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We consider infinite heterogeneous networks, consisting of input-to-state stable subsystems of possibly infinite dimension. We show that the network is input-to-state stable, provided that the gain operator satisfies a certain small-gain…

Optimization and Control · Mathematics 2021-07-29 Andrii Mironchenko , Christoph Kawan , Jochen Glück

Feedback optimization is a control paradigm that enables physical systems to autonomously reach efficient operating points. Its central idea is to interconnect optimization iterations in closed-loop with the physical plant. Since iterative…

Optimization and Control · Mathematics 2024-07-16 Zhiyu He , Saverio Bolognani , Jianping He , Florian Dörfler , Xinping Guan

Output feedback control design for linear time-invariant systems in the presence of sporadic measurements and exogenous perturbations is addressed. To cope with the sporadic availability of measurements of the output, a hybrid dynamic…

Systems and Control · Electrical Eng. & Systems 2022-10-20 Roberto Merco , Francesco Ferrante , Ricardo G. Sanfelice , Pierluigi Pisu

In the present work, we consider nonlinear control systems for which there exist structural obstacles to the design of classical continuous backstepping feedback laws. We conceive feedback laws such that the origin of the closed-loop system…

Optimization and Control · Mathematics 2015-08-12 Humberto Stein Shiromoto , Vincent Andrieu , Christophe Prieur

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

Firstly, a new state feedback model reference adaptive control approach is developed for uncertain systems with gain scheduled reference models in a multi-input multi-output (MIMO) setting. Specifically, adaptive state feedback for output…

Optimization and Control · Mathematics 2014-03-18 Mehrdad Pakmehr , Tansel Yucelen

The purpose of this article is to introduce the original results which devoted with the nonlinear control system problems involves of nonlinear differential equations of fractional orders. Thus, this system is described with a mixed of…

Optimization and Control · Mathematics 2024-04-09 B. Hassoun , R. Al-Saphory , S. Hassan

Recent developments in data-driven control have revived interest in the behavioral approach to systems theory, where systems are defined as sets of trajectories rather than being described by a specific model or representation. However,…

Optimization and Control · Mathematics 2026-04-08 L. P. Wieringa , A. Padoan , F. Dorfler , J. Eising

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

We construct two error feedback controllers for robust output tracking and disturbance rejection of a regular linear system with nonsmooth reference and disturbance signals. We show that for sufficiently smooth signals the output converges…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen

Conditions for input-output stability of barrier-based model predictive control of linear systems with linear and convex nonlinear (hard or soft) constraints are established through the construction of integral quadratic constraints (IQCs).…

Systems and Control · Computer Science 2019-03-12 Panagiotis Petsagkourakis , William P. Heath , Joaquin Carrasco , Constantinos Theodoropoulos

For linear time-invariant systems, input-state data collected during an open-loop experiment can remedy the lack of knowledge of system parameters. However, such data do not contain information about other system uncertainties such as…

Optimization and Control · Mathematics 2025-10-02 Yongzhang Li , Amir Shakouri , M. Kanat Camlibel

In this technical communique, we develop a graphical design procedure for reset controllers for unstable LTI plants based on recent developments on Scaled Relative Graph analysis, yielding an $L_2$-gain performance bound. The stabilizing…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Julius P. J. Krebbekx , Roland Tóth , Amritam Das

We study the recently introduced notion of output-input stability, which is a robust variant of the minimum-phase property for general smooth nonlinear control systems. The subject of this paper is developing the theory of output-input…

Optimization and Control · Mathematics 2007-05-23 Daniel Liberzon

The paper deals with the control and regulation by integral controllers forthe nonlinear systems governed by scalar quasi-linear hyperbolic partial differentialequations. Both the control input and the measured output are located on the…

Analysis of PDEs · Mathematics 2019-04-30 Vincent Andrieu , Ngoc-Tu Trinh , Cheng-Zhong Xu

A high-gain observer is used for a class of feedback linearisable nonlinear systems to synthesize safety-preserving controllers over the observer output. A bound on the distance between trajectories under state and output feedback is…

Systems and Control · Computer Science 2016-03-23 Kendra Lesser , Alessandro Abate

Symbiotic control synergistically integrates fixed-gain control and adaptive learning architectures to mitigate system uncertainties more predictably than adaptive learning alone and without requiring prior knowledge of uncertainty bounds…

Systems and Control · Electrical Eng. & Systems 2024-11-18 Emre Yildirim , Tansel Yucelen , John T. Hrynuk

In this paper, we directly design a state feedback controller that stabilizes a class of uncertain nonlinear systems solely based on input-state data collected from a finite-length experiment. Necessary and sufficient conditions are derived…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Alessandro Luppi , Claudio De Persis , Pietro Tesi

Boundary feedback control design is studied for 1D hyperbolic systems with an in-domain disturbance and a boundary feedback controller under the effect of actuator saturation. Nonlinear semigroup theory is used to prove well-posedness of…

Optimization and Control · Mathematics 2022-05-18 Suha Shreim , Francesco Ferrante , Christophe Prieur

This paper presents a systematic approach to the design of a robust dynamic state feedback controller using copies of the plant nonlinearities, which is based on the use of IQCs and minimax LQR control. The approach combines a linear state…

Systems and Control · Computer Science 2014-04-16 Obaid Ur Rehman , Ian R. Petersen
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