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This paper proposes to use probabilistic model checking to synthesize optimal robot policies in multi-tasking autonomous systems that are subject to human-robot interaction. Given the convincing empirical evidence that human behavior can be…

Artificial Intelligence · Computer Science 2016-11-01 Sebastian Junges , Nils Jansen , Joost-Pieter Katoen , Ufuk Topcu

Uncertainties influencing the dynamical systems pose a significant challenge in estimating the achievable performance of a controller aiming to control such uncertain systems. When the uncertainties are of stochastic nature, obtaining hard…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Venkatraman Renganathan

Our goal is to compute a policy that guarantees improved return over a baseline policy even when the available MDP model is inaccurate. The inaccurate model may be constructed, for example, by system identification techniques when the true…

Optimization and Control · Mathematics 2015-06-17 Yinlam Chow , Marek Petrik , Mohammad Ghavamzadeh

There has been an increasing interest in using neural networks in closed-loop control systems to improve performance and reduce computational costs for on-line implementation. However, providing safety and stability guarantees for these…

Systems and Control · Electrical Eng. & Systems 2020-04-20 Haimin Hu , Mahyar Fazlyab , Manfred Morari , George J. Pappas

Design and control of autonomous systems that operate in uncertain or adversarial environments can be facilitated by formal modelling and analysis. Probabilistic model checking is a technique to automatically verify, for a given temporal…

Logic in Computer Science · Computer Science 2021-11-23 Marta Kwiatkowska , Gethin Norman , David Parker

Despite great successes, model predictive control (MPC) relies on an accurate dynamical model and requires high onboard computational power, impeding its wider adoption in engineering systems, especially for nonlinear real-time systems with…

Systems and Control · Electrical Eng. & Systems 2023-07-03 Amin Vahidi-Moghaddam , Kaian Chen , Kaixiang Zhang , Zhaojian Li , Yan Wang , Kai Wu

In recent years, Neural Networks (NNs) have been employed to control nonlinear systems due to their potential capability in dealing with situations that might be difficult for conventional nonlinear control schemes. However, to the best of…

Optimization and Control · Mathematics 2025-02-04 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

We study the problem of safety verification of direct perception neural networks, where camera images are used as inputs to produce high-level features for autonomous vehicles to make control decisions. Formal verification of direct…

Software Engineering · Computer Science 2019-11-22 Chih-Hong Cheng , Chung-Hao Huang , Thomas Brunner , Vahid Hashemi

Decision-making under uncertainty is a critical aspect of many practical autonomous systems due to incomplete information. Partially Observable Markov Decision Processes (POMDPs) offer a mathematically principled framework for formulating…

Artificial Intelligence · Computer Science 2025-10-28 Moran Barenboim , Vadim Indelman

Surrogate Neural Networks are nowadays routinely used in industry as substitutes for computationally demanding engineering simulations (e.g., in structural analysis). They allow to generate faster predictions and thus analyses in industrial…

Safety in terms of collision avoidance for multi-robot systems is a difficult challenge under uncertainty, non-determinism and lack of complete information. This paper aims to propose a collision avoidance method that accounts for both…

Robotics · Computer Science 2020-12-09 Wenhao Luo , Wen Sun , Ashish Kapoor

Safe control with guarantees generally requires the system model to be known. It is far more challenging to handle systems with uncertain parameters. In this paper, we propose a generic algorithm that can synthesize and verify safe…

Systems and Control · Electrical Eng. & Systems 2025-11-12 Simin Liu , Kai S. Yun , John M. Dolan , Changliu Liu

Control of complex systems involves both system identification and controller design. Deep neural networks have proven to be successful in many identification tasks, however, from model-based control perspective, these networks are…

Optimization and Control · Mathematics 2019-02-28 Yize Chen , Yuanyuan Shi , Baosen Zhang

Online planning for partially observable Markov decision processes (POMDPs) provides efficient techniques for robot decision-making under uncertainty. However, existing methods fall short of preventing safety violations in dynamic…

Robotics · Computer Science 2024-09-10 Shili Sheng , Pian Yu , David Parker , Marta Kwiatkowska , Lu Feng

This paper presents a safe model predictive control (SMPC) framework designed to ensure the satisfaction of hard constraints for systems perturbed by an external disturbance. Such safety guarantees are ensured, despite the disturbance, by…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Ying Shuai Quan , Mohammad Jeddi , Francesco Prignoli , Paolo Falcone

Solving partially observable Markov decision processes (POMDPs) with high dimensional and continuous observations, such as camera images, is required for many real life robotics and planning problems. Recent researches suggested machine…

Artificial Intelligence · Computer Science 2025-05-27 Idan Lev-Yehudi , Moran Barenboim , Vadim Indelman

Nonlinear dynamics and safety constraints typically result in a nonlinear programming problem when applying model predictive control to achieve safe output consensus. To avoid the heavy computational burden of solving a nonlinear…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Chao Wang , Shuyuan Zhang , Lei Wang

Probabilistic model checking is a technique for formal automated reasoning about software or hardware systems that operate in the context of uncertainty or stochasticity. It builds upon ideas and techniques from a diverse range of fields,…

Logic in Computer Science · Computer Science 2023-08-08 David Parker

Neural manifolds are an attractive theoretical framework for characterizing the complex behaviors of neural populations. However, many of the tools for identifying these low-dimensional subspaces are correlational and provide limited…

Neurons and Cognition · Quantitative Biology 2025-08-12 Christof Fehrman , C. Daniel Meliza

Neural networks offer a computationally efficient approximation of model predictive control, but they lack guarantees on the resulting controlled system's properties. Formal certification of neural networks is crucial for ensuring safety,…

Optimization and Control · Mathematics 2025-02-05 Philip Sosnin , Calvin Tsay