Nonlinear boundary feedback control of the one-dimensional wave equation
Additional Document Info
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)