Nonlinear boundary feedback control of the one-dimensional wave equation Conference Paper

abstract

• In this paper, we analyze the dynamical behavior of the linear wave equation on an interval, where the right endpoint has a van der Pol type nonlinearity or boundary controller, while the left endpoint has a boundary condition involving displacement. The asymptotic behavior of the system can be classified into two basic types: classical unbounded instability, or spatial point-wise convergence to periodic points of a nonlinear map corresponding to the van der Pol condition.

name of conference

• Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)

authors

• Chen, Goong
• Huang, Tingwen

published proceedings

• PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5

author list (cited authors)

• Chen, G., Huang, T. W., & Hsu, S. B.

citation count

• 1

complete list of authors

• Chen, G||Huang, TW||Hsu, SB

publication date

• January 2000

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• Proceedings of the ... IEEE Conference on Decision & Control / IEEE Control Systems Society. IEEE Conference on Decision & Control  Journal

Digital Object Identifier (DOI)

• 10.1109/cdc.2000.914097

International Standard Book Number (ISBN) 10

• 0-7803-6638-7

start page

• 2060

end page

• 2065

volume

• 3