TY - GEN
T1 - Regional stabilization of linear delayed Schrödinger equation by constrained boundary control
AU - Kang, Wen
AU - Fridman, Emilia
N1 - Publisher Copyright:
© 2018 AACC.
PY - 2018/8/9
Y1 - 2018/8/9
N2 - This paper deals with the design of constrained control to stabilize the delayed Schrödinger equation with bounded internal disturbance. The state feedback control law is designed by using the backstepping method. Input-to-state stability (ISS) of the perturbed system with time-delay is established by a generalized Halanay inequality. We find an estimate on the set of initial conditions starting from which the state trajectories of the system are exponentially converging to a bounded set. A numerical example illustrates the efficiency of the method.
AB - This paper deals with the design of constrained control to stabilize the delayed Schrödinger equation with bounded internal disturbance. The state feedback control law is designed by using the backstepping method. Input-to-state stability (ISS) of the perturbed system with time-delay is established by a generalized Halanay inequality. We find an estimate on the set of initial conditions starting from which the state trajectories of the system are exponentially converging to a bounded set. A numerical example illustrates the efficiency of the method.
UR - http://www.scopus.com/inward/record.url?scp=85052596964&partnerID=8YFLogxK
U2 - 10.23919/ACC.2018.8431739
DO - 10.23919/ACC.2018.8431739
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AN - SCOPUS:85052596964
SN - 9781538654286
T3 - Proceedings of the American Control Conference
SP - 3330
EP - 3335
BT - 2018 Annual American Control Conference, ACC 2018
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2018 Annual American Control Conference, ACC 2018
Y2 - 27 June 2018 through 29 June 2018
ER -