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Abstract In this paper we address the problem of internal stabilization of the deflection of a microbeam, which is modeled by a sixth-order hyperbolic equation. Employing multiplier techniques and an… Click to show full abstract
Abstract In this paper we address the problem of internal stabilization of the deflection of a microbeam, which is modeled by a sixth-order hyperbolic equation. Employing multiplier techniques and an integral inequality, we prove that a locally distributed nonlinear feedback control forces the energy associated to the deflection to decay exponentially or polynomially to zero. As a consequence of this, the deflection goes to the rest position as the time goes to infinity.
Keywords:
nonlinear feedback;
feedback control;
locally distributed;
microbeam;
distributed nonlinear
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!