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This paper presents a compositional approach to specification-guided abstraction refinement for control synthesis of a nonlinear system associated with a method to over-approximate its reachable sets. Given an initial coarse partition of…

Systems and Control · Computer Science 2017-12-19 Pierre-Jean Meyer , Dimos V. Dimarogonas

We propose a convex controller synthesis framework for a large class of constrained linear systems, including those described by (deterministic and stochastic) partial differential equations and integral equations, commonly used in fluid…

Optimization and Control · Mathematics 2025-06-24 Lauren Conger , Antoine P. Leeman , Franca Hoffmann

Automated synthesis of reactive control protocols from temporal logic specifications has recently attracted considerable attention in various applications in, for example, robotic motion planning, network management, and hardware design. An…

Systems and Control · Computer Science 2014-05-20 Jie Fu , Rayna Dimitrova , Ufuk Topcu

The last decade has witnessed significant attention on networked control systems (NCS) due to their ubiquitous presence in industrial applications, and, in the particular case of wireless NCS, because of their architectural flexibility and…

Optimization and Control · Mathematics 2016-11-22 Majid Zamani , Manuel Mazo , Mahmoud Khaled , Alessandro Abate

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

This paper proposes a method to synthesise controllers for cyber-physical systems such that the controlled systems satisfy specifications given as linear temporal logic formulas. The focus is on systems with disturbance, where future states…

Systems and Control · Electrical Eng. & Systems 2022-05-30 Jonas Krook , Robi Malik , Sahar Mohajerani , Martin Fabian

In this paper, we propose a compositional approach for the construction of finite abstractions (a.k.a. finite Markov decision processes (MDPs)) for networks of discrete-time stochastic control subsystems that are not necessarily…

Systems and Control · Electrical Eng. & Systems 2020-02-12 Abolfazl Lavaei , Sadegh Soudjani , Majid Zamani

This article surveys the System Level Synthesis framework, which presents a novel perspective on constrained robust and optimal controller synthesis for linear systems. We show how SLS shifts the controller synthesis task from the design of…

Optimization and Control · Mathematics 2019-04-04 James Anderson , John C. Doyle , Steven Low , Nikolai Matni

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

Automated synthesis of correct-by-construction controllers for autonomous systems is crucial for their deployment in safety-critical scenarios. Such autonomous systems are naturally modeled as stochastic dynamical models. The general…

Systems and Control · Electrical Eng. & Systems 2023-11-17 Thom Badings , Nils Jansen , Licio Romao , Alessandro Abate

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 propose a hierarchical control framework for the synthesis of correct-by-construction controllers for nonlinear control-affine systems with respect to reach-avoid-stay specifications. We first create a low-dimensional continuous…

Systems and Control · Electrical Eng. & Systems 2021-04-19 Pierre-Jean Meyer , He Yin , Astrid H. Brodtkorb , Murat Arcak , Asgeir J. Sørensen

This paper introduces a general approach for synthesizing procedural models of the state-transitions of a given discrete system. The approach is general in that it accepts different target languages for modeling the state-transitions of a…

Formal Languages and Automata Theory · Computer Science 2023-07-28 Javier Segovia-Aguas , Jonathan Ferrer-Mestres , Sergio Jiménez

In this paper, we provide a compositional approach for constructing finite abstractions (a.k.a. finite Markov decision processes (MDPs)) of interconnected discrete-time stochastic switched systems. The proposed framework is based on a…

Systems and Control · Electrical Eng. & Systems 2019-12-30 Abolfazl Lavaei , Sadegh Soudjani , Majid Zamani

Capturing uncertainty in models of complex dynamical systems is crucial to designing safe controllers. Stochastic noise causes aleatoric uncertainty, whereas imprecise knowledge of model parameters leads to epistemic uncertainty. Several…

Systems and Control · Electrical Eng. & Systems 2022-12-08 Thom Badings , Licio Romao , Alessandro Abate , Nils Jansen

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

In this work, we propose an abstraction and refinement methodology for the controller synthesis of discrete-time stochastic systems to enforce complex logical properties expressed by deterministic finite automata (a.k.a. DFA). Our proposed…

Systems and Control · Electrical Eng. & Systems 2022-11-15 Bingzhuo Zhong , Abolfazl Lavaei , Majid Zamani , Marco Caccamo

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 work addresses the general problem of control synthesis for continuous-space, discrete-time stochastic systems with probabilistic guarantees via finite abstractions. While established methods exist, they often trade off accuracy for…

Systems and Control · Electrical Eng. & Systems 2025-07-04 Ibon Gracia , Morteza Lahijanian

In this paper, we provide for the first time an automated, correct-by-construction, controller synthesis scheme for a class of infinite dimensional stochastic systems, namely, retarded jump-diffusion systems. First, we construct finite…

Optimization and Control · Mathematics 2019-11-22 Pushpak Jagtap , Majid Zamani