@article{Orlov2026, 
author = {Yury Orlov and Boris Andrievsky},
title = {Adaptive identification of distributed parameters in nonlinear PDE setting: Sine-Gordon case study},
year = {2026},
journal = {Journal of Automation and Intelligence},
volume = {5},
number = {2},
pages = {147-154},
keywords = {Adaptive identification, Lyapunov functional, Nonlinear PDE systems},
url = {https://www.sciopen.com/article/10.1016/j.jai.2025.10.007},
doi = {10.1016/j.jai.2025.10.007},
abstract = {The primary concern of the work is to develop adaptive identification approach to uncertain dynamic systems governed by nonlinear partial differential equations. The well-known nonlinear sine-Gordon PDE model, which describes distributed wave dynamics (e.g., of continuum of interacting oscillators), serves as a testbed. It is shown that the sine-Gordon model with uncertain external force and viscous friction, which are distributed in space, is identifiable over the entire state measurement provided that it is excited by a specific nonzero input. Numerical simulations support the theory in the case where unknown plant parameters are spatially invariant.}
}