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Automatic synthesis from linear temporal logic (LTL) specifications is widely used in robotic motion planning, control of autonomous systems, and load distribution in power networks. A common specification pattern in such applications…

Logic in Computer Science · Computer Science 2018-04-03 Rayna Dimitrova , Mahsa Ghasemi , Ufuk Topcu

Signal temporal logic (STL) is a powerful tool for describing complex behaviors for dynamical systems. Among many approaches, the control problem for systems under STL task constraints is well suited for learning-based solutions, because…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Peter Varnai , Dimos V. Dimarogonas

This paper studies an optimal control problem for continuous-time stochastic systems subject to reachability objectives specified in a subclass of metric interval temporal logic specifications, a temporal logic with real-time constraints.…

Systems and Control · Computer Science 2015-04-21 Jie Fu , Ufuk Topcu

Temporal logic rules are often used in control and robotics to provide structured, human-interpretable descriptions of trajectory data. These rules have numerous applications including safety validation using formal methods, constraining…

Machine Learning · Computer Science 2025-04-29 Emi Soroka , Rohan Sinha , Sanjay Lall

In this paper we propose a stochastic model predictive control (MPC) algorithm for linear discrete-time systems affected by possibly unbounded additive disturbances and subject to probabilistic constraints. Constraints are treated in…

Systems and Control · Computer Science 2019-02-15 Lukas Hewing , Melanie N. Zeilinger

Signal Temporal Logic (STL) is a formal language for describing a broad range of real-valued, temporal properties in cyber-physical systems. While there has been extensive research on verification and control synthesis from STL…

This paper studies satisfying temporal logic specifications on stochastic dynamical systems, where the predicates evolve randomly over time. Such randomness may arise from uncertain environment models or external stochastic processes…

Optimization and Control · Mathematics 2026-05-12 Mohammad H. Mamduhi , Sadegh Soudjani

Human drivers naturally balance the risks of different concerns while driving, including traffic rule violations, minor accidents, and fatalities. However, achieving the same behavior in autonomous driving systems remains an open problem.…

Systems and Control · Electrical Eng. & Systems 2026-03-06 Shuhao Qi , Zengjie Zhang , Zhiyong Sun , Sofie Haesaert

This paper investigates the control synthesis for continuous-time uncertain systems under nested Signal Temporal Logic (STL) specifications containing nested temporal operators. Control Barrier Functions (CBFs) are utilized herein to encode…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Yuzhang Peng , Jiaqi Yan , Wei Wang

Researchers have previously proposed augmenting Signal Temporal Logic (STL) with the value freezing operator in order to express engineering properties that cannot be expressed in STL. This augmented logic is known as STL*. The previous…

Logic in Computer Science · Computer Science 2024-10-01 Bassem Ghorbel , Vinayak S. Prabhu

In this paper, we prove measurability of event for which a general continuous-time stochastic process satisfies continuous-time Metric Temporal Logic (MTL) formula. Continuous-time MTL can define temporal constrains for physical system in…

Logic in Computer Science · Computer Science 2024-08-07 Mitsumasa Ikeda , Yoriyuki Yamagata , Takayuki Kihara

This paper investigates the problem of designing control policies that satisfy high-level specifications described by signal temporal logic (STL) in unknown, stochastic environments. While many existing works concentrate on optimizing the…

Systems and Control · Electrical Eng. & Systems 2024-12-16 Siqi Wang , Shaoyuan Li , Li Yin , Xiang Yin

In this paper, we propose a chance constrained stochastic model predictive control scheme for reference tracking of distributed linear time-invariant systems with additive stochastic uncertainty. The chance constraints are reformulated…

Optimization and Control · Mathematics 2023-03-07 Christoph Mark , Steven Liu

The integration of cyber-physical systems (CPS) into everyday life raises the critical necessity of ensuring their safety and reliability. An important step in this direction is requirement mining, i.e. inferring formally specified system…

Machine Learning · Computer Science 2024-05-24 Gaia Saveri , Luca Bortolussi

Signal Temporal Logic (STL) is widely used to specify timed and safety-critical tasks for cyber-physical systems, but writing STL formulas directly is difficult for non-expert users. Natural language (NL) provides a convenient interface,…

Computation and Language · Computer Science 2026-03-31 Kosei Fushimi , Kazunobu Serizawa , Junya Ikemoto , Kazumune Hashimoto

To model combinatorial decision problems involving uncertainty and probability, we introduce scenario based stochastic constraint programming. Stochastic constraint programs contain both decision variables, which we can set, and stochastic…

Artificial Intelligence · Computer Science 2009-03-09 S. Armagan Tarim , Suresh Manandhar , Toby Walsh

In this paper we present a dynamic programing approach to stochastic optimal control problems with dynamic, time-consistent risk constraints. Constrained stochastic optimal control problems, which naturally arise when one has to consider…

Optimization and Control · Mathematics 2015-11-24 Yin-Lam Chow , Marco Pavone

In this paper, we consider a multi-objective control problem for stochastic systems that seeks to minimize a cost of interest while ensuring safety. We introduce a novel measure of safety risk using the conditional value-at-risk and a set…

Optimization and Control · Mathematics 2018-02-23 Samantha Samuelson , Insoon Yang

Constraint tightening to non-conservatively guarantee recursive feasibility and stability in Stochastic Model Predictive Control is addressed. Stability and feasibility requirements are considered separately, highlighting the difference…

Systems and Control · Computer Science 2016-05-13 Matthias Lorenzen , Fabrizio Dabbene , Roberto Tempo , Frank Allgöwer

Learning dynamical systems properties from data provides important insights that help us understand such systems and mitigate undesired outcomes. In this work, we propose a framework for learning spatio-temporal (ST) properties as formal…

Machine Learning · Computer Science 2022-11-08 Suhail Alsalehi , Erfan Aasi , Ron Weiss , Calin Belta
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