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Switching controlled dynamics allows for fast, flexible control design methods for quantum stabilization of pure states and subspaces, which naturally include both Hamiltonian and dissipative control actions. A novel approach to…

Quantum Physics · Physics 2024-06-24 Weichao Liang , Tommaso Grigoletto , Francesco Ticozzi

The sterile insect technique controls mosquito-borne diseases such as malaria, dengue, and yellow fever through either eradication or depressing the associated vector population. We formulate a three-dimensional delayed mosquito population…

Dynamical Systems · Mathematics 2025-09-23 Ruqaya Hussein , Sergey Kryzhevich , Khosro Tajbakhsh

This work presents a sum-of-squares (SOS) based framework to perform data-driven stabilization and robust control tasks on discrete-time linear systems where the full-state observations are corrupted by L-infinity bounded input,…

Optimization and Control · Mathematics 2023-03-31 Jared Miller , Tianyu Dai , Mario Sznaier

In this paper we study the problem of determining the largest degree of stability that can be achieved for SISO systems using negative imaginary state feedback control. A state feedback result is given for synthesising a controller for a…

Optimization and Control · Mathematics 2023-03-14 James Dannatt , Ian Petersen

This work presents a fairly complete account on various topological and metrical aspects of feedback stabilization for single-input-single-output (SISO) continuous and discrete time linear-time-invariant (LTI) systems. In particular, we…

Systems and Control · Computer Science 2019-04-19 Jingjing Bu , Afshin Mesbahi , Mehran Mesbahi

This article deals with the implementation of the Smith Predictor for state feedback control in state space representation. The desired control law, obtained using partial differential equations and backstepping control, contains an…

Systems and Control · Electrical Eng. & Systems 2025-12-03 Jesus-Pablo Toledo-Zucco , Frédéric Gouaisbaut , Gaetan Chapput

We consider third-order dynamic systems which have an integral feedback action and discontinuous relay disturbance. More specifically for the applications, the focus is on the integral plus state-feedback control of the motion systems with…

Optimization and Control · Mathematics 2025-02-18 Michael Ruderman

We investigate state feedback and observation for infinite-dimensional linear systems, including a variety of partial differential equations with boundary control and observation. We extend the modulating function approach to…

Optimization and Control · Mathematics 2024-12-09 Folke Friedrich , Johann Reger , Timo Reis

We study a stabilization problem for systems with quantized output feedback. The state estimate from a Luenberger observer is used for control inputs and quantization centers. First we consider the case when only the output is quantized and…

Systems and Control · Computer Science 2017-03-21 Masashi Wakaiki , Tadanao Zanma , Kang-Zhi Liu

This paper presents an age-structured, non-autonomous logistic model describing the aquatic and adult stages of the dynamics of malaria-vector mosquitoes. We propose a biological control strategy targeting the aquatic compartment and…

Analysis of PDEs · Mathematics 2025-11-18 Marius Bargo , Yacouba Simpore

Stabilizing feedback operators are presented which depend only on the orthogonal projection of the state onto the finite-dimensional control space. A class of monotone feedback operators mapping the finite-dimensional control space into…

Optimization and Control · Mathematics 2025-03-10 Karl Kunisch , Sérgio S. Rodrigues , Daniel Walter

This paper presents a study on a compartmental epidemic model for COVID-19, examining the stability of its equilibrium points upon the introduction of vaccination as a strategy to mitigate the spread of the disease. Initially, the SIQR…

Numerical Analysis · Mathematics 2024-05-29 Leonardo R. S. Rodrigues , Felipe Gabrielli

We study feedback stabilization of continuous-time linear systems under finite data-rate constraints in the presence of unknown disturbances. A communication and control strategy based on sampled and quantized state measurements is…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Mahmoud Zamani , Guosong Yang

In this paper, we present a novel control scheme for feedback optimization. That is, we propose a discrete-time controller that can steer the steady state of a physical plant to the solution of a constrained optimization problem without…

Systems and Control · Electrical Eng. & Systems 2020-07-09 Verena Häberle , Adrian Hauswirth , Lukas Ortmann , Saverio Bolognani , Florian Dörfler

This paper provides a state feedback stabilization approach for nonlinear systems of relative degree less than or equal to two by rendering them nonlinear negative imaginary (NI) systems. Conditions are provided under which a nonlinear…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Kanghong Shi , Ian R. Petersen , Igor G. Vladimirov

The Gaia hypothesis (Lovelock and Margulis, 1974) proposes that there is a control system operating at global level that regulates climate and chemistry at a habitable state for the biota. Here we provide statistically significant…

Atmospheric and Oceanic Physics · Physics 2018-10-03 L. Mark W. Leggett , David A. Ball

In this paper, we study the stabilization problem of quantum spin-1/2 systems under continuous-time measurements. In the case without feedback, we show exponential stabilization around the excited and ground state by providing a lower bound…

Quantum Physics · Physics 2019-02-12 Weichao Liang , Nina H. Amini , Paolo Mason

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

Symmetries of nonlinear control systems in state representation are considered. To this end, a geometric approach to ordinary differential equations is advocated. Invariant feedback laws for systems with Lie symmetries, i.e. feedback laws…

Optimization and Control · Mathematics 2012-06-22 Carsten Collon , Joachim Rudolph

Insect pest control poses a global challenge, affecting public health, food safety, and the environment. Diseases transmitted by mosquitoes are expanding beyond tropical regions due to climate change. Agricultural pests further exacerbate…

Artificial Intelligence · Computer Science 2024-10-15 Javier Naranjo-Alcazar , Jordi Grau-Haro , Pedro Zuccarello , David Almenar , Jesus Lopez-Ballester
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