Density theorems for sampling and interpolation in the Bargmann-Fock space I.
The paper presents an alternative approach to the design of a hybrid adaptive controller of Linear Quadratic Gaussian (LQG) type for linear stochastic controlled system. The approach is based on the combination standard building blocks of discrete LQG adaptive controller with the non-standard technique of modelling of a controlled system and spline approximation of involved signals. The method could be of interest for control of systems with complex models, in particular distributed parameter systems....
This work deals with the study of the bounds of the asymptotic expansions of complex functions in a normed space. Some inequalities are obtained similar to the Gorny-Cartan for the bounds of asymptotic expansions in an angle of the complex space.