Results 21 to 30 of about 18,090,173 (384)
Approximate and exact controllability of linear difference equations [PDF]
Journal de l'École polytechnique. Mathématiques, 2020 International audienceIn this paper, we study approximate and exact controllability of the linear difference equation $x(t) = \sum_{j=1}^N A_j x(t - \Lambda_j) + B u(t)$ in $L^2$, with $x(t) \in \mathbb C^d$ and $u(t) \in \mathbb C^m$, using as a basic ...
Guilherme Mazanti +5 more
core +2 more sources
Approximate and Exact Controllability of the Continuity Equation with a Localized Vector Field [PDF]
SIAM Journal of Control and Optimization, 2017 We study the controllability of a Partial Differential Equation of transport type, that arises in crowd models. We are interested in controlling it with a control being a vector field, representing a perturbation of the velocity, localized on a fixed ...
Michel Duprez +2 more
semanticscholar +3 more sources
Partial exact controllability for the linear thermo-viscoelastic model
Electronic Journal of Differential Equations, 1998 The problem of partial exact controllability for linear thermo-viscoelasticity is considered. Using classical multiplier techniques, a boundary observability inequality is established under smallness restrictions on coupling parameters and relaxation ...
Wei-Jiu Liu, Graham H. Williams
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Approximate and exact controllability criteria for linear one-dimensional hyperbolic systems [PDF]
Systems & control letters (Print), 2023 This paper deals with the controllability of linear one-dimensional hyperbolic systems. Reformulating the problem in terms of linear difference equations and making use of infinite-dimensional realization theory, we obtain both necessary and sufficient ...
Y. Chitour +3 more
semanticscholar +1 more source
Hautus–Yamamoto criteria for approximate and exact controllability of linear difference delay equations [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2022 The paper deals with the controllability of finite-dimensional linear difference delay equations, i.e., dynamics for which the state at a given time $t$ is obtained as a linear combination of the control evaluated at time $t$ and of the state evaluated ...
Y. Chitour +3 more
semanticscholar +1 more source
Exact controllability to eigensolutions of the bilinear heat equation on compact networks [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2021 Partial differential equations on networks have been widely investigated in the last decades in view of their application to quantum mechanics (Schrödinger type equations) or to the analysis of flexible structures (wave type equations).
P. Cannarsa +2 more
semanticscholar +1 more source
Mathematics, 2021 According to the spatial dimension, equation type, and time sequence, the latest progress in controllability of stochastic linear systems and some unsolved problems are introduced. Firstly, the exact controllability of stochastic linear systems in finite
Zhaoqiang Ge
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Relatively exact controllability of fractional stochastic delay system driven by Lévy noise
Mathematical methods in the applied sciences, 2023 In this article, we consider the relatively exact controllability of fractional stochastic delay system (FSDS) driven by Lévy noise. First, we derive the solution of linear FSDS via delayed matrix functions of Mittag–Leffler (M‐L).
Jizhao Huang, Danfeng Luo
semanticscholar +1 more source
Mathematics, 2023 In this paper, by applying the Hilbert Uniqueness Method in a non-cylindrical domain, we prove the exact null controllability of one wave equation with a moving boundary.
Lizhi Cui, Jing Lu
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Heating control of a finite rod with a mobile source [PDF]
Archives of Control Sciences, 2021 The Green’s function approach is applied for studying the exact and approximate nullcontrollability of a finite rod in finite time by means of a source moving along the rod with controllable trajectory.
Samvel H. Jilavyan +2 more
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