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The control of complex systems faces a trade-off between high performance and safety guarantees, which in particular restricts the application of learning-based methods to safety-critical systems. A recently proposed framework to address…

Systems and Control · Computer Science 2020-05-26 Kim P. Wabersich , Melanie N. Zeilinger

A fault-tolerant negotiation-based intersection crossing protocol is presented. Rigorous analytic proofs are used for demonstrating the correctness and fault-tolerance properties. Experimental results validate the correctness proof via…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-12 Antonio Casimiro , Emelie Ekenstedt , Elad Michael Schiller

In this paper, we present a computational approach to certify almost sure reachability for discrete-time polynomial stochastic systems by turning drift--variant criteria into sum-of-squares (SOS) programs solved with standard semidefinite…

Optimization and Control · Mathematics 2025-10-30 Arash Bahari Kordabad , Rupak Majumdar , Sadegh Soudjani

In this paper, we present an algorithm for synthesizing certificates---so-called barrier certificates---for safety of hybrid dynamical systems. Unlike the usual approach of using constraint solvers to compute the certificate from the system…

Systems and Control · Computer Science 2018-10-23 Stefan Ratschan

Ensuring string stability is critical for the safety and efficiency of large-scale interconnected systems. Although learning-based controllers (e.g., those based on reinforcement learning) have demonstrated strong performance in complex…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Jingyuan Zhou , Haoze Wu , Haokun Yu , Kaidi Yang

Sums-of-squares (SOS) optimization is a promising tool to synthesize certifiable controllers for nonlinear dynamical systems. Building upon prior works, we demonstrate that SOS can synthesize dynamic controllers with bounded suboptimal…

Robotics · Computer Science 2023-08-01 Lujie Yang , Hongkai Dai , Alexandre Amice , Russ Tedrake

Safety is a critical property for control systems in medicine, transportation, manufacturing, and other applications, and can be defined as ensuring positive invariance of a predefined safe set. This paper investigates the problems of…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Andrew Clark

Compositional barrier functions are proposed in this paper to systematically compose multiple objectives for teams of mobile robots. The objectives are first encoded as barrier functions, and then composed using AND and OR logical…

Robotics · Computer Science 2016-08-25 Li Wang , Aaron D. Ames , Magnus Egerstedt

This paper proposes a consensus controller for multi-agent systems that can guarantee the agents' safety. The controller, built with the idea of output prediction and the Newton-Raphson method, achieves consensus for a class of…

Systems and Control · Electrical Eng. & Systems 2023-10-03 Kaicheng Niu , Chaouki Abdallah , Mohammad Hayajneh

In this paper we discuss how to generate inductive invariants for safety verification of hybrid systems. A hybrid symbolic-numeric method is presented to compute inequality inductive invariants of the given systems. A numerical invariant of…

Software Engineering · Computer Science 2015-03-19 Wang Lin , Min Wu , Zhengfeng Yang , Zhenbing Zeng

This paper focuses on the controller synthesis for unknown, nonlinear systems while ensuring safety constraints. Our approach consists of two steps, a learning step that uses Gaussian processes and a controller synthesis step that is based…

Systems and Control · Electrical Eng. & Systems 2020-10-13 Pushpak Jagtap , George J. Pappas , Majid Zamani

Virtual integration techniques focus on building architectural models of systems that can be analyzed early in the design cycle to try to lower cost, reduce risk, and improve quality of complex embedded systems. Given appropriate…

Software Engineering · Computer Science 2015-11-18 Andreas Katis , Andrew Gacek , Michael W. Whalen

Contract automata allow to formally define the behaviour of service contracts in terms of service offers and requests, some of which are moreover optional and some of which are necessary. A composition of contracts is said to be in…

Formal Languages and Automata Theory · Computer Science 2023-08-24 Davide Basile , Maurice H. ter Beek

In this paper, we address the problem of safety verification of interval hybrid systems in which the coefficients are intervals instead of explicit numbers. A hybrid symbolic-numeric method, based on SOS relaxation and interval arithmetic…

Symbolic Computation · Computer Science 2013-02-26 Zhengfeng Yang , Min Wu , Wang Lin

In human-robot collaboration (HRC), software-based automatic safety controllers (ASCs) are used in various forms (e.g. shutdown mechanisms, emergency brakes, interlocks) to improve operational safety. Complex robotic tasks and increasingly…

Robotics · Computer Science 2025-03-21 Mario Gleirscher , Radu Calinescu

This paper presents a novel approach for the safe control design of systems with parametric uncertainties in both drift terms and control-input matrices. The method combines control barrier functions and adaptive laws to generate a safe…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Yujie Wang , Xiangru Xu

In this paper, we consider the problem of verifying safety constraint satisfaction for single-input single-output systems with uncertain transfer function coefficients. We propose a new type of barrier function based on a vector norm. This…

Optimization and Control · Mathematics 2020-08-04 Binghan He , Gray C. Thomas , Luis Sentis

We propose an adversarial, time-varying test-synthesis procedure for safety-critical systems without requiring specific knowledge of the underlying controller steering the system. From a broader test and evaluation context, determination of…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Prithvi Akella , Mohamadreza Ahmadi , Richard M. Murray , Aaron D. Ames

The prolific rise in autonomous systems has led to questions regarding their safe instantiation in real-world scenarios. Failures in safety-critical contexts such as human-robot interactions or even autonomous driving can ultimately lead to…

Systems and Control · Electrical Eng. & Systems 2020-04-10 Prithvi Akella , Mohamadreza Ahmadi , Richard M. Murray , Aaron D. Ames

Ensuring constraint satisfaction in large-scale systems with hard constraints is vital in many safety critical systems. The challenge is to design controllers that are efficiently synthesized offline, easily implementable online, and…

Systems and Control · Electrical Eng. & Systems 2019-09-18 Kasra Ghasemi , Sadra Sadraddini , Calin Belta