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We study which standard operators of probabilistic process calculi allow for compositional reasoning with respect to bisimulation metric semantics. We argue that uniform continuity (generalizing the earlier proposed property of…

Logic in Computer Science · Computer Science 2019-03-14 Daniel Gebler , Kim G. Larsen , Simone Tini

We are entering a new era in which software systems are becoming more and more complex and larger. So, the composition of such systems is becoming infeasible by manual means. To address this challenge, self-organising software models…

Formal Languages and Automata Theory · Computer Science 2025-08-27 Damian Arellanes

Previous approaches to constructing abstractions for control systems rely on geometric conditions or, in the case of an interconnected control system, a condition on the interconnection topology. Since these conditions are not always…

Optimization and Control · Mathematics 2020-05-22 Stanley W. Smith , Murat Arcak , Majid Zamani

This paper studies the controller synthesis problem for Linear Temporal Logic (LTL) specifications using (constrained) zonotope techniques. First, we implement (constrained) zonotope techniques to partition the state space and further to…

Systems and Control · Electrical Eng. & Systems 2021-11-16 Wei Ren , Julien Calbert , Raphael Jungers

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

This paper studies the reduction (abstraction) of finite-state transition systems for control synthesis problems. We revisit the notion of alternating simulation equivalence (ASE), a more relaxed condition than alternating bisimulations, to…

Formal Languages and Automata Theory · Computer Science 2022-03-04 Gabriel de Albuquerque Gleizer , Khushraj Nanik Madnani , Manuel Mazo

In this paper, we introduce NNSynth, a new framework that uses machine learning techniques to guide the design of abstraction-based controllers with correctness guarantees. NNSynth utilizes neural networks (NNs) to guide the search over the…

Systems and Control · Electrical Eng. & Systems 2022-04-08 Xiaowu Sun , Yasser Shoukry

This paper deals with the control synthesis problem for a continuous nonlinear dynamical system under a Linear Temporal Logic (LTL) formula. The proposed solution is a top-down hierarchical decomposition of the control problem involving…

Systems and Control · Computer Science 2021-04-09 Pierre-Jean Meyer , Dimos V. Dimarogonas

This paper considers the problem of decentralized analysis and control synthesis to verify and ensure properties like stability and dissipativity of a large-scale networked system comprised of linear subsystems interconnected in an…

Systems and Control · Electrical Eng. & Systems 2022-09-05 Shirantha Welikala , Hai Lin , Panos Antsaklis

In this paper, we consider the problem of synthesizing low-complexity controllers for incrementally stable switched systems. For that purpose, we establish a new approximation result for the computation of symbolic models that are…

Systems and Control · Computer Science 2013-02-12 Antoine Girard

Probabilistic automata constitute a versatile and elegant model for concurrent probabilistic systems. They are equipped with a compositional theory supporting abstraction, enabled by weak probabilistic bisimulation serving as the reference…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Andrea Turrini , Holger Hermanns

We develop an assume-guarantee framework for control of large scale linear (time-varying) systems from finite-time reach and avoid or infinite-time invariance specifications. The contracts describe the admissible set of states and controls…

Systems and Control · Electrical Eng. & Systems 2020-02-18 Kasra Ghasemi , Sadra Sadraddini , Calin Belta

Recently, alternating transition systems are adopted to describe control systems with disturbances and their finite abstract systems. In order to capture the equivalence relation between these systems, a notion of alternating approximate…

Logic in Computer Science · Computer Science 2012-12-21 Jinjin Zhang , Zhaohui Zhu

In this manuscript, we investigate symbolic abstractions that capture the behavior of piecewise-affine systems under input constraints and bounded external noise. This is accomplished by considering local affine feedback controllers that…

Optimization and Control · Mathematics 2022-11-23 Lucas N. Egidio , Thiago Alves Lima , Raphaël M. Jungers

In this work, we propose a data-driven approach for the construction of finite abstractions (a.k.a., symbolic models) for discrete-time deterministic control systems with unknown dynamics. We leverage notions of so-called alternating…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Abolfazl Lavaei , Emilio Frazzoli

Several methods have been proposed recently to learn neural network (NN) controllers for autonomous agents, with unknown and stochastic dynamics, tasked with complex missions captured by Linear Temporal Logic (LTL). Due to the…

Robotics · Computer Science 2023-11-23 Jun Wang , Haojun Chen , Zihe Sun , Yiannis Kantaros

In this paper, we provide a compositional framework for synthesizing hybrid controllers for interconnected discrete-time control systems enforcing specifications expressed by co-Buchi automata. In particular, we first decompose the given…

Systems and Control · Electrical Eng. & Systems 2020-02-04 Pushpak Jagtap , Abdalla Swikir , Majid Zamani

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

Approximate simulation, an extension of simulation relations from formal methods to continuous systems, is a powerful tool for hierarchical control of complex systems. Finding an approximate simulation relation between the full "concrete"…

Systems and Control · Electrical Eng. & Systems 2020-03-10 Vince Kurtz , Patrick M. Wensing , Hai Lin

In this paper we propose a compositional framework for the construction of approximations of the interconnection of a class of stochastic hybrid systems. As special cases, this class of systems includes both jump linear stochastic systems…

Optimization and Control · Mathematics 2016-04-26 Majid Zamani , Matthias Rungger , Peyman Mohajerin Esfahani
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