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This paper presents a control synthesis algorithm for dynamical systems to satisfy specifications given in a fragment of linear temporal logic. It is based on an abstraction-refinement scheme with nonuniform partitions of the state space. A…

Systems and Control · Computer Science 2018-04-13 Oscar Lindvall Bulancea , Petter Nilsson , Necmiye Ozay

We consider the problem of approximating discrete-time plants with finite-valued sensors and actu- ators by deterministic finite memory systems for the purpose of certified-by-design controller synthesis. Building on ideas from robust…

Optimization and Control · Mathematics 2013-10-11 Danielle C. Tarraf

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

Networked control systems (NCSs) are an example of task-oriented communication systems, where the purpose of communication is real-time control of processes over a network. In the context of NCSs, with the processes sending their state…

Systems and Control · Electrical Eng. & Systems 2024-01-29 Polina Kutsevol , Onur Ayan , Wolfgang Kellerer

Sufficiently accurate finite state models, also called symbolic models or discrete abstractions, allow one to apply fully automated methods, originally developed for purely discrete systems, to formally reason about continuous and hybrid…

Optimization and Control · Mathematics 2011-11-03 Gunther Reißig

This paper studies formal synthesis of controllers for continuous-space systems with unknown dynamics to satisfy requirements expressed as linear temporal logic formulas. Formal abstraction-based synthesis schemes rely on a precise…

Systems and Control · Electrical Eng. & Systems 2022-06-17 Milad Kazemi , Rupak Majumdar , Mahmoud Salamati , Sadegh Soudjani , Ben Wooding

We present a lazy version of multi-layered abstraction-based controller synthesis (ABCS) for continuous-time nonlinear dynamical systems against safety specifications. State-of-the-art multi-layered ABCS uses pre-computed finite-state…

Systems and Control · Computer Science 2019-07-29 Kyle Hsu , Rupak Majumdar , Kaushik Mallik , Anne-Kathrin Schmuck

Despite achieving tremendous success, existing deep learning models have exposed limitations in compositional generalization, the capability to learn compositional rules and apply them to unseen cases in a systematic manner. To tackle this…

Machine Learning · Computer Science 2020-10-23 Xinyun Chen , Chen Liang , Adams Wei Yu , Dawn Song , Denny Zhou

We present lazy abstraction-based controller synthesis (ABCS) for continuous-time nonlinear dynamical systems against reach-avoid and safety specifications. State-of-the-art multi-layered ABCS pre-computes multiple finite-state abstractions…

Systems and Control · Computer Science 2019-08-13 Kyle Hsu , Rupak Majumdar , Kaushik Mallik , Anne-Kathrin Schmuck

This paper presents a novel free-hand sketch synthesis approach addressing explicit abstraction control in class-conditional and photo-to-sketch synthesis. Abstraction is a vital aspect of sketches, as it defines the fundamental distinction…

Computer Vision and Pattern Recognition · Computer Science 2023-06-16 Dar-Yen Chen

In this paper, a method is presented to synthesize neural network controllers such that the feedback system of plant and controller is dissipative, certifying performance requirements such as L2 gain bounds. The class of plants considered…

Systems and Control · Electrical Eng. & Systems 2024-04-12 Neelay Junnarkar , Murat Arcak , Peter Seiler

The goal of logical controller synthesis is to automatically compute a control strategy that regulates the discrete, event-driven behavior of a given plant s.t. a temporal logic specification holds over all remaining traces. Standard…

Logic in Computer Science · Computer Science 2025-01-31 Bernd Finkbeiner , Niklas Metzger , Satya Prakash Nayak , Anne-Kathrin Schmuck

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…

Systems and Control · Electrical Eng. & Systems 2022-11-01 Mahmoud Khaled , Kuize Zhang , Majid Zamani

We consider abstraction-based design of output-feedback controllers for non-linear dynamical systems against specifications over state-based predicates in linear-time temporal logic (LTL). In this context, our contribution is two-fold: (I)…

Systems and Control · Electrical Eng. & Systems 2021-04-23 Anne-Kathrin Schmuck , Mehrdad Zareian

This paper presents a fully automated procedure for controller synthesis for a general class of multi-agent systems under coupling constraints. Each agent is modeled with dynamics consisting of two terms: the first one models the coupling…

Systems and Control · Computer Science 2017-03-28 Alexandros Nikou , Shahab Heshmati-alamdari , Christos Verginis , Dimos V. Dimarogonas

In this paper, we develop a compositional scheme for the construction of continuous approximations for interconnections of infinitely many discrete-time switched systems. An approximation (also known as abstraction) is itself a…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Maryam Sharifi , Abdalla Swikir , Navid Noroozi , Majid Zamani

There is an increasing demand for controller design techniques capable of addressing the complex requirements of todays embedded applications. This demand has sparked the interest in symbolic control where lower complexity models of control…

Optimization and Control · Mathematics 2015-03-14 Manuel Mazo , Paulo Tabuada

We address the problem of designing stabilizing control policies for nonlinear systems in discrete-time, while minimizing an arbitrary cost function. When the system is linear and the cost is convex, the System Level Synthesis (SLS)…

Systems and Control · Electrical Eng. & Systems 2023-01-03 Luca Furieri , Clara Lucía Galimberti , Giancarlo Ferrari-Trecate

The essential step of abstraction-based control synthesis for nonlinear systems to satisfy a given specification is to obtain a finite-state abstraction of the original systems. The complexity of the abstraction is usually the dominating…

Systems and Control · Electrical Eng. & Systems 2023-03-13 Yiming Meng , Jun Liu

Finite abstractions (a.k.a. symbolic models) offer an effective scheme for approximating the complex continuous-space systems with simpler models in the discrete-space domain. A crucial aspect, however, is to establish a formal relation…

Systems and Control · Electrical Eng. & Systems 2024-12-06 Behrad Samari , Mahdieh Zaker , Abolfazl Lavaei