6 papers
Alternative to the Well-known Statistical Dynamics of Linear Systems
V. N. Tibabishev
The problem of determining the mathematical model of the dynamics of multi-dimensional control systems in the presence of noise under the condition that the correlation functions c…
The function space to describe the dynamics of linear systems
V. N. Tibabishev
Usually, the dynamics of linear time-invariant systems described by an integral operator of convolution type, which is defined in the Hilbert space of Lebesgue square integrable fu…
Optimization of frequency quantization
V. N. Tibabishev
We obtain the functional defining the price and quality of sample readings of the generalized velocities. It is shown that the optimal sampling frequency, in the sense of minimizin…
Suppression of random noise by the separation of frequencies
V. N. Tibabishev
It is shown that a well-known theory of random stationary processes contain contradictions. Integral representations of correlation functions and random stationary processes are in…
Fighting with deterministic disturbances
V. N. Tibabishev
Consider the problem of interference mitigation in the identification of the dynamics of multidimensional control systems in the class of linear stationary models for single realiz…
The domain of the Fourier integral
V. N. Tibabishev
We consider the problem of determining the Fourier integral in the Hilbert space of square integrable functions. Fourier integral is the scalar product of two functions belonging t…