TY - GEN
T1 - Stabilization of linearized Korteweg-de Vries systems with anti-diffusion
AU - Tang, Shuxia
AU - Krstic, Miroslav
PY - 2013
Y1 - 2013
N2 - In this paper, backstepping boundary controllers are designed for a class of linearized Korteweg-de Vries systems with possible anti-diffusion, and the resulting closed-loop systems can achieve arbitrary exponential decay rate. Semigroup of linear operators is constructed in analyzing well-posedness and stability of the target systems, and mathematical induction is used in proving existence of kernel functions. An example is also presented, which illustrates performance of the controller. The decay rate estimate derived in this paper is not necessarily equal to decay rate, which can be seen from the appendix.
AB - In this paper, backstepping boundary controllers are designed for a class of linearized Korteweg-de Vries systems with possible anti-diffusion, and the resulting closed-loop systems can achieve arbitrary exponential decay rate. Semigroup of linear operators is constructed in analyzing well-posedness and stability of the target systems, and mathematical induction is used in proving existence of kernel functions. An example is also presented, which illustrates performance of the controller. The decay rate estimate derived in this paper is not necessarily equal to decay rate, which can be seen from the appendix.
KW - Antidiffusion
KW - Arbitrary exponential decay rate
KW - Backstepping
KW - Linearized Korteweg-de Vries systems
KW - Semigroup of linear operators
UR - http://www.scopus.com/inward/record.url?scp=84883541821&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84883541821
SN - 9781479901777
T3 - Proceedings of the American Control Conference
SP - 3302
EP - 3307
BT - 2013 American Control Conference, ACC 2013
Y2 - 17 June 2013 through 19 June 2013
ER -