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We study state-feedback design for continuous-time LTI systems with a control input and an external input-output pair. Our objective is to determine feedback gains that render the closed-loop system (strictly) passive with respect to the…

Optimization and Control · Mathematics 2026-05-07 Armin Gießler , Pol Jané-Soneira , Sören Hohmann

In this paper, we address the problem of globally stabilizing a linear time-invariant (LTI) system by means of a static feedback law whose amplitude and successive time derivatives, up to a prescribed order $p$, are bounded by arbitrary…

Systems and Control · Computer Science 2015-07-02 Jonathan Laporte , Antoine Chaillet , Yacine Chitour

In this paper, we study the application of switched systems stability criteria to derive delay-dependent conditions for systems affected by both a constant and a time-varying delay. The main novelty of our approach lies on the use of…

Optimization and Control · Mathematics 2022-09-13 Thiago Alves Lima , Matteo Della Rossa , Frédéric Gouaisbaut , Raphaël Jungers , Sophie Tarbouriech

Autonomous agents are often tasked with operating in an area where feedback is unavailable. Inspired by such applications, this paper develops a novel switched systems-based control method for uncertain nonlinear systems with temporary loss…

Systems and Control · Computer Science 2018-03-16 Hsi-Yuan Chen , Zachary I. Bell , Patryk Deptula , Warren E. Dixon

This paper analyzes internal stability of a discrete-time feedback system with a ReLU nonlinearity. This feedback system is motivated by recurrent neural networks. We first review existing static quadratic constraints (QCs) for…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Sahel Vahedi Noori , Bin Hu , Geir Dullerud , Peter Seiler

This work proposes a new procedure for the stabilization of time-delay systems using Static Output Feedback (SOF) control. A previous convex optimization approach to SOF for Ordinary Differential Equations (ODEs) is extended to time-delay…

Optimization and Control · Mathematics 2026-05-19 Danilo Braghini , Eduardo S. Tognetti , Matthew M. Peet

We present a novel continuous-time control strategy to exponentially stabilize an eigenstate of a Quantum Non-Demolition (QND) measurement operator. In open-loop, the system converges to a random eigenstate of the measurement operator. The…

Quantum Physics · Physics 2019-06-19 Gerardo Cardona , Alain Sarlette , Pierre Rouchon

We consider discrete-time quantum systems subject to Quantum Non-Demolition (QND) measurements and controlled by an adjustable unitary evolution between two successive QND measures. In open-loop, such QND measurements provide a…

Optimization and Control · Mathematics 2011-08-09 Hadis Amini , Pierre Rouchon , Mazyar Mirrahimi

This paper investigates almost sure exponential stabilization of continuous-time Markov jump linear systems (MJLSs) under communication data-rate constraints by introducing sampling and quantization into the feedback control. Different from…

Dynamical Systems · Mathematics 2021-10-29 Jingyi Wang , Jianwen Feng , Chen Xu , Xiaoqun Wu , Jinhu Lü

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

The aim of this paper is to present a symbolic computational algorithm that will allow us to deal with the feedback stabilization problem for continuous nonlinear polynomial systems. The overall approach is based on a methodology that…

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

In this paper, the design of a static feedback gain for a linear system subject to an input delay is studied. This synthesis is based on a stability analysis conducted using Lyapunov-Krasovskii theorem and Bessel-Legendre inequalities…

Optimization and Control · Mathematics 2019-04-30 Matthieu Barreau , Frédéric Gouaisbaut , Alexandre Seuret

It has been known in the robotics literature since about 1995 that, in polar coordinates, the nonholonomic unicycle is asymptotically stabilizable by smooth feedback, even globally. We introduce a modular design framework that selects the…

Systems and Control · Electrical Eng. & Systems 2026-01-09 Velimir Todorovski , Kwang Hak Kim , Alessandro Astolfi , Miroslav Krstic

This survey paper deals with the stabilization of nonlinear systems by analyzing the controlling method in terms of state feedback and output feedback. A brief overview of some literature on how the feedback controller of some dynamic…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Demelash Abiye Deguale

We analyze a classification of two main families of controllers that are of interest when the feedback loop is subject to switching propagation delays due to routing via a wireless multi-hop communication network. We show that we can cast…

Optimization and Control · Mathematics 2012-07-24 Raphael M. Jungers , Alessandro D'Innocenzo , Maria D. Di Benedetto

This paper presents a method for the synthesis of negative imaginary closed-loop systems with a prescribed degree of stability under the assumption of full state feedback. The approach extends existing work by using a perturbation method to…

Optimization and Control · Mathematics 2018-07-20 James Dannatt , Ian Petersen

This paper addresses the problem of exponential and accelerated finite-time, as well as nearly fixed-time, stabilization of switched linear MIMO systems. The proposed approach relies on a generalized homogenization framework for switched…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Moussa Labbadi , Andrey Polyakov , Denis Efimov

This paper proposes a dynamic quantum-assisted co-design framework for nonlinear closed-loop systems in which controller parameters and Lyapunov-certificate parameters are redesigned jointly at successive decision epochs. Unlike…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Milad Hasanzadeh , Amin Kargarian , Mehdi Farasat

Prediction-based transformation is applied to control-affine systems with distributed input delays. Transformed system state is calculated as a prediction of the system's future response to the past input with future input set to zero.…

Optimization and Control · Mathematics 2016-01-05 Anton Ponomarev

We extend results on backstepping hybrid feedbacks by exploiting synergistic Lyapunov function and feedback (SLFF) pairs in a generalized form. Compared to existing results, we delineate SLFF pairs that are ready-made and do not require…

Optimization and Control · Mathematics 2020-09-09 Christopher G. Mayhew , Ricardo G. Sanfelice , Andrew R. Teel
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