TY - JOUR
T1 - Infinite-dimensional negative imaginary systems
AU - Opmeer, Mark
PY - 2011/12
Y1 - 2011/12
N2 - We consider second order infinite-dimensional systems with force control and collocated position measurement interconnected with finite-dimensional controllers of the same type. We show that under assumptions that generalize those in the finite-dimensional case (the theory of negative imaginary systems), asymptotic stability of the closed-loop system can be concluded, but that the closed-loop system may not be exponentially stable nor input-output stable.
AB - We consider second order infinite-dimensional systems with force control and collocated position measurement interconnected with finite-dimensional controllers of the same type. We show that under assumptions that generalize those in the finite-dimensional case (the theory of negative imaginary systems), asymptotic stability of the closed-loop system can be concluded, but that the closed-loop system may not be exponentially stable nor input-output stable.
UR - http://www.scopus.com/inward/record.url?scp=83255176284&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1109/TAC.2011.2162886
U2 - 10.1109/TAC.2011.2162886
DO - 10.1109/TAC.2011.2162886
M3 - Article
SN - 0018-9286
VL - 56
SP - 2973
EP - 2976
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 12
ER -