TY - GEN
T1 - Energy decay rates for the coupled wave and Schrödinger system with boundary control∗
AU - Wang, Jun Min
AU - Wang, Jing
N1 - Publisher Copyright:
© 2019 IEEE.
PY - 2019/7
Y1 - 2019/7
N2 - In this paper, the boundary stabilization of an interconnected system of the Schrödinger and wave equations with boundary control is considered. By resolvent estimates together with the frequency domain method, we obtain two classes of energy decay rates:1. When the boundary control is located in the side of Schrödinger equation, the system is lack of exponential decay, but polynomial decay holds. Moreover, the optimal polynomial decay rate is further obtained for the system.2. When the boundary control is located in the side of wave equation, the system can achieve exponential stability.
AB - In this paper, the boundary stabilization of an interconnected system of the Schrödinger and wave equations with boundary control is considered. By resolvent estimates together with the frequency domain method, we obtain two classes of energy decay rates:1. When the boundary control is located in the side of Schrödinger equation, the system is lack of exponential decay, but polynomial decay holds. Moreover, the optimal polynomial decay rate is further obtained for the system.2. When the boundary control is located in the side of wave equation, the system can achieve exponential stability.
UR - http://www.scopus.com/inward/record.url?scp=85075777214&partnerID=8YFLogxK
U2 - 10.1109/ICCA.2019.8899735
DO - 10.1109/ICCA.2019.8899735
M3 - Conference contribution
AN - SCOPUS:85075777214
T3 - IEEE International Conference on Control and Automation, ICCA
SP - 732
EP - 737
BT - 2019 IEEE 15th International Conference on Control and Automation, ICCA 2019
PB - IEEE Computer Society
T2 - 15th IEEE International Conference on Control and Automation, ICCA 2019
Y2 - 16 July 2019 through 19 July 2019
ER -