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There exist many ways to stabilize an infinite-dimensional linear autonomous control systems when it is possible. Anyway, finding an exponentially stabilizing feedback control that is as simple as possible may be a challenge. The Riccati…

Optimization and Control · Mathematics 2019-06-26 Emmanuel Trélat , Gengsheng Wang , Yashan Xu

This paper proposes efficient policy iteration and value iteration algorithms for the continuous-time linear quadratic regulator problem with unmeasurable states and unknown system dynamics, from the perspective of direct data-driven…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Jun Xie , Yuan-Hua Ni , Yiqin Yang , Bo Xu

This paper develops a sequential-linearization feedback optimization framework for driving nonlinear dynamical systems to an optimal steady state. A fundamental challenge in feedback optimization is the requirement of accurate first-order…

Optimization and Control · Mathematics 2025-07-22 Shijie Huang , Sergio Grammatico

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

In this paper, we consider the problem of distributed optimal control of linear dynamical systems with a quadratic cost criterion. We study the case of output feedback control for two interconnected dynamical systems, and show that the…

Optimization and Control · Mathematics 2012-04-18 Ather Gattami , Omid Khorsand

Living organisms rely on endogenous feedback mechanisms to maintain homeostasis in the presence of uncertainty and environmental fluctuations. An emerging challenge at the interface of control systems engineering and synthetic biology is…

Systems and Control · Electrical Eng. & Systems 2026-02-24 Mario di Bernardo

The paper considers the generalization of the method proposed by I.B. Furtat, P.A. Gushchin in "Automation and Remote Control", 2021, No. 4 for systems with an arbitrary ratio of the number of input and output signals and with a guarantee…

Optimization and Control · Mathematics 2023-06-07 Igor Furtat , Pavel Gushchin , Nguyen Ba Huy

Real-world systems are often characterized by high-dimensional nonlinear dynamics, making them challenging to control in real time. While reduced-order models (ROMs) are frequently employed in model-based control schemes, dimensionality…

Systems and Control · Electrical Eng. & Systems 2023-09-13 John Irvin Alora , Luis A. Pabon , Johannes Köhler , Mattia Cenedese , Ed Schmerling , Melanie N. Zeilinger , George Haller , Marco Pavone

Numerical homotopy continuation methods for three classes of polynomial systems are presented. For a generic instance of the class, every path leads to a solution and the homotopy is optimal. The counting of the roots mirrors the resolution…

Numerical Analysis · Mathematics 2025-10-20 Jan Verschelde

Many optimization problems can be naturally represented as (hyper) graphs, where vertices correspond to variables and edges to tasks, whose cost depends on the values of the adjacent variables. Capitalizing on the structure of the graph,…

Logic in Computer Science · Computer Science 2015-04-13 Nicklas Hoch , Ugo Montanari , Matteo Sammartino

The fundamental lemma by Jan C. Willems and co-authors enables the representation of all input-output trajectories of a linear time-invariant system by measured input-output data. This result has proven to be pivotal for data-driven…

Systems and Control · Electrical Eng. & Systems 2024-11-06 Guanru Pan , Ruchuan Ou , Timm Faulwasser

A re-entrant manufacturing system producing a large number of items and involving many steps can be approximately modeled by a hyperbolic partial differential equation (PDE) according to mass conservation law with respect to a continuous…

Optimization and Control · Mathematics 2016-11-15 Xiaodong Xu , Stevan Dubljevic

We address modeling and control of a gate access automation system. A model of the mechatronic system is derived and identified. Then an approximate explicit feedback linearization scheme is proposed, which ensures almost linear response…

Systems and Control · Electrical Eng. & Systems 2021-09-29 Daniel Cunico , Angelo Cenedese , Luca Zaccarian , Mauro Borgo

Robot navigation around humans can be a challenging problem since human movements are hard to predict. Stochastic model predictive control (MPC) can account for such uncertainties and approximately bound the probability of a collision to…

Robotics · Computer Science 2024-07-22 Yunfan Gao , Florian Messerer , Niels van Duijkeren , Moritz Diehl

This paper, the second of a two-part series, presents a method for mean-field feedback stabilization of a swarm of agents on a finite state space whose time evolution is modeled as a continuous time Markov chain (CTMC). The resulting…

Systems and Control · Computer Science 2017-03-29 Shiba Biswal , Karthik Elamvazhuthi , Spring Berman

Late-lumping feedback design for infinite-dimensional linear systems with unbounded input operators is considered. The proposed scheme is suitable for the approximation of backstepping and flatness-based designs and relies on a…

Optimization and Control · Mathematics 2022-11-03 Marcus Riesmeier , Frank Woittennek

We propose a general strategy for feedback control design of complex dynamical systems exploiting the nonlinear mechanisms in a systematic unsupervised manner. These dynamical systems can have a state space of arbitrary dimension with…

Chaotic Dynamics · Physics 2013-11-22 Thomas Duriez , Vladimir Parezanovic , Bernd R. Noack , Laurent Cordier , Marc Segond , Markus Abel

Modern implementations of Hamiltonian Monte Carlo and related MCMC algorithms support sampling of probability functions that embed numerical root-finding algorithms, thereby allowing fitting of statistical models involving analytically…

Computation · Statistics 2025-06-19 Teddy Groves , Nicholas Luke Cowie , Lars Keld Nielsen

We discuss how to use a Genetic Regulatory Network as an evolutionary representation to solve a typical GP reinforcement problem, the pole balancing. The network is a modified version of an Artificial Regulatory Network proposed a few years…

Artificial Intelligence · Computer Science 2010-05-20 Miguel Nicolau , Marc Schoenauer , W. Banzhaf

Feedback loops between population dynamics of individuals and their ecological environment are ubiquitously found in nature, and have shown profound effects on the resulting eco-evolutionary dynamics. Incorporating linear environmental…

Physics and Society · Physics 2020-07-01 Xin Wang , Zhiming Zheng , Feng Fu
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