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We study the regularization problem for port-Hamiltonian descriptor systems by proportional and/or derivative output feedback. Necessary and sufficient conditions are given, which guarantee that there exist output feedbacks such that the…

Optimization and Control · Mathematics 2025-12-02 Delin Chu , Volker Mehrmann

Dynamical control of biological systems is often restricted by the practical constraint of unidirectional parameter perturbations. We show that such a restriction introduces surprising complexity to the stability of one-dimensional map…

Chaotic Dynamics · Physics 2009-10-31 Kevin Hall , David J. Christini

Reinforcement learning has been successfully used to solve difficult tasks in complex unknown environments. However, these methods typically do not provide any safety guarantees during the learning process. This is particularly problematic,…

Systems and Control · Electrical Eng. & Systems 2019-07-02 Torsten Koller , Felix Berkenkamp , Matteo Turchetta , Joschka Boedecker , Andreas Krause

This paper investigates the linear output regulation problem with both the exosystem and the plant fully unknown. A data-driven regulator is proposed to achieve asymptotic regulation and closed-loop stability without performing model…

Systems and Control · Electrical Eng. & Systems 2025-12-08 Shangkun Liu , Lei Wang , Bowen Yi

Generating accurate runtime safety estimates for autonomous systems is vital to ensuring their continued proliferation. However, exhaustive reasoning about future behaviors is generally too complex to do at runtime. To provide scalable and…

Logic in Computer Science · Computer Science 2023-03-30 Matthew Cleaveland , Oleg Sokolsky , Insup Lee , Ivan Ruchkin

In order to certify performance and safety, feedback control requires precise characterization of sensor errors. In this paper, we provide guarantees on such feedback systems when sensors are characterized by solving a supervised learning…

Machine Learning · Computer Science 2021-04-20 Sarah Dean , Benjamin Recht

Timeout control is a simple mechanism used when direct feedback is either impossible, unreliable, or too costly, as is often the case in distributed systems. Its effectiveness is determined by a timeout threshold parameter and our goal is…

Optimization and Control · Mathematics 2015-03-20 Ali Kebarighotbi , Christos G. Cassandras

In this position paper, we study interactive learning for structured output spaces, with a focus on active learning, in which labels are unknown and must be acquired, and on skeptical learning, in which the labels are noisy and may need…

Machine Learning · Computer Science 2022-02-18 Stefano Teso , Antonio Vergari

This paper presents a new experiment design method for data-driven modeling and control. The idea is to select inputs online (using past input/output data), leading to desirable rank properties of data Hankel matrices. In comparison to the…

Optimization and Control · Mathematics 2021-04-15 Henk J. van Waarde

Real world evolves in continuous time but computations are done from finite samples. Therefore, we study algorithms using finite observations in continuous-time linear dynamical systems. We first study the system identification problem, and…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Hongyi Zhou , Jingwei Li , Jingzhao Zhang

Given a non-contracting trajectory of a nonlinear system, we consider the question of designing an input perturbation that makes the perturbed trajectory contracting. This paper stresses the analogy of this question with the classical…

Systems and Control · Electrical Eng. & Systems 2022-09-12 Jin Gyu Lee , Thiago B. Burghi , Rodolphe Sepulchre

This work presents a new sufficient condition for synthesizing nonlinear controllers that yield bounded closed-loop tracking error transients despite the presence of unmatched uncertainties that are concurrently being learned online. The…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Samuel G. Gessow , Brett T. Lopez

We demonstrate how to use feedback to control the internal states of trapped coherent ensembles of two-level atoms, and to protect a superposition state against the decoherence induced by a collective noise. Our feedback scheme is based on…

Atomic Physics · Physics 2015-05-05 T. Vanderbruggen , R. Kohlhaas , A. Bertoldi , S. Bernon , A. Aspect , A. Landragin , P. Bouyer

The main objective of this paper is to analyze a closed-loop feedback system where a transmitter probes a discrete memoryless channel (DMC) and can adapt its inputs based on the previous channel outputs. We prove that, regardless of the…

Information Theory · Computer Science 2025-07-23 Thomas Sturma , Michèle Wigger

Chance constraints are widely used in stochastic model predictive control (MPC) to enforce probabilistic state and input constraints in the presence of unbounded disturbances. However, they only restrict violation probabilities and do not…

Optimization and Control · Mathematics 2026-04-14 Jonas Schießl , Ruchuan Ou , Michael H. Baumann , Timm Faulwasser , Lars Grüne

In real-world control applications, actuator constraints and output constraints (specifically in tracking problems) are inherent and critical to ensuring safe and reliable operation. However, generally, control strategies often neglect…

Systems and Control · Electrical Eng. & Systems 2025-04-17 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha

A new technique for performance regulation in event-driven systems, recently proposed by the authors, consists of an adaptive-gain integral control. The gain is adjusted in the control loop by a real-time estimation of the derivative of the…

Optimization and Control · Mathematics 2016-04-12 Xinwei Chen , Yorai Wardi , Sudhakar Yalamanchili

We present the stability analysis for the new regulation-triggered approach to adaptive control introduced in a companion paper. Due to the fact that the closed-loop system is hybrid, our proofs have essential differences from the…

Optimization and Control · Mathematics 2016-09-13 Iasson Karafyllis , Miroslav Krstic

This study solves the output regulation problem for a reaction-diffusion system confronting concurrent input delay and fully unidentified disturbances (encompassing both unknown frequencies and amplitudes) across all channels. The principal…

Optimization and Control · Mathematics 2025-04-22 Shen Wang , Zhong-Jie Han , Kai Liu , Zhi-Xue Zhao

The barrier function method for safety control typically assumes the availability of full state information. Unfortunately, in many scenarios involving uncertain dynamical systems, full state information is often unavailable. In this paper,…

Systems and Control · Electrical Eng. & Systems 2023-08-02 Binghan He , Takashi Tanaka
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