<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We deal with an optimal control problem governed by a nonlinear hyperbolic initial-boundary value problem describing the perpendicular vibrations of a simply supported anisotropic viscoelastic plate against a rigid obstacle. A variable thickness of a plate plays the role of a control variable. We verify the existence of an optimal thickness function.</p></abstract>

We deal with an optimal control problem governed by a nonlinear hyperbolic initial-boundary value problem describing the perpendicular vibrations of a simply supported anisotropic viscoelastic plate against a rigid obstacle. A variable thickness of a plate plays the role of a control variable. We verify the existence of an optimal thickness function.

An Optimal Control Problem for A Viscoelastic Plate in a Dynamic Contact with an Obstacle

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

We deal with an optimal control problem governed by a nonlinear hyperbolic initial-boundary value problem describing the perpendicular vibrations of a simply...

An Optimal Control Problem for A Viscoelastic Plate in a Dynamic Contact with an Obstacle

Published Online: Jan 25, 2019

Page range: 27 - 37

Received: Dec 11, 2017

DOI: https://doi.org/10.2478/tmmp-2018-0003

Keywords
Vibrating viscoelastic plate, rigid obstacle, optimal control, variable thickness

© 2018 Igor Bock et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

An Optimal Control Problem for A Viscoelastic Plate in a Dynamic Contact with an Obstacle

Published Online: Jan 25, 2019

Page range: 27 - 37

Received: Dec 11, 2017

DOI: https://doi.org/10.2478/tmmp-2018-0003

KeywordsVibrating viscoelastic plate, rigid obstacle, optimal control, variable thickness

© 2018 Igor Bock et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Vibrating viscoelastic plate, rigid obstacle, optimal control, variable thickness