Journal of Applied Mathematics and Physics

Volume 1, Issue 5 (November 2013)

ISSN Print: 2327-4352   ISSN Online: 2327-4379

Google-based Impact Factor: 0.70  Citations  

Spectral Analysis and Variable Structural Control of an Elastic Beam

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DOI: 10.4236/jamp.2013.15015    3,969 Downloads   6,116 Views  
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ABSTRACT

An elastic beam system formulated by partial differential equations with initial and boundary conditions is investigated in this paper. An evolution equation corresponding with the beam system is established in an appropriate Hilbert space. The spectral analysis and semigroup generation of the system operator of the beam system are discussed. Finally, a variable structural control is proposed and a significant result that the solution of the system is exponentially stable under a variable structural control with some appropriate conditions is obtained.

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Hou, X. (2013) Spectral Analysis and Variable Structural Control of an Elastic Beam. Journal of Applied Mathematics and Physics, 1, 98-104. doi: 10.4236/jamp.2013.15015.

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