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Identifying and understanding modular organizations is centrally important in the study of complex systems. Several approaches to this problem have been advanced, many framed in information-theoretic terms. Our treatment starts from the…

Adaptation and Self-Organizing Systems · Physics 2015-01-19 Artemy Kolchinsky , Luis M. Rocha

A procedure to characterize chaotic dynamical systems with concepts of complex networks is pursued, in which a dynamical system is mapped onto a network. The nodes represent the regions of space visited by the system, while edges represent…

Statistical Mechanics · Physics 2011-12-20 Ernesto P. Borges , Daniel O. Cajueiro , Roberto F. S. Andrade

The study of controlled hybrid systems requires practical tools for approximation and comparison of system behaviors. Existing approaches to these problems impose undue restrictions on the system's continuous and discrete dynamics.…

Optimization and Control · Mathematics 2015-04-15 Samuel Burden , Humberto Gonzalez , Ramanarayan Vasudevan , Ruzena Bajcsy , S. Shankar Sastry

Reaction systems are discrete dynamical systems inspired by bio-chemical processes, whose dynamical behaviour is expressed by set-theoretic operations on finite sets. Reaction systems thus provide a description of bio-chemical phenomena…

Formal Languages and Automata Theory · Computer Science 2020-08-05 Alberto Dennunzio , Enrico Formenti , Luca Manzoni , Antonio E. Porreca

Neural networks are powerful tools for data-driven modeling of complex dynamical systems, enhancing predictive capability for control applications. However, their inherent nonlinearity and black-box nature challenge control designs that…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Xiao Li , Tianhao Wei , Changliu Liu , Anouck Girard , Ilya Kolmanovsky

Energy and pollution are urging problems of the 21th century. By gradually changing the actual power grid system, smart grid may evolve into different systems by means of size, elements and strategies, but its fundamental requirements and…

Optimization and Control · Mathematics 2025-12-19 Soufian Ben Amor , Alain Bui , Guillaume Guerard

Control of a dynamical system without the knowledge of dynamics is an important and challenging task. Modern machine learning approaches, such as deep neural networks (DNNs), allow for the estimation of a dynamics model from control inputs…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Suruchi Sharma , Volodymyr Makarenko , Gautam Kumar , Stas Tiomkin

Unlike computation or the numerical analysis of differential equations, simulation does not have a well established conceptual and mathematical foundation. Simulation is an arguable unique union of modeling and computation. However,…

adap-org · Physics 2008-02-03 Steen Rasmussen , Christopher Barrett

In this document, some novel theoretical and computational techniques for constrained approximation of data-driven systems, are presented. The motivation for the development of these techniques came from structure-preserving matrix…

Optimization and Control · Mathematics 2019-07-22 Fredy Vides

Many current challenges involve understanding the complex dynamical interplay between the constituents of systems. Typically, the number of such constituents is high, but only limited data sources on them are available. Conventional…

Populations and Evolution · Quantitative Biology 2021-12-17 Jana C. Massing , Thilo Gross

An emerging branch of control theory specialises in certificate learning, concerning the specification of a desired (possibly complex) system behaviour for an autonomous or control model, which is then analytically verified by means of a…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Alec Edwards , Andrea Peruffo , Alessandro Abate

The purpose of the research presented in this article is to develop a dynamic system for forecasting and minimizing the risks of an industrial company based on their quantitative assessment. The article considers the conceptual apparatus of…

Risk Management · Quantitative Finance 2022-02-02 Denis S. Gusev , Elena G. Demidova , Olga A. Novikova

Smart grid technological advances present a recent class of complex interdisciplinary modeling and increasingly difficult simulation problems to solve using traditional computational methods. To simulate a smart grid requires a systemic…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-26 Sofiane Ben Amor , Guillaume Guerard , Loup-Noé Levy

When designing systems that are complex, dynamic and stochastic in nature, simulation is generally recognised as one of the best design support technologies, and a valuable aid in the strategic and tactical decision making process. A…

Neural and Evolutionary Computing · Computer Science 2013-05-30 Peer-Olaf Siebers , Uwe Aickelin

This special issue collects contributions from the participants of the "Information in Dynamical Systems and Complex Systems" workshop, which cover a wide range of important problems and new approaches that lie in the intersection of…

Chaotic Dynamics · Physics 2015-05-19 Erik M. Bollt , Jie Sun

We describe a method to analyze and decompose the dynamics of a control system on a Lie group subject to symmetries. The method is based on the concept of generalized Young symmetrizers of representation theory. It naturally applies to the…

Quantum Physics · Physics 2020-10-05 Domenico D'Alessandro , Jonas T. Hartwig

Network science has experienced unprecedented rapid development in the past two decades. The network perspective has also been widely applied to explore various complex systems in great depth. In the first decade, fundamental…

Physics and Society · Physics 2020-01-13 Aming Li , Yang-Yu Liu

Health management of complex dynamic systems has traditionally evolved separately from automated control, planning, and scheduling (generally referred to in the paper as decision making). A goal of Integrated System Health Management has…

Artificial Intelligence · Computer Science 2019-03-12 Edward Balaban , Stephen B. Johnson , Mykel J. Kochenderfer

It is shown how regular model sets can be characterized in terms of regularity properties of their associated dynamical systems. The proof proceeds in two steps. First, we characterize regular model sets in terms of a certain map $\beta$…

Dynamical Systems · Mathematics 2019-07-17 Michael Baake , Daniel Lenz , Robert V. Moody

The robust disturbance rejection controller has been the subject of intensive research due to its undeniable importance for automation. Modern control theory tends to use model-based approaches versus model-free approaches, especially when…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Atta Oveisi