Paper Info
Title
Energy Tracking For The Sine-Gordon Equation With Dissipation Via Boundary Control
Abstract
The energy tracking problem for the one-dimensional sine-Gordon equation with dissipation via boundary control is posed. With the use of the Speed-Pseudogradient method we design a family of control laws for solving this problem. An estimate of the tracking error via the derivative of a prespecified time-varying energy level is obtained. The convergence of the tracking error to zero is proved under the assumptions that the dissipation is absent and the derivative of the prespecified energy level eventually vanishes.
Year
DOI
Venue
2018
10.23919/ECC.2018.8550140
2018 EUROPEAN CONTROL CONFERENCE (ECC)
Field
DocType
Citations 
Convergence (routing),Applied mathematics,Energy level,Dissipation,Waveguide (optics),Control system,sine-Gordon equation,Mathematics,Tracking error
Conference
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Maksim V. Dolgopolik100.34
Alexander L. Fradkov245078.94