TY - GEN
T1 - On dynamic behavior of a hyperbolic thermoelastic system with memory type in terms of eigenfrequencies
AU - Wang, Jun Min
AU - Guo, Bao Zhu
PY - 2006
Y1 - 2006
N2 - This paper studies the dynamic behavior of a one-dimensional thermoelastic system with memory type in terms of its eigenfrequencies. The asymptotic expansions for eigenvalues and eigenfunctions are derived. It is shown that there is a sequence of generalized eigenfunctions, which forms a Riesz basis for the Hubert state space. From this, we deduce the spectrum-determined growth condition, and as a consequence, the exponential stability of the system is concluded.
AB - This paper studies the dynamic behavior of a one-dimensional thermoelastic system with memory type in terms of its eigenfrequencies. The asymptotic expansions for eigenvalues and eigenfunctions are derived. It is shown that there is a sequence of generalized eigenfunctions, which forms a Riesz basis for the Hubert state space. From this, we deduce the spectrum-determined growth condition, and as a consequence, the exponential stability of the system is concluded.
UR - http://www.scopus.com/inward/record.url?scp=34047193842&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:34047193842
SN - 1424402107
SN - 9781424402106
T3 - Proceedings of the American Control Conference
SP - 787
EP - 792
BT - Proceedings of the 2006 American Control Conference
T2 - 2006 American Control Conference
Y2 - 14 June 2006 through 16 June 2006
ER -