundaram , Satish V. Ukkusuri

We study the throughput-vs-delay trade-off in an overlay multi-channel single-secondary-user cognitive radio system. Due to the limited sensing capabilities of the cognitive radio user, channels are sensed sequentially. Maximizing the…

Information Theory · Computer Science 2016-12-28 Ahmed Ewaisha , Cihan Tepedelenlioglu

This paper presents an online adaptive learning solution to optimal synchronization control problem of heterogeneous multi-agent systems via a novel distributed policy iteration approach.

Systems and Control · Electrical Eng. & Systems 2020-11-12 Yuanqiang Zhou , Dewei Li , Furong Gao

In many real-world oscillator systems, the phase response curves are highly heterogeneous. However, dynamics of heterogeneous oscillator networks has not been seriously addressed. We propose a theoretical framework to analyze such a system…

Pattern Formation and Solitons · Physics 2009-11-13 Yasuhiro Tsubo , Jun-nosuke Teramae , Tomoki Fukai

A multi-pole, multi-zero design allowed realizing a "true" phase-shifter (not time-delayer) of flat frequency-response over more than 3 decades (30Hz-100kHz), which can be extended to higher frequencies or broader bands thanks to a modular…

Instrumentation and Detectors · Physics 2013-03-01 M. A. Bitar , A. Gallo , F. A. Volpe

We introduce a class of $n$-dimensional (possibly inhomogeneous) spin-like lattice systems presenting modulated phases with possibly different textures. Such systems can be parameterized according to the number of ground states, and can be…

Statistical Mechanics · Physics 2021-06-11 Andrea Braides , Marco Cicalese

We study the dynamics of phase synchronization in growing populations of discrete phase oscillatory systems when the division process is coupled to the distribution of oscillator phases. Using mean field theory, linear stability analysis,…

Statistical Mechanics · Physics 2015-06-16 Wen Yu , Kevin B. Wood

We propose a novel method to reconstruct phase dynamics equations from responses in macroscopic variables to weak inputs. Developing linear and nonlinear response theories in coupled phase-oscillators, we derive formulae which connect the…

Adaptation and Self-Organizing Systems · Physics 2023-01-06 Yoshiyuki Y. Yamaguchi , Yu Terada

In this paper we consider different model reduction techniques for systems with moving loads. Due to the time-dependency of the input and output matrices, the application of time-varying projection matrices for the reduction offers new…

Dynamical Systems · Mathematics 2016-07-12 Maria Cruz Varona , Boris Lohmann

A general system of particles (of one or several species) on a one dimensional lattice with boundaries is considered. Two general behaviors of such systems are investigated. The stationary behavior of the system, and the dominant way of the…

Statistical Mechanics · Physics 2015-06-24 Mohammad Khorrami , Amir Aghamohammadi

Distributed optimization finds many applications in machine learning, signal processing, and control systems. In these real-world applications, the constraints of communication networks, particularly limited bandwidth, necessitate…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Mohammadreza Doostmohammadian , Sérgio Pequito

Dynamic treatment regimes formalize precision medicine as a sequence of decision rules, one for each stage of clinical intervention, that map current patient information to a recommended intervention. Optimal regimes are typically defined…

Methodology · Statistics 2024-07-09 Kyle Duke , Eric B. Laber , Marie Davidian , Michael Newcomb , Brian Mustanksi

We study the problem of robust influence maximization in dynamic diffusion networks. In line with recent works, we consider the scenario where the network can undergo insertion and removal of nodes and edges, in discrete time steps, and the…

Databases · Computer Science 2024-12-17 Arkaprava Saha , Bogdan Cautis , Xiaokui Xiao , Laks V. S. Lakshmanan

We extend the stationary-state work fluctuation theorem to periodically modulated nonlinear systems. Such systems often have coexisting stable periodic states. We show that work fluctuations sharply increase near a kinetic phase transition…

Statistical Mechanics · Physics 2009-11-13 M. I. Dykman

This work introduces a methodology for studying synchronization in adaptive networks with heterogeneous plasticity (adaptation) rules. As a paradigmatic model, we consider a network of adaptively coupled phase oscillators with…

Dynamical Systems · Mathematics 2021-06-25 Rico Berner , Serhiy Yanchuk

We prove a sufficient stochastic maximum principle for the optimal control of a regime-switching diffusion model. We show the connection to dynamic programming and we apply the result to a quadratic loss minimization problem, which can be…

Optimization and Control · Mathematics 2014-01-31 Catherine Donnelly

A computer simulation has to be fast to be helpful, if it is employed to study the behavior of a multicomponent dynamic system. This paper discusses modeling concepts and algorithmic techniques useful for creating such fast simulations.…

Data Structures and Algorithms · Computer Science 2007-05-23 Boris D. Lubachevsky