On Identification of the System with Space-Distributed Parameters
We consider the problem of the state identification of the deterministic systems with space-distributed parameters, described by differential or integral equations. Formulation of the problem was based on the model of dynamics and observations of the systems in question as well as on the proposed error functional. Conditions for the optimal solution were discussed with the use of dynamic programming and maximum principle.
References
E. ANGEL, R. BELLMAN, Dynamic programming and partial differential equations, Academic Press, 1972.
P. K. C. WANG, Control of distributed parameter systems, in Advances in Control Systems, 1, Academic Press, 1964.
[in Russian]
A. MASŁOWSKI, Optimal estimation of non-linear space-time systems using multilevel optimization, Non-linear Vibration Problems, 17 (in press).