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Entropy exchange for infinite-dimensional systems. [PDF]
Sci Rep, 2017 AbstractIn this paper the entropy exchange for channels and states in infinite-dimensional systems are defined and studied. It is shown that, this entropy exchange depends only on the given channel and the state. An explicit expression of the entropy exchange in terms of the state and the channel is proposed.
Duan Z, Hou J.
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Entanglement Cost for Infinite-Dimensional Physical Systems. [PDF]
Commun Math PhysAbstract We prove that the entanglement cost equals the regularized entanglement of formation for any infinite-dimensional quantum state $$\rho _{AB}$$ ρ
Yamasaki H, Kuroiwa K, Hayden P, Lami L.
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Approximate controllability of second order infinite dimensional systems [PDF]
Archives of Control Sciences, 2021 In the paper approximate controllability of second order infinite dimensional system with damping is considered. Applying linear operators in Hilbert spaces general mathematical model of second order dynamical systems with damping is presented.
Jerzy Klamka, Asatur Zh. Khurshudyan
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Exact controllability of infinite dimensional hyperbolic bilinear systems
Partial Differential Equations in Applied Mathematics, 2021 The present study delineates the exact controllability at time T of infinite dimensional hyperbolic system with bilinear distributed controls. It consists in providing suitable controls that allow exact controllability of such a system to a target state ...
Abella El kabouss, El Hassan Zerrik
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Koopman Operator Framework for Spectral Analysis and Identification of Infinite-Dimensional Systems
Mathematics, 2021 We consider the Koopman operator theory in the context of nonlinear infinite-dimensional systems, where the operator is defined over a space of bounded continuous functionals. The properties of the Koopman semigroup are described and a finite-dimensional
Alexandre Mauroy
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Model and Controller Order Reduction for Infinite Dimensional Systems [PDF]
ITB Journal of Engineering Science, 2010 This paper presents a reduced order model problem using reciprocal transformation and balanced truncation followed by low order controller design of infinite dimensional systems.
Fatmawati +3 more
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An Overview on Irreversible Port-Hamiltonian Systems
Entropy, 2022 A comprehensive overview of the irreversible port-Hamiltonian system’s formulation for finite and infinite dimensional systems defined on 1D spatial domains is provided in a unified manner.
Hector Ramirez, Yann Le Gorrec
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The LQ/KYP problem for infinite-dimensional systems [PDF]
Opuscula Mathematica, 2017 Our aim is to present a solution to a general linear-quadratic (LQ) problem as well as to a Kalman-Yacubovich-Popov (KYP) problem for infinite-dimensional systems with bounded operators.
Piotr Grabowski
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Theoretical observers for infinite dimensional skew-symmetric systems
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 The observer construction has a main importance in the control theory and its applications for the systems of infinite dimension. Even if the system’ state has an infinite dimension, its estimation is given using some physical measures of finite ...
Judicael Deguenon, Barbulescu Alina
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Boundary Control for a Certain Class of Reaction-Advection-Diffusion System
Mathematics, 2020 There are physical phenomena, involving diffusion and structural vibrations, modeled by partial differential equations (PDEs) whose solution reflects their spatial distribution. Systems whose dynamics evolve on an infinite-dimensional Hilbert space, i.e.,
Eduardo Cruz-Quintero, Francisco Jurado
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