TY - JOUR
T1 - Eigenvalue assignment by delayed boundary feedback for a class of linear hyperbolic systems
AU - Clarke, B. M N
PY - 1981/4
Y1 - 1981/4
N2 - We study a class of linear hyperbolic systems subject to boundary control. We show that the set {ρ1}, i Ζ can be assigned as closed loop eigenvalues by the application of delayed boundary feedback, where the set {ρ1} is subject only to a controllability condition and an asymptotic condition. Since the type of feedback used requires only boundary information over a fixed, finite time interval, it is important in applications.
AB - We study a class of linear hyperbolic systems subject to boundary control. We show that the set {ρ1}, i Ζ can be assigned as closed loop eigenvalues by the application of delayed boundary feedback, where the set {ρ1} is subject only to a controllability condition and an asymptotic condition. Since the type of feedback used requires only boundary information over a fixed, finite time interval, it is important in applications.
UR - http://www.scopus.com/inward/record.url?scp=77958400126&partnerID=8YFLogxK
U2 - 10.1093/imamat/27.2.251
DO - 10.1093/imamat/27.2.251
M3 - Article
AN - SCOPUS:77958400126
VL - 27
SP - 251
EP - 262
JO - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
JF - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
SN - 0272-4960
IS - 2
ER -