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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

In this paper, we focus on the problem of compositional synthesis of controllers enforcing signal temporal logic (STL) tasks over a class of continuous-time nonlinear interconnected systems. By leveraging the idea of funnel-based control,…

Systems and Control · Electrical Eng. & Systems 2023-09-27 Siyuan Liu , Adnane Saoud , Pushpak Jagtap , Dimos V. Dimarogonas , Majid Zamani

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 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

Interventional causal models describe several joint distributions over some variables used to describe a system, one for each intervention setting. They provide a formal recipe for how to move between the different joint distributions and…

Machine Learning · Statistics 2021-08-06 Eigil F. Rischel , Sebastian Weichwald

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

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

The introduction of separation logic has led to the development of symbolic execution techniques and tools that are (functionally) compositional with function specifications that can be used in broader calling contexts. Many of the…

Symbolic approaches to the control design over complex systems employ the construction of finite-state models that are related to the original control systems, then use techniques from finite-state synthesis to compute controllers…

Optimization and Control · Mathematics 2013-02-18 Majid Zamani , Peyman Mohajerin Esfahani , Rupak Majumdar , Alessandro Abate , John Lygeros

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

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 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

In this paper, a simulation-based method for the analysis and design of abstracted models for a stochastic hybrid system is proposed. The accuracy of a model is evaluated in terms of its capability to reproduce the system output for all the…

Systems and Control · Computer Science 2014-05-29 M. Prandini , S. Garatti , R. Vignali

Recently, there has been an increasing interest in the formal analysis and design of control systems. In this area, in order to reduce the complexity and scale of control systems, finite abstractions of control systems are introduced and…

Optimization and Control · Mathematics 2013-01-01 Jinjin Zhang , Zhaohui Zhu , Jianfei Yang

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

We present assume-guarantee contracts for continuous-time linear dynamical systems with inputs and outputs. These contracts are used to express specifications on the dynamic behaviour of a system. Contrary to existing approaches, we use…

Dynamical Systems · Mathematics 2022-09-07 B. M. Shali , H. M. Heidema , A. J. van der Schaft , B. Besselink

We address the synthesis of control policies for unknown discrete-time stochastic dynamical systems to satisfy temporal logic objectives. We present a data-driven, abstraction-based control framework that integrates online learning with…

Computer Science and Game Theory · Computer Science 2026-04-14 Irmak Sağlam , Mahdi Nazeri , Alessandro Abate , Sadegh Soudjani , Anne-Kathrin Schmuck

Compositional Game Theory is a new, recently introduced model of economic games based upon the computer science idea of compositionality. In it, complex and irregular games can be built up from smaller and simpler games, and the equilibria…

Computer Science and Game Theory · Computer Science 2017-11-22 Neil Ghani , Clemens Kupke , Alasdair Lambert , Fredrik Nordvall Forsberg

This work focuses on the invariance of important properties between continuous and discrete models of systems which can be useful in the control design of large-scale systems and their software implementations. In particular, this paper…

Systems and Control · Computer Science 2017-11-22 Etika Agarwal , Shravan Sajja , Panos J. Antsaklis , Vijay Gupta

In this report proofs are presented for a method for abstracting continuous dynamical systems by timed automata. The method is based on partitioning the state space of dynamical systems with invariant sets, which form cells representing…

Systems and Control · Computer Science 2010-08-20 Christoffer Sloth , Rafael Wisniewski