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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

Specification synthesis is the process of deriving a model from the input-output traces of a system. It is used extensively in test design, reverse engineering, and system identification. One type of the resulting artifact of this process…

Formal Languages and Automata Theory · Computer Science 2021-01-19 Iman Saberi , Fathiyeh Faghih , Farzad Sobhi Bavil

A novel reinforcement learning scheme to synthesize policies for continuous-space Markov decision processes (MDPs) is proposed. This scheme enables one to apply model-free, off-the-shelf reinforcement learning algorithms for finite MDPs to…

Systems and Control · Electrical Eng. & Systems 2020-03-03 Abolfazl Lavaei , Fabio Somenzi , Sadegh Soudjani , Ashutosh Trivedi , Majid Zamani

Pricing financial or real options with arbitrary payoffs in regime-switching models is an important problem in finance. Mathematically, it is to solve, under certain standard assumptions, a general form of optimal stopping problems in…

Mathematical Finance · Quantitative Finance 2018-09-11 Masahiko Egami , Rusudan Kevkhishvili

This paper investigates the problem of identifying state-dependent switching systems, a class of hybrid dynamical systems that combine multiple linear or nonlinear modes. We propose two broad classes of switching systems: switching linear…

Optimization and Control · Mathematics 2025-09-30 Kaito Iwasaki , Sangli Teng , Anthony Bloch , Maani Ghaffari

We present algorithms to synthesize component-based systems that are safe and deadlock-free using priorities, which define stateless-precedence between enabled actions. Our core method combines the concept of fault-localization (using…

Logic in Computer Science · Computer Science 2011-10-10 Chih-Hong Cheng , Saddek Bensalem , Yu-Fang Chen , Rongjie Yan , Barbara Jobstmann , Harald Ruess , Christian Buckl , Alois Knoll

This paper studies a discrete-time optimal switching problem on a finite horizon. The underlying model has a running reward, terminal reward and signed (positive and negative) switching costs. Using the martingale approach to optimal…

Optimization and Control · Mathematics 2016-10-17 Randall Martyr

Symbolic controller synthesis is a fully-automated and correct-by-design synthesis scheme whose limitations are its immense memory and runtime requirements. A current trend to compensate for this downside is to develop techniques for…

Optimization and Control · Mathematics 2020-07-21 Alexander Weber , Marcus Kreuzer , Alexander Knoll

Nonlinear constrained optimization problems are encountered in many scientific fields. To utilize the huge calculation power of current computers, many mathematic models are also rebuilt as optimization problems. Most of them have…

Optimization and Control · Mathematics 2011-10-03 Wei Zhang , Xudong Shi , Liwen Wang

Reactive synthesis is a technology for the automatic construction of reactive systems from logical specifications. In these lecture notes, we study different algorithms for the reactive synthesis problem of linear-time temporal logic (LTL).…

Logic in Computer Science · Computer Science 2018-03-28 Bernd Finkbeiner , Felix Klein

We present an optimisation-based method for synthesising a dynamic regret optimal controller for linear systems with potentially adversarial disturbances and known or adversarial initial conditions. The dynamic regret is defined as the…

Systems and Control · Electrical Eng. & Systems 2022-05-31 Alexandre Didier , Jerome Sieber , Melanie N. Zeilinger

We study the synthesis of a policy in a Markov decision process (MDP) following which an agent reaches a target state in the MDP while minimizing its total discounted cost. The problem combines a reachability criterion with a discounted…

Optimization and Control · Mathematics 2021-03-18 Yagiz Savas , Christos K. Verginis , Michael Hibbard , Ufuk Topcu

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.…

This paper derives a closed-form method for computing hybrid force-velocity control. The key idea is to maximize the kinematic conditioning of the mechanical system, which includes a robot, free objects, a rigid environment and contact…

Robotics · Computer Science 2021-03-26 Yifan Hou , Matthew T. Mason

This paper studies the problem of control strategy synthesis for dynamical systems with differential constraints to fulfill a given reachability goal while satisfying a set of safety rules. Particular attention is devoted to goals that…

Temporal synthesis is the automated design of a system that interacts with an environment, using the declarative specification of the system's behavior. A popular language for providing such a specification is Linear Temporal Logic, or LTL.…

Logic in Computer Science · Computer Science 2020-08-18 Shufang Zhu , Lucas M. Tabajara , Jianwen Li , Geguang Pu , Moshe Y. Vardi

Parameterized synthesis offers a solution to the problem of constructing correct and verified controllers for parameterized systems. Such systems occur naturally in practice (e.g., in the form of distributed protocols where the amount of…

Logic in Computer Science · Computer Science 2020-09-30 Oliver Markgraf , Chih-Duo Hong , Anthony W. Lin , Muhammad Najib , Daniel Neider

This paper investigates the synthesis of robust controllers from logical specification of regular properties given in an interval temporal logic QDDC. Our specification encompasses both hard robustness and soft robustness. Here, hard…

Logic in Computer Science · Computer Science 2019-05-28 Paritosh K. Pandya , Amol Wakankar

Recent years have witnessed the fast development of quantum computing. Researchers around the world are eager to run larger and larger quantum algorithms that promise speedups impossible to any classical algorithm. However, the available…

Hardware Architecture · Computer Science 2023-05-30 Bochen Tan , Jason Cong

The purpose of unitary synthesis is to find a gate sequence that optimally approximates a target unitary transformation. A new synthesis approach, called probabilistic synthesis, has been introduced, and its superiority has been…

Quantum Physics · Physics 2024-05-03 Seiseki Akibue , Go Kato , Seiichiro Tani