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In this paper, we present a control framework that allows magnetic microrobot teams to accomplish complex micromanipulation tasks captured by global Linear Temporal Logic (LTL) formulas. To address this problem, we propose an optimal…

Designing tests to evaluate if a given autonomous system satisfies complex specifications is challenging due to the complexity of these systems. This work proposes a flow-based approach for reactive test synthesis from temporal logic…

Formal Languages and Automata Theory · Computer Science 2024-04-16 Josefine B. Graebener , Apurva S. Badithela , Denizalp Goktas , Wyatt Ubellacker , Eric V. Mazumdar , Aaron D. Ames , Richard M. Murray

Synthesis is the automated construction of a system from its specification. The system has to satisfy its specification in all possible environments. Modern systems often interact with other systems, or agents. Many times these agents have…

Logic in Computer Science · Computer Science 2009-07-20 Dana Fisman , Orna Kupferman , Yoad Lustig

Linear temporal logic (LTL) is a compelling framework for specifying complex, structured tasks for reinforcement learning (RL) agents. Recent work has shown that interpreting LTL instructions as finite automata, which can be seen as…

Artificial Intelligence · Computer Science 2025-12-03 Mattia Giuri , Mathias Jackermeier , Alessandro Abate

We consider the problem of automatically synthesizing a hybrid controller for non-linear dynamical systems which ensures that the closed-loop fulfills an arbitrary \emph{Linear Temporal Logic} specification. Moreover, the specification may…

Systems and Control · Electrical Eng. & Systems 2024-01-22 Satya Prakash Nayak , Lucas Neves Egidio , Matteo Della Rossa , Anne-Kathrin Schmuck , Raphaël Jungers

Many safety-critical systems must achieve high-level task specifications with guaranteed safety and correctness. Much recent progress towards this goal has been made through controller synthesis from signal temporal logic (STL)…

Robotics · Computer Science 2018-10-23 Rafael Rodrigues da Silva , Hai Lin

We study the problem of control synthesis for multi-agent systems, to achieve complex, high-level, long-term goals that are assigned to each agent individually. As the agents might not be capable of satisfying their respective goals by…

Robotics · Computer Science 2014-03-18 Jana Tumova , Dimos V. Dimarogonas

LTLf synthesis is the process of finding a strategy that satisfies a linear temporal specification over finite traces. An existing solution to this problem relies on a reduction to a DFA game. In this paper, we propose a symbolic framework…

Logic in Computer Science · Computer Science 2017-09-22 Shufang Zhu , Lucas M. Tabajara , Jianwen Li , Geguang Pu , Moshe Y. Vardi

This paper proposes a language for describing reactive synthesis problems that integrates imperative and declarative elements. The semantics is defined in terms of two-player turn-based infinite games with full information. Currently,…

Logic in Computer Science · Computer Science 2016-02-04 Ioannis Filippidis , Richard M. Murray , Gerard J. Holzmann

A framework for the event-triggered control synthesis under signal temporal logic (STL) tasks is proposed. In our previous work, a continuous-time feedback control law was designed, using the prescribed performance control technique, to…

Systems and Control · Electrical Eng. & Systems 2020-11-26 Lars Lindemann , Dipankar Maity , John S. Baras , Dimos V. Dimarogonas

Recently, the Manna-Pnueli Hierarchy has been used to define the temporal logics LTLfp and PPLTLp, which allow to use finite-trace LTLf/PPLTL techniques in infinite-trace settings while achieving the expressiveness of full LTL. In this…

Logic in Computer Science · Computer Science 2025-08-21 Daniel Hausmann , Shufang Zhu , Gianmarco Parretti , Christoph Weinhuber , Giuseppe De Giacomo , Nir Piterman

This paper presents an input-output simulation approach to controlling multi-affine systems for linear temporal logic (LTL) specifications, which consists of the following steps. First, we partition the state space into rectangles, each of…

Systems and Control · Computer Science 2012-05-01 Yajuan Sun , Hai Lin , Ben M. Chen

We present a controller synthesis algorithm for reach-avoid problems for piecewise linear discrete-time systems. Our algorithm relies on SMT solvers and in this paper we focus on piecewise constant control strategies. Our algorithm…

Systems and Control · Computer Science 2015-09-16 Zhenqi Huang , Yu Wang , Sayan Mitra , Geir E. Dullerud , Swarat Chaudhuri

The problem of LTLf reactive synthesis is to build a transducer, whose output is based on a history of inputs, such that, for every infinite sequence of inputs, the conjoint evolution of the inputs and outputs has a prefix that satisfies a…

Formal Languages and Automata Theory · Computer Science 2025-07-04 Alexandre Duret-Lutz , Shufang Zhu , Nir Piterman , Giuseppe de Giacomo , Moshe Y Vardi

The parameter synthesis problem for parametric timed automata is undecidable in general even for very simple reachability properties. In this paper we introduce restrictions on parameter valuations under which the parameter synthesis…

Formal Languages and Automata Theory · Computer Science 2016-03-07 Peter Bezděk , Nikola Beneš , Jiří Barnat , Ivana Černá

We propose algorithms for performing model checking and control synthesis for discrete-time uncertain systems under linear temporal logic (LTL) specifications. We construct temporal logic trees (TLT) from LTL formulae via reachability…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Yulong Gao , Alessandro Abate , Frank J. Jiang , Mirco Giacobbe , Lihua Xie , Karl H. Johansson

This paper studies the control synthesis of motion planning subject to uncertainties. The uncertainties are considered in robot motions and environment properties, giving rise to the probabilistic labeled Markov decision process (PL-MDP). A…

Robotics · Computer Science 2023-01-31 Mingyu Cai , Shaoping Xiao , Zhijun Li , Zhen Kan

We investigate the problem of optimal control synthesis for Markov Decision Processes (MDPs), addressing both qualitative and quantitative objectives. Specifically, we require the system to satisfy a qualitative task specified by a Linear…

Systems and Control · Electrical Eng. & Systems 2025-09-19 Yu Chen , Xuanyuan Yin , Shaoyuan Li , Xiang Yin

In this paper the problem of cooperative task planning of multi-agent systems when timed constraints are imposed to the system is investigated. We consider timed constraints given by Metric Interval Temporal Logic (MITL). We propose a…

Systems and Control · Computer Science 2015-10-01 Alexandros Nikou , Jana Tumova , Dimos V. Dimarogonas

This paper addresses the multi-agent control problem under global temporal logic tasks, considering agents with heterogeneous capabilities. These global tasks involve not only absolute and relative temporal and spatial constraints, but also…

Systems and Control · Electrical Eng. & Systems 2024-11-15 Tiange Yang , Yuanyuan Zou , Jinfeng Liu , Shaoyuan Li , Xiaohu Zhao