Regional stabilization of linear delayed Schrödinger equation by constrained boundary control

Wen Kang, Emilia Fridman

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Title of host publication2018 Annual American Control Conference, ACC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3330-3335
Number of pages6
ISBN (Print)9781538654286
DOIs
Publication statusPublished - 9 Aug 2018
Externally publishedYes
Event2018 Annual American Control Conference, ACC 2018 - Milwauke, United States
Duration: 27 Jun 201829 Jun 2018

Publication series

NameProceedings of the American Control Conference
Volume2018-June
ISSN (Print)0743-1619

Conference

Conference2018 Annual American Control Conference, ACC 2018
Country/TerritoryUnited States
CityMilwauke
Period27/06/1829/06/18

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