Spectral Analysis and Variable Structural Control of an Elastic Beam

Xuezhang Hou

Mathematics Department, Towson University, Baltimore, USA.

DOI: 10.4236/jamp.2013.15015                

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.

Keywords

Spectral Analysis; Semigroups of Linear Operators; Elastic Beam System; Variable Structural Control

Conflicts of Interest

The authors declare no conflicts of interest.

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