A. Pazy, “Semigroup of Linear Operators and Applications to Partial Differential Equations,” Springer-Verlag, Berlin, 1983.
has been cited by the following article:
TITLE: Spectral Analysis and Variable Structural Control of an Elastic Beam
AUTHORS: Xuezhang Hou
KEYWORDS: Spectral Analysis; Semigroups of Linear Operators; Elastic Beam System; Variable Structural Control
JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.1 No.5, November 12, 2013
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.