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This paper deals with the problem of robust output regulation of systems governed by nonlinear contraction semigroups. After adding an integral action to the system, we design a feedback law based on the so-called forwarding approach. For…

Optimization and Control · Mathematics 2023-04-25 Nicolas Vanspranghe , Lucas Brivadis

The goal of multi-task learning is to learn diverse tasks within a single unified network. As each task has its own unique objective function, conflicts emerge during training, resulting in negative transfer among them. Earlier research…

Machine Learning · Computer Science 2024-06-06 Wooseong Jeong , Kuk-Jin Yoon

The problem of linear equivalence for a general class of nonlinear systems, is examined throughout this paper. A relevant algorithm is developed, based on a factorization procedure. This factorization is based on the star-product, an…

Optimization and Control · Mathematics 2007-05-23 Stelios Kotsios

We consider the problem of output feedback stabilization in linear systems when the measured outputs and control inputs are subject to event-triggered sampling and dynamic quantization. A new sampling algorithm is proposed for outputs which…

Dynamical Systems · Mathematics 2016-09-26 Aneel Tanwani , Christophe Prieur , Mirko Fiacchini

We tackle the problem of system identification, where we select inputs, observe the corresponding outputs from the true system, and optimize the parameters of our model to best fit the data. We propose a practical and computationally…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Alexandros E. Tzikas , Mykel J. Kochenderfer

Systems that show different characteristics, such as finite-gain and passivity, depending on the nature of the inputs, are said to possess mixed input-output properties. In this paper, we provide a constructive method for characterizing…

Systems and Control · Electrical Eng. & Systems 2024-09-10 Sebastiaan van den Eijnden , Thomas Chaffey

Recently, inverse problems have attracted more and more attention in computational mathematics and become increasingly important in engineering applications. After the discretization, many of inverse problems are reduced to linear systems.…

Numerical Analysis · Mathematics 2022-04-07 Gong Rongfang , Huang Qin

Controllability and observability energy functions play a fundamental role in model order reduction and are inherently connected to optimal control problems. For linear dynamical systems the energy functions are known to be quadratic…

Dynamical Systems · Mathematics 2025-02-11 Linus Balicki , Serkan Gugercin

We develop a predictor-feedback control design for multi-input nonlinear systems with distinct input delays, of arbitrary length, in each individual input channel. Due to the fact that different input signals reach the plant at different…

Optimization and Control · Mathematics 2015-08-25 Nikolaos Bekiaris-Liberis , Miroslav Krstic

Control-affine output systems generically present observability singularities, i.e. inputs that make the system unobservable. This proves to be a difficulty in the context of output feedback stabilization, where this issue is usually…

Optimization and Control · Mathematics 2021-01-18 Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

This article addresses the nonadaptive and robust output regulation problem of the general nonlinear output feedback system with error output. The global robust output regulation problem for a class of general output feedback nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-06-26 Shimin Wang , Martin Guay , Richard D. Braatz

This paper explores the decentralized control of linear deterministic systems in which different controllers operate based on distinct state information, and extends the findings to the output feedback scenario. Assuming the controllers…

Optimization and Control · Mathematics 2024-09-09 Hongdan Li , Yawen Sun , Huanshui Zhang

The linearization method builds a bridge from mature methods for linear systems to nonlinear systems and has been widely used in various areas. There are currently two main linearization methods: Jacobian linearization and feedback…

Optimization and Control · Mathematics 2024-06-04 Quan Quan , Jinrui Ren

Linear time-invariant systems are very popular models in system theory and applications. A fundamental problem in system identification that remains rather unaddressed in extant literature is to leverage commonalities amongst related linear…

Machine Learning · Statistics 2024-01-03 Aditya Modi , Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

This paper studies the problem of stabilizing a continuous-time switched linear system by quantized output feedback. We assume that the quantized outputs and the switching signal are available to the controller at all time. We develop an…

Systems and Control · Computer Science 2014-03-20 Masashi Wakaiki , Yutaka Yamamoto

Neural network have achieved remarkable successes in many scientific fields. However, the interpretability of the neural network model is still a major bottlenecks to deploy such technique into our daily life. The challenge can dive into…

Machine Learning · Computer Science 2023-10-26 Zhimin Li , Shusen Liu , Kailkhura Bhavya , Timo Bremer , Valerio Pascucci

The cyclic output-to-output gain is a security metric for control systems. Commonly, it is computed by solving a semi-definite program, which scales badly and inhibits its use for large-scale systems. We propose a method for computing the…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Daniel Arnström , André M. H. Teixeira

Feedback optimization enables autonomous optimality seeking of a dynamical system through its closed-loop interconnection with iterative optimization algorithms. Among various iteration structures, model-based approaches require the…

Optimization and Control · Mathematics 2026-05-26 Zhiyu He , Saverio Bolognani , Michael Muehlebach , Florian Dörfler

We address a particular problem of output regulation for multi-input multi-output nonlinear systems. Specifically, we are interested in making the stability of an equilibrium point and the regulation to zero of an output, robust to (small)…

Systems and Control · Computer Science 2015-08-04 Daniele Astolfi , Laurent Praly

We consider the problem of designing a state feedback control law to achieve nonovershooting tracking for feedback linearisable multiple-input multiple-output nonlinear systems. The reference signal is assumed to be obtained from a linear…

Optimization and Control · Mathematics 2019-10-18 Robert Schmid