The paper deals with linear discrete-time time-invariant (LDTI) descriptor systems with norm-bounded parametric uncertainties. The input signal is supposed to be a “colored” noise with bounded mean anisotropy. Sufficient conditions of anisotropic norm boundedness for such class of systems are given. The control design procedure, based on these conditions, is proposed. Numerical example is given.
An approach to modeling is proposed, where the airplane is considered as a system with a minimal set of basic material points, and its mathematical description is given. We construct the mathematical model of the conventional airplane with an adequate accuracy for evaluation calculations in creating the control system. The flight simulation software for the Yak-52 and NG-4 airplanes is developed in MATLAB and the modeling results are analyzed.
The problem of robust admissibilization with guar- anteed random disturbance attenuation level for discrete-time time-invariant (LDTI) descriptor systems with norm-bounded uncertainties is considered. The input disturbance is supposed to be a stationary Gaussian sequence with bounded mean anisotropy level. The solutions to analysis and robust state- feedback control problems are formulated in terms of matrix inequalities. The obtained conditions are convex over all decision variables and do not require inverse matrix searching. Compar- ison between iterative ,  and non-iterative methods is given.
This paper deals with a state feedback H∞ control problem for linear discrete-time time-invariant (LDTI) uncertain descriptor systems. Considered systems contain norm-bounded parametric uncertainties in all matrices. Bounded real lemma (BRL) for descriptor systems with all known matrices is extended on the class of uncertain systems. The control design procedure based on the conditions of BRL for uncertain descriptor systems is proposed. Numerical example is included to illustrate the effectiveness of the present result.
The article is dedicated to implementation and evaluation of a model for simulation of emergency situations on main gas pipeline. Data produced by model was compared to data obtained from real emergency situations on main gas pipeline. Result of this work is the model built using MATLAB Simulink software that can be used for datasets generation, which are useful for artificial neural networks training.
We consider certain spaces of functions on the circle, which naturally appear in harmonic analysis, and superposition operators on these spaces. We study the following question: which functions have the property that each their superposition with a homeomorphism of the circle belongs to a given space? We also study the multidimensional case.
We consider the spaces of functions on the m-dimensional torus, whose Fourier transform is p -summable. We obtain estimates for the norms of the exponential functions deformed by a C1 -smooth phase. The results generalize to the multidimensional case the one-dimensional results obtained by the author earlier in “Quantitative estimates in the Beurling—Helson theorem”, Sbornik: Mathematics, 201:12 (2010), 1811 – 1836.
We consider the spaces of function on the circle whose Fourier transform is p-summable. We obtain estimates for the norms of exponential functions deformed by a C1 -smooth phase.