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In this paper, we present necessary and sufficient conditions under which a linear time-invariant (LTI) system is state feedback equivalent to a negative imaginary (NI) system. More precisely, we show that a minimal LTI strictly proper…

Systems and Control · Electrical Eng. & Systems 2021-09-24 Kanghong Shi , Ian R. Petersen , Igor G. Vladimirov

The main challenge for adaptive regulation of linear-quadratic systems is the trade-off between identification and control. An adaptive policy needs to address both the estimation of unknown dynamics parameters (exploration), as well as the…

Systems and Control · Computer Science 2019-04-01 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

Recently, there has been a surge of research on a class of methods called feedback optimization. These are methods to steer the state of a control system to an equilibrium that arises as the solution of an optimization problem. Despite the…

Optimization and Control · Mathematics 2026-02-18 Giannis Delimpaltadakis , Pol Mestres , Jorge Cortés , W. P. M. H. Heemels

The vast majority of today's critical infrastructure is supported by numerous feedback control loops and an attack on these control loops can have disastrous consequences. This is a major concern since modern control systems are becoming…

Optimization and Control · Mathematics 2014-12-23 Hamza Fawzi , Paulo Tabuada , Suhas Diggavi

The stable combination of optimal feedback policies with online learning is studied in a new control-theoretic framework for uncertain nonlinear systems. The framework can be systematically used in transfer learning and sim-to-real…

Systems and Control · Electrical Eng. & Systems 2022-04-13 Brett T. Lopez , Jean-Jacques E. Slotine

The increased penetration of volatile renewable energy into distribution networks necessities more efficient distributed voltage control. In this paper, we design distributed feedback control algorithms where each bus can inject \emph{both…

Systems and Control · Computer Science 2020-01-29 Sindri Magnússon , Guannan Qu , Na Li

In this article, we present a stabilization feedback law with integral action for conservative abstract linear systems subjected to actuator nonlinearity. Based on the designed control law, we first prove the well-posedness and global…

Optimization and Control · Mathematics 2024-05-17 Ling Ma , Vincent Andrieu , Daniele Astolfi , Mathieu Bajodek , Cheng-Zhong Xu , Xuyang Lou

We design a new feedback law to stabilize a linear infinite-dimensional control system, where the state operator generates a C0-group and the control operator is unbounded. Our feedback law is based on the integration of a mutated Gramian…

Optimization and Control · Mathematics 2022-05-19 Yaxing Ma , Gengsheng Wang , Huaiqiang Yu

In this paper we show that feedback passivation under sampling can be preserved under digital control through the redefinition of a passifying output map which depends on the sampling period. The design is constructive and approximate…

Systems and Control · Electrical Eng. & Systems 2021-03-19 Mattia Mattioni , Alessio Moreschini , Salvatore Monaco , Dorothée Normand-Cyrot

The event-triggered control with intermittent output can reduce the communication burden between the controller and plant side over the network. It has been exploited for adaptive output feedback control of uncertain nonlinear systems in…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Gewei Zuo , Lijun Zhu

The growing integration of inverter-based resources (IBRs) into modern power systems poses significant challenges for maintaining reliable operation under dynamic and constrained conditions. This paper focuses on the power tracking problem…

Systems and Control · Electrical Eng. & Systems 2025-03-17 Zixiao Ma , Baosen Zhang

In this paper, we study the problem of certifying the stability of a closed loop system which receives feedback from an energy harvesting sensor. This is important, as energy harvesting sensors are recharged stochastically, and may only be…

Optimization and Control · Mathematics 2017-12-22 Nicholas J. Watkins , Konstantinos Gatsis , Cameron Nowzari , George J. Pappas

The objective of this research is to enable safety-critical systems to simultaneously learn and execute optimal control policies in a safe manner to achieve complex autonomy. Learning optimal policies via trial and error, i.e., traditional…

Systems and Control · Electrical Eng. & Systems 2022-04-05 S M Nahid Mahmud , Moad Abudia , Scott A Nivison , Zachary I. Bell , Rushikesh Kamalapurkar

Robust imitation learning seeks to mimic expert controller behavior while ensuring stability, but current methods require accurate plant models. Here, robust imitation learning is addressed for stabilizing poorly modeled plants with linear…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Amy K. Strong , Ethan J. LoCicero , Leila Bridgeman

Renewables are key enablers for the realization of a sustainable energy supply but grid operators and energy utilities have to mange their intermittent behavior and limited storage capabilities by ensuring the security of supply and power…

Systems and Control · Computer Science 2018-12-27 Marcel Otte , Fabian Leimgruber , Roland Bründlinger , Sebastian Rohjans , Aadil Latif , Thomas I. Strasser

The present work address the problem of energy shaping for stochastic port-Hamiltonian system. Energy shaping is a powerful technique that allows to systematically find feedback law to shape the Hamiltonian of a controlled system so that,…

Probability · Mathematics 2022-02-18 Francesco G. Cordoni , Luca Di Persio , Riccardo Muradore

Robust control design is mainly devoted to guarantee closed-loop stability of a model-based control law in presence of parametric and structural uncertainties. The control law is usually a complex feedback law which is derived from a…

Systems and Control · Computer Science 2011-08-12 Enrico Canuto , Wilber Acuna-Bravo , Andrés Molano-Jimenez , José Ospina , Carlos Perez-Montenegro

Strictly speaking, Newton's second law of motion is only an approximation of the so-called relativistic dynamics, i.e., Einstein's modification of the second law based on his theory of special relativity. Although the approximation is…

Systems and Control · Electrical Eng. & Systems 2021-01-14 Song Fang , Quanyan Zhu

This theoretical work considers the following conundrum: linear response theory is successfully used by scientists in numerous fields, but mathematicians have shown that typical low-dimensional dynamical systems violate the theory's…

Dynamical Systems · Mathematics 2018-08-01 Caroline L. Wormell , Georg A. Gottwald

In many practical applications of control theory some constraints on the state and/or on the control need to be imposed. In this paper, we prove controllability results for semilinear parabolic equations under positivity constraints on the…

Optimization and Control · Mathematics 2018-05-16 Dario Pighin , Enrique Zuazua