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Symbolic models are abstract descriptions of continuous systems in which symbols represent aggregates of continuous states. In the last few years there has been a growing interest in the use of symbolic models as a tool for mitigating…

Optimization and Control · Mathematics 2007-07-31 Giordano Pola , Paulo Tabuada

In this paper, we present a compositional methodology for constructing symbolic models of nonlinear interconnected impulsive systems. Our approach relies on the concept of "alternating simulation function" to establish a relationship…

Systems and Control · Electrical Eng. & Systems 2023-12-29 Sadek Belamfedel Alaoui , Adnane Saoud , Pushpak Jagtap , Abdalla Swikir

Symbolic models have recently spurred the interest of the research community because they offer a correct-by-design approach to the control of embedded and cyber-physical systems. In this paper we address construction of symbolic models for…

Optimization and Control · Mathematics 2014-08-15 Giordano Pola , Pierdomenico Pepe , Maria Domenica Di Benedetto

In the last few years there has been a growing interest in the use of symbolic models for the formal verification and control design of purely continuous or hybrid systems. Symbolic models are abstract descriptions of continuous systems…

Optimization and Control · Mathematics 2016-11-26 Alessandro Borri , Giordano Pola , Maria Domenica Di Benedetto

Symbolic models have been used as the basis of a systematic framework to address control design of several classes of hybrid systems with sophisticated control objectives. However, results available in the literature are not concerned with…

Systems and Control · Electrical Eng. & Systems 2020-05-22 Abdalla Swikir , Antoine Girard , Majid Zamani

Symbolic control techniques aim to satisfy complex logic specifications. A critical step in these techniques is the construction of a symbolic (discrete) abstraction, a finite-state system whose behaviour mimics that of a given…

Artificial Intelligence · Computer Science 2021-04-29 Alex Devonport , Adnane Saoud , Murat Arcak

The research area of Networked Control Systems (NCS) has been the topic of intensive study in the last decade. In this paper we give a contribution to this research line by addressing symbolic control design of (possibly unstable) nonlinear…

Systems and Control · Computer Science 2012-09-05 Alessandro Borri , Giordano Pola , Maria D. Di Benedetto

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…

Optimization and Control · Mathematics 2011-10-11 Majid Zamani , Giordano Pola , Manuel Mazo , Paulo Tabuada

Networked control systems (NCS) are spatially distributed systems where communication among plants, sensors, actuators and controllers occurs in a shared communication network. NCS have been studied for the last ten years and important…

Systems and Control · Computer Science 2015-03-20 Alessandro Borri , Giordano Pola , Maria Domenica Di Benedetto

In this paper, we investigate novel self-triggered controllers for nonlinear control systems with reachability and safety specifications. To synthesize the self-triggered controller, we leverage the notion of symbolic models, or…

Optimization and Control · Mathematics 2019-08-14 Kazumune Hashimoto , Adnane Saoud , Masako Kishida , Toshimitsu Ushio , Dimos V. Dimarogonas

Imitation learning is a popular method for teaching robots new behaviors. However, most existing methods focus on teaching short, isolated skills rather than long, multi-step tasks. To bridge this gap, imitation learning algorithms must not…

Artificial Intelligence · Computer Science 2025-11-04 Leon Keller , Daniel Tanneberg , Jan Peters

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…

Optimization and Control · Mathematics 2008-01-14 Giordano Pola , Antoine Girard , Paulo Tabuada

Time-delay systems are an important class of dynamical systems that provide a solid mathematical framework to deal with many application domains of interest. In this paper we focus on nonlinear control systems with unknown and time-varying…

Optimization and Control · Mathematics 2011-12-13 Giordano Pola , Pierdomenico Pepe , Maria Domenica Di Benedetto

Model-based reinforcement learning is an effective approach for controlling an unknown system. It is based on a longstanding pipeline familiar to the control community in which one performs experiments on the environment to collect a…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Bruce D. Lee , Ingvar Ziemann , George J. Pappas , Nikolai Matni

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…

Optimization and Control · Mathematics 2010-06-16 Giordano Pola , Alessandro Borri , Maria D. Di Benedetto

At the intersection of dynamical systems, control theory, and formal methods lies the construction of symbolic abstractions: these typically represent simpler, finite-state models whose behavior mimics that of an underlying concrete system…

Systems and Control · Electrical Eng. & Systems 2024-09-27 Rudi Coppola , Andrea Peruffo , Manuel Mazo

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…

Systems and Control · Electrical Eng. & Systems 2020-11-26 Wei Ren , Dimos V. Dimarogonas

This paper proposes a novel learning architecture for acquiring generalizable high-level symbolic skills from a few unlabeled low-level skill trajectory demonstrations. The architecture involves neural networks for symbol discovery and…

Robotics · Computer Science 2026-03-03 Hakan Aktas , Yigit Yildirim , Ahmet Firat Gamsiz , Deniz Bilge Akkoc , Erhan Oztop , Emre Ugur

Time-delay systems are an important class of dynamical systems which provide a solid mathematical framework to deal with many application domains of interest ranging from biology, chemical, electrical, and mechanical engineering, to…

Dynamical Systems · Mathematics 2009-03-28 Giordano Pola , Pierdomenico Pepe , Maria D. Di Benedetto , Paulo Tabuada

This paper presents a compositional framework for the construction of symbolic models for a network composed of a countably infinite number of finite-dimensional discrete-time control subsystems. We refer to such a network as infinite…

Systems and Control · Electrical Eng. & Systems 2021-10-29 Siyuan Liu , Navid Noroozi , Majid Zamani
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