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This paper establishes a general framework for describing hybrid dynamical systems which is particularly suitable for numerical simulation. In this context, the data structures used to describe the sets and functions which comprise the…

chao-dyn · Physics 2008-02-03 Allen Back , John Guckenheimer , Mark Myers

For the design and implementation of engineering systems, performing model-based analysis can disclose potential safety issues at an early stage. The analysis of hybrid system models is in general difficult due to the intrinsic complexity…

Systems and Control · Computer Science 2015-01-26 Yi Deng , Agung Julius

Hybrid systems are characterized by the hybrid evolution of their state: A part of the state changes discretely, the other part changes continuously over time. Typically, modern control applications belong to this class of systems, where a…

Software Engineering · Computer Science 2011-11-09 Bernhard K. Aichernig , Reinhold Kainhofer

Feedback optimization algorithms compute inputs to a system using real-time output measurements, which helps mitigate the effects of disturbances. However, existing work often models both system dynamics and computations in either discrete…

Systems and Control · Electrical Eng. & Systems 2026-03-23 Oscar Jed Chuy , Matthew Hale , Ricardo Sanfelice

Hybrid dynamical systems are systems which undergo both continuous and discrete transitions. The Bolza problem from optimal control theory is applied to these systems and a hybrid version of Pontryagin's maximum principle is presented. This…

Optimization and Control · Mathematics 2021-11-24 William Clark , Maria Oprea , Andrew J. Graven

Stochastic hybrid systems have received significant attentions as a relevant modelling framework describing many systems, from engineering to the life sciences: they enable the study of numerous applications, including transportation…

Logic in Computer Science · Computer Science 2022-03-11 Abolfazl Lavaei , Sadegh Soudjani , Alessandro Abate , Majid Zamani

Hybrid systems are characterized by having an interaction between continuous dynamics and discrete events. The contribution of this paper is to provide hybrid systems with a novel geometric formulation so that controls can be added. Using…

Optimization and Control · Mathematics 2020-06-23 M. Barbero Liñán , J. Cortés , D. Martín de Diego , S. Martínez , M. C. Muñoz Lecanda

We discuss hybrid systems in which a mechanical oscillator is coupled to another (microscopic) quantum system, such as trapped atoms or ions, solid-state spin qubits, or superconducting devices. We summarize and compare different coupling…

Quantum Physics · Physics 2015-01-07 Philipp Treutlein , Claudiu Genes , Klemens Hammerer , Martino Poggio , Peter Rabl

The literature is rich with studies, analyses, and examples on parameter estimation for describing the evolution of chaotic dynamical systems based on measurements, even when only partial information is available through observations.…

Chaotic Dynamics · Physics 2025-08-07 Michele Baia , Tommaso Matteuzzi , Franco Bagnoli

Hybrid dynamical systems have proven to be a powerful modeling abstraction, yet fundamental questions regarding the dynamical properties of these systems remain. In this paper, we develop a novel class of relaxations which we use to recover…

Dynamical Systems · Mathematics 2017-10-25 Tyler Westenbroek , S. Shankar Sastry , Humberto Gonzalez

This paper is a survey of extensions to finite automata theory to model real-time systems as well as systems exhibiting mixed discrete-continuous behavior. Real-time systems maintain a continuous and timely interaction with the environment,…

Formal Languages and Automata Theory · Computer Science 2018-11-27 Lakhan Shiva Kamireddy

We consider the basic features of complex dynamical and control systems. Special attention is paid to the problems of synthesis of dynamical models of complex systems, construction of efficient control models, and to the development of…

Computational Engineering, Finance, and Science · Computer Science 2009-07-03 Armen Bagdasaryan

Physical systems can be naturally modeled by combining continuous and discrete models. Such hybrid models may simplify the modeling task of complex system, as well as increase simulation performance. Moreover, modern simulation engines can…

Computers and Society · Computer Science 2017-10-19 David Broman

A unique feature of hybrid dynamical systems (systems whose evolution is subject to both continuous- and discrete-time laws) is Zeno trajectories. Usually these trajectories are avoided as they can cause incorrect numerical results as the…

Optimization and Control · Mathematics 2022-10-04 William Clark , Maria Oprea

Rigid bodies, plastic impact, persistent contact, Coulomb friction, and massless limbs are ubiquitous simplifications introduced to reduce the complexity of mechanics models despite the obvious physical inaccuracies that each incurs…

Robotics · Computer Science 2020-07-31 Aaron M. Johnson , Samuel A. Burden , Daniel E. Koditschek

Many parallel and distributed computing research results are obtained in simulation, using simulators that mimic real-world executions on some target system. Each such simulator is configured by picking values for parameters that define the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-03 Jesse McDonald , Maximilian Horzela , Frédéric Suter , Henri Casanova

Measurement involves the determination of quantitative estimates of physical quantities from experiment, along with estimates of their associated uncertainties. Herewith an experimental system model is the key to extracting information from…

Applications · Statistics 2008-09-01 Vladimir B. Bokov

Hybrid automata are a natural framework for modeling and analyzing systems which exhibit a mixed discrete continuous behaviour. However, the standard operational semantics defined over such models implicitly assume perfect knowledge of the…

Systems and Control · Computer Science 2013-08-27 Alberto Casagrande , Tommaso Dreossi , Carla Piazza

Real-time control systems often require dedicated hardware and software, including real-time operating systems, while many systems are available for off-line computing, mainly based on standard system units (PCs), standard network…

Instrumentation and Detectors · Physics 2007-05-23 F. Acernese , F. Barone , R. De Rosa , R. Esposito , P. Mastroserio , L. Milano , S. Pardi , K. Qipiani , F. Silvestri , G. Spadaccini

Hybrid systems exhibit both continuous and discrete behavior. Analyzing hybrid systems is known to be hard. Inspired by the idea of concolic testing (of programs), we investigate whether we can combine random sampling and symbolic execution…

Software Engineering · Computer Science 2016-09-01 Pingfan Kong , Yi Li , Xiaohong Chen , Jun Sun , Meng Sun , Jingyi Wang
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