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A major limitation of the classical control theory is the assumption that the state space and its dimension do not change with time. This prevents analyzing and even formalizing the stability and control problems for open multi-agent…

Optimization and Control · Mathematics 2025-01-28 Andrii Mironchenko

We study a variant of the classical membership problem in automata theory, which consists of deciding whether a given input word is accepted by a given automaton. We do so under a different perspective, that is, we consider a dynamic…

Formal Languages and Automata Theory · Computer Science 2020-02-18 Alejandro Grez , Filip Mazowiecki , Michał Pilipczuk , Gabriele Puppis , Cristian Riveros

A novel theory of hybrid quantum-classical systems is developed, utilizing the mathematical framework of constrained dynamical systems on the quantum-classical phase space. Both, the quantum and the classical descriptions of the respective…

Quantum Physics · Physics 2015-06-16 N. Buric , D. B. Popovic , S. Prvanovic , M. Radonjic

We study the optimal control of discrete time mean filed dynamical systems under partial observations. We express the global law of the filtered process as a controlled system with its own dynamics. Following a dynamic programming approach,…

Optimization and Control · Mathematics 2023-03-13 Jeremy Chichportich , Idris Kharroubi

We propose and study a system whose dynamics are governed by predictions of its future states. General formalism and concrete examples are presented. We find that the dynamical characteristics depend on both how to shape predictions as well…

Other Condensed Matter · Physics 2007-05-23 Toru Ohira

Robust model predictive control algorithms are essential for addressing unavoidable errors due to the uncertainty in predicting real-world systems. However, the formulation of such algorithms typically results in a trade-off between…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Moritz Heinlein , Sankaranarayanan Subramanian , Sergio Lucia

Intelligent autonomous systems are part of a system of systems that interact with other agents to accomplish tasks in complex environments. However, intelligent autonomous systems integrated system of systems add additional layers of…

Human-Computer Interaction · Computer Science 2024-06-10 Scott A. Humr , Mustafa Canan , Mustafa Demir

The paper addresses the problem of computing maximal expected time to termination of probabilistic timed automata (PTA) models, under the condition that the system will, eventually, terminate. This problem can exhibit high computational…

Formal Languages and Automata Theory · Computer Science 2018-03-23 Omar Al-Bataineh , Michael Fisher , David Rosenblum

Timed B\"uchi automata provide a very expressive formalism for expressing requirements of real-time systems. Online monitoring and active testing of embedded real-time systems can then be achieved by symbolic execution of such automata on…

Formal Languages and Automata Theory · Computer Science 2025-07-30 Martin Fränzle , Thomas M. Grosen , Kim G. Larsen , Martin Zimmermann

Robustness guarantees are important properties to be looked for during control design. They ensure stability of closed-loop systems in face of uncertainties, unmodeled effects and bounded disturbances. While the theory on robust stability…

Systems and Control · Electrical Eng. & Systems 2022-10-10 Samuele Zoboli , Daniele Astolfi , Vincent Andrieu

We introduce a real-time identification method for discrete-time state-dependent switching systems in both the input--output and state-space domains. In particular, we design a system of adaptive algorithms running in two timescales; a…

Systems and Control · Electrical Eng. & Systems 2025-09-26 Christos Mavridis , Karl Henrik Johansson

Contrary to conventional quantum mechanics, which treats measurement as instantaneous, here we explore a model for finite-time measurement. The main two-level system interacts with the measurement apparatus in a Markovian way described by…

Modifying the discrete mechanics proposed by T.D. Lee, we construct a class of discrete classical Hamiltonian systems, in which time is one of the dynamical variables. This includes a toy model of time machines which can travel forward and…

Quantum Physics · Physics 2013-10-11 Hans-Thomas Elze

Multi-agent approach has become popular in computer science and technology. However, the conventional models of multi-agent and multicomponent systems implicitly or explicitly assume existence of absolute time or even do not include time in…

Multiagent Systems · Computer Science 2017-11-23 Mark Burgin

Automaton models are often seen as interpretable models. Interpretability itself is not well defined: it remains unclear what interpretability means without first explicitly specifying objectives or desired attributes. In this paper, we…

Machine Learning · Statistics 2016-11-28 Christian Albert Hammerschmidt , Sicco Verwer , Qin Lin , Radu State

Real-time hybrid testing is a method in which a substructure of the system is realised experimentally and the rest numerically. The two parts interact in real time to emulate the dynamics of the full system. Such experiments however are…

Dynamical Systems · Mathematics 2024-06-04 Sandor Beregi , David A. W. Barton , Djamel Rezgui , Simon A. Neild

In this paper, we derive closed-form expressions for implicit controlled invariant sets for discrete-time controllable linear systems with measurable disturbances. In particular, a disturbance-reactive (or disturbance feedback) controller…

Systems and Control · Electrical Eng. & Systems 2021-10-05 Zexiang Liu , Tzanis Anevlavis , Necmiye Ozay , Paulo Tabuada

Piecewise smooth hybrid systems, involving continuous and discrete variables, are suitable models for describing the multiscale regulatory machinery of the biological cells. In hybrid models, the discrete variables can switch on and off…

Computational Engineering, Finance, and Science · Computer Science 2012-08-21 Vincent Noel , Dima Grigoriev , Sergei Vakulenko , Ovidiu Radulescu

Dynamics model learning deals with the task of inferring unknown dynamics from measurement data and predicting the future behavior of the system. A typical approach to address this problem is to train recurrent models. However, predictions…

Machine Learning · Computer Science 2024-01-31 Katharina Ensinger , Sebastian Ziesche , Sebastian Trimpe

Modeling an unknown dynamical system is crucial in order to predict the future behavior of the system. A standard approach is training recurrent models on measurement data. While these models typically provide exact short-term predictions,…

Machine Learning · Computer Science 2023-03-02 Katharina Ensinger , Sebastian Ziesche , Barbara Rakitsch , Michael Tiemann , Sebastian Trimpe
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