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This paper demonstrates how certified computational tools can be used to address various problems in control theory. In particular, we introduce PACE.jl, a Julia package that implements symbolic elimination techniques, including (among…

符号计算 · 计算机科学 2025-05-15 Alexander Demin , Christina Katsamaki , Fabrice Rouillier

Simulation of non-adiabatic dynamics of a quantum system coupled to dissipative environments poses significant challenges. New sophisticated methods are regularly being developed with an eye towards moving to larger systems and more…

量子物理 · 物理学 2023-06-07 Amartya Bose

Formal control synthesis approaches over stochastic systems have received significant attention in the past few years, in view of their ability to provide provably correct controllers for complex logical specifications in an automated…

系统与控制 · 计算机科学 2016-02-04 Majid Zamani , Ilya Tkachev , Alessandro Abate

PowerDynamics.jl is a Julia package for time-domain modeling of power grids that is specifically designed for the stability analysis of systems with high shares of renewable energies. It makes use of Julia's state-of-the-art differential…

系统与控制 · 电气工程与系统科学 2021-12-15 Anton Plietzsch , Raphael Kogler , Sabine Auer , Julia Merino , Asier Gil-de-Muro , Jan Liße , Christina Vogel , Frank Hellmann

OptControl.jl(OptControl) implements that modeling optimal control problems with symbolic algebra system based on Julia language, and generates the corresponding numerical optimization codes to solve them with packages from Julia.…

最优化与控制 · 数学 2022-08-02 Jingyi Yang , Yuebao Yang , Mingtao Li

NetworkDynamics.jl is an easy-to-use and computationally efficient package for working with heterogeneous dynamical systems on complex networks, written in Julia, a high-level, high-performance, dynamic programming language. By combining…

Finite-state models of control systems were proposed by several researchers as a convenient mechanism to synthesize controllers enforcing complex specifications. Most techniques for the construction of such symbolic models have two main…

最优化与控制 · 数学 2011-10-11 Majid Zamani , Giordano Pola , Manuel Mazo , Paulo Tabuada

This paper studies the construction of dynamic symbolic abstractions for nonlinear control systems via dynamic quantization. Since computational complexity is a fundamental problem in the use of discrete abstractions, a dynamic quantizer…

系统与控制 · 电气工程与系统科学 2020-11-26 Wei Ren , Dimos V. Dimarogonas

HarmonicBalance.jl is a publicly available Julia package designed to simplify and solve systems of periodic time-dependent nonlinear ordinary differential equations. Time dependence of the system parameters is treated with the harmonic…

介观与纳米尺度物理 · 物理学 2022-05-18 Jan Košata , Javier del Pino , Toni L. Heugel , Oded Zilberberg

Combustion kinetic modeling is an integral part of combustion simulation, and extensive studies have been devoted to developing both high fidelity and computationally affordable models. Despite these efforts, modeling combustion kinetics is…

Discrete abstractions of continuous and hybrid systems have recently been the topic of great interest from both the control systems and the computer science communities, because they provide a sound mathematical framework for analysing and…

最优化与控制 · 数学 2010-06-16 Giordano Pola , Alessandro Borri , Maria D. Di Benedetto

The paradigm of Cyber-Physical Systems of Systems (CPSoS) is becoming rather popular in the control systems research community because of its expressive power able to properly handle many engineered complex systems of interest.…

最优化与控制 · 数学 2016-06-16 Giordano Pola , Pierdomenico Pepe , Maria D. Di Benedetto

As control systems grow in complexity, abstraction-based methods have become essential for designing controllers with formal guarantees. However, a key limitation of these methods is their reliance on discrete-time models, typically…

系统与控制 · 电气工程与系统科学 2025-09-18 Adrien Janssens , Adrien Banse , Julien Calbert , Raphaël M. Jungers

Control systems are usually modeled by differential equations describing how physical phenomena can be influenced by certain control parameters or inputs. Although these models are very powerful when dealing with physical phenomena, they…

最优化与控制 · 数学 2008-01-14 Giordano Pola , Antoine Girard , Paulo Tabuada

The method of synthetic controls is widely used for evaluating causal effects of policy changes in settings with observational data. Often, researchers aim to estimate the causal impact of policy interventions on a treated unit at an…

计量经济学 · 经济学 2025-01-17 Florian Gunsilius , David Van Dijcke

Symbolic control is an abstraction-based controller synthesis approach that provides, algorithmically, certifiable-by-construction controllers for cyber-physical systems. Symbolic control approaches usually assume that full-state…

系统与控制 · 电气工程与系统科学 2022-11-01 Mahmoud Khaled , Kuize Zhang , Majid Zamani

An algorithm is presented that formalizes different steps in a classical Supersymmetric (SUSY) calculation. Based on the algorithm Dill, a symbolic software package, that can perform the calculations, is developed in the Mathematica…

高能物理 - 唯象学 · 物理学 2009-10-28 Vladan Lucic

Dual control denotes a class of control problems where the parameters governing the system are imperfectly known. The challenge is to find the optimal balance between probing, i.e. exciting the system to understand it more, and caution,…

最优化与控制 · 数学 2020-04-29 Martin Péron , Christopher M. Baker , Barry D. Hughes , Iadine Chadès

Scorio.jl is a Julia package for evaluating and ranking systems from repeated responses to shared tasks. It provides a common tensor-based interface for direct score-based, pairwise, psychometric, voting, graph, and listwise methods, so the…

数学软件 · 计算机科学 2026-03-17 Mohsen Hariri , Michael Hinczewski , Vipin Chaudhary

Computer-based modelling and simulation have become useful tools to facilitate humans to understand systems in different domains, such as physics, astrophysics, chemistry, biology, economics, engineering and social science. A complex system…

人工智能 · 计算机科学 2021-02-03 Xing Su , Yan Kong , Weihua Li
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