Exact Controllability of the Wave Equation on Graphs

Avdonin, Sergei; Zhao, Yuanyuan

doi:10.1007/s00245-022-09869-w

Appl Math Optim

2022

DOI: 10.1007/s00245-022-09869-w

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Exact Controllability of the Wave Equation on Graphs

Sergei Avdonin

Yuanyuan Zhao

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Cited by 5 publications

References 22 publications

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Stabilization of a cyclic network of strings by nodal control

Gugat

2024

J. Evol. Equ.

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We consider a network of coupled strings that contains a cycle. We show that boundary feedback stabilization that uses only data of the state at boundary nodes that are not contained in the cycle is in general impossible. We demonstrate that also with control actuators that act at the interior nodes contained in the cycle with certain standard control laws that use only Neumann control action the situation does not improve and the system is still not stable. We prove that with an actuator that uses also Dirichlet control action and is located within the cycle, exponential stabilization is possible.

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Stabilization of a cyclic network of strings by nodal control

Gugat

2024

J. Evol. Equ.

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Pontryagin’s Principle for Some Probabilistic Control Problems

van Ackooij,

Henrion,

Zidani

2024

Appl Math Optim

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Probability Functions Generated by Set-Valued Mappings: A Study of First Order Information

van Ackooij,

Pérez-Aros,

Soto

2024

Set-Valued Var. Anal

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Exact Controllability of the Wave Equation on Graphs

Cited by 5 publications

References 22 publications

Stabilization of a cyclic network of strings by nodal control

Stabilization of a cyclic network of strings by nodal control

Pontryagin’s Principle for Some Probabilistic Control Problems

Probability Functions Generated by Set-Valued Mappings: A Study of First Order Information

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