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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

We present a controller synthesis algorithm for a discrete time reach-avoid problem in the presence of adversaries. Our model of the adversary captures typical malicious attacks envisioned on cyber-physical systems such as sensor spoofing,…

Systems and Control · Computer Science 2015-01-21 Zhenqi Huang , Yu Wang , Sayan Mitra , Geir Dullerud

The requirements for real-world manipulation tasks are diverse and often conflicting; some tasks require precise motion while others require force compliance; some tasks require avoidance of certain regions, while others require convergence…

Robotics · Computer Science 2024-12-13 Tianhao Wei , Liqian Ma , Rui Chen , Weiye Zhao , Changliu Liu

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

In this work, we propose a novel approach for the continuous-time control synthesis of nonlinear systems under nested signal temporal logic (STL) specifications. While the majority of existing literature focuses on control synthesis for STL…

Systems and Control · Electrical Eng. & Systems 2024-01-24 Pian Yu , Xiao Tan , Dimos V. Dimarogonas

When designing correct-by-construction controllers for autonomous collectives, three key challenges are the task specification, the modelling, and its use at practical scale. In this paper, we focus on a simple yet useful abstraction for…

Multiagent Systems · Computer Science 2024-11-22 Till Schnittka , Mario Gleirscher

In time-critical systems, such as air traffic control systems, it is crucial to design control policies that are robust to timing uncertainty. Recently, the notion of Asynchronous Temporal Robustness (ATR) was proposed to capture the…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Xinyi Yu , Xiang Yin , Lars Lindemann

In this paper, we investigate the problem of synthesizing strategies for linear temporal logic (LTL) specifications that are interpreted over finite traces -- a problem that is central to the automated construction of controllers, robot…

Logic in Computer Science · Computer Science 2018-09-03 Alberto Camacho , Meghyn Bienvenu , Sheila A. McIlraith

Controller synthesis is a theoretical approach to the systematic design of discrete event systems. It constructs a controller to provide feedback and control to the system, ensuring it meets specified control specifications. Traditional…

Multiagent Systems · Computer Science 2025-09-03 Ruohan Huang , Zining Cao

Finite turn-based safety games have been used for very different problems such as the synthesis of linear temporal logic (LTL), the synthesis of schedulers for computer systems running on multiprocessor platforms, and also for the…

Logic in Computer Science · Computer Science 2014-05-08 Gilles Geeraerts , Joël Goossens , Amélie Stainer

This paper addresses the planning and control problem for nonlinear systems under Signal Temporal Logic (STL) specifications. We first decompose an STL task into finite local tasks. A sampling-based method generates sequences of local…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Zuodong Pan , Xu Fang , Wei Ren

Given a Markov decision process (MDP) and a linear-time ($\omega$-regular or LTL) specification, the controller synthesis problem aims to compute the optimal policy that satisfies the specification. More recently, problems that reason over…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Alvaro Velasquez , Ismail Alkhouri , Andre Beckus , Ashutosh Trivedi , George Atia

We consider the problem of computing the set of initial states of a dynamical system such that there exists a control strategy to ensure that the trajectories satisfy a temporal logic specification with probability 1 (almost-surely). We…

Systems and Control · Computer Science 2015-02-24 Maria Svorenova , Jan Kretinsky , Martin Chmelik , Krishnendu Chatterjee , Ivana Cerna , Calin Belta

We present a (semi)-algorithm to compute winning strategies for parametric timed games. Previous algorithms only synthesized constraints on the clock parameters for which the game is winning. A new definition of (winning) strategies is…

Formal Languages and Automata Theory · Computer Science 2025-06-19 Mikael Bisgaard Dahlsen-Jensen , Baptiste Fievet , Laure Petrucci , Jaco van de Pol

We address the problem of synthesizing reactive controllers for cyber-physical systems subject to Signal Temporal Logic (STL) specifications in the presence of adversarial inputs. Given a finite horizon, we define a reactive hierarchy of…

We propose to synthesize a control policy for a Markov decision process (MDP) such that the resulting traces of the MDP satisfy a linear temporal logic (LTL) property. We construct a product MDP that incorporates a deterministic Rabin…

Systems and Control · Computer Science 2014-09-22 Dorsa Sadigh , Eric S. Kim , Samuel Coogan , S. Shankar Sastry , Sanjit A. Seshia

The classic approaches to synthesize a reactive system from a linear temporal logic (LTL) specification first translate the given LTL formula to an equivalent omega-automaton and then compute a winning strategy for the corresponding…

Logic in Computer Science · Computer Science 2010-06-09 Andreas Morgenstern , Klaus Schneider

In this paper, a method for learning a recurrent neural network (RNN) controller that maximizes the robustness of signal temporal logic (STL) specifications is presented. In contrast to previous methods, we consider synthesizing the RNN…

Systems and Control · Electrical Eng. & Systems 2021-12-20 Wataru Hashimoto , Kazumune Hashimoto , Shigemasa Takai

We address the problem of diagnosing and repairing specifications for hybrid systems formalized in signal temporal logic (STL). Our focus is on the setting of automatic synthesis of controllers in a model predictive control (MPC) framework.…

We present a reinforcement learning (RL) framework to synthesize a control policy from a given linear temporal logic (LTL) specification in an unknown stochastic environment that can be modeled as a Markov Decision Process (MDP).…

Robotics · Computer Science 2026-04-07 Alper Kamil Bozkurt , Yu Wang , Michael M. Zavlanos , Miroslav Pajic
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