TY  - JOUR
AU  - Orlov, Yury
AU  - Andrievsky, Boris
PY  - 2026
TI  - Adaptive identification of distributed parameters in nonlinear PDE setting: Sine-Gordon case study
JO  - Journal of Automation and Intelligence
SN  - 2097-504X
SP  - 147
EP  - 154
VL  - 5
IS  - 2
AB  - 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.
UR  - https://doi.org/10.1016/j.jai.2025.10.007
DO  - 10.1016/j.jai.2025.10.007