Under study are the systems of quasilinear time-delay differential equations with parameters and periodic coefficients. Some sufficient conditions are derived for asymptotic stability of the zero solution, and the est...
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The necessary and sufficient conditions of internal stability for the formations, whose dynamics is defined by linear differential equations, have been obtained. In this case, programmed controls have been chosen in t...
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The territories of the Baikal Region and Mongolia belong to the areas with evaluated seismic activity. In turn, these territories are at heightened risk of potentially damaging events for human socio-economic activity...
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Perhaps, PDF is the most popular format to share non-editable documents. PDF documents are often untagged. In particular, this means that positions and the cell structure of tables are not designated explicitly. PDF t...
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ISBN:
(纸本)9781665423311
Perhaps, PDF is the most popular format to share non-editable documents. PDF documents are often untagged. In particular, this means that positions and the cell structure of tables are not designated explicitly. PDF table detection predicts bounding boxes of tables on document pages. Some of the predictions inevitably happen to be false. This negatively affects the accuracy of table structure recognition. We argue that the page layout analysis in pre- and post-processing can refine the table detection. We suggest pre-processing algorithms for the recognition of headings, running titles, paragraphs, and images in PDF pages. This allows selecting areas of interest inside pages where real tables can be placed. Then we use deep neural networks to predict tables only in these areas. We also propose post-processing algorithms to verify predictions and filter out false table candidates after table detection. Our empirical study shows that the proposed approach reduces errors in the table detection and improve the PDF table extraction overall.
We address an inverse problem for a dynamical system in the space of probability measures, namely, the problem of restoration of the time-evolution of a probability distribution from certain given statistical informat...
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We address an inverse problem for a dynamical system in the space of probability measures, namely, the problem of restoration of the time-evolution of a probability distribution from certain given statistical information. The dynamics of the distribution is described by a nonlocal continuity equation in the Wasserstein space of probability measures. For the simplest version of this problem, associated with a toy one-dimensional model of traffic flow, we derive a necessary optimality condition and design, on its base, a numerical algorithm of the type of gradient descent. We also discuss some technical aspects of the realization of the elaborated algorithm, and present the results of computational experiments implementing an eloquent numeric scenario.
The approach is based upon declarative specifications of database applications (SDA). The specifications of database applications contain all the information about database structure, which is required to build a typi...
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ISBN:
(纸本)9781538675328
The approach is based upon declarative specifications of database applications (SDA). The specifications of database applications contain all the information about database structure, which is required to build a typical AIS (automated information system). The information is represented in its pure form, so the specifications are rather concise. The AIS'es are implemented using general algorithms, which are directed by the specifications. We have developed algorithms for such tasks as: user interface generation, query building, report generation, GIS interaction. Using the specifications of database applications and the algorithms the software system GeoARM was implemented. The technology considered was well-tried by use of the system GeoARM for development of several dozens of true-life AIS for different purposes.
Stability of nonlinear switched systems is discussed. A method of constructing the common (scalar and vector) Lyapunov functions is proposed for switched systems whose equations have homogenous right-hand sides and fo...
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Abstract This paper is devoted to the study of invariance for nonlinear dynamical controlsystems with trajectories of bounded variation and impulsive controls. The definitions and proximal characterization of strong ...
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Abstract This paper is devoted to the study of invariance for nonlinear dynamical controlsystems with trajectories of bounded variation and impulsive controls. The definitions and proximal characterization of strong and weak invariance adapted to the nonlinear impulsive controlsystems are presented.
作者：
A.S. BuldaevUlan-Ude
Filiation from Institute for System Dynamics and Control Theory of Siberian Branch of RAS
An iteration method for finding the control, which satisfies the necessary optimality condition, in the main problem of optimal control is proposed. This method has been applied for solving a system of functional equa...
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An iteration method for finding the control, which satisfies the necessary optimality condition, in the main problem of optimal control is proposed. This method has been applied for solving a system of functional equations in the space of controls, which is constructed on the basis of the necessary optimality condition with the use of the operation of projection on the set of admissible values of control. In order to ground the method, elements of the theory of perturbations have been applied.
Abstract We consider an optimal control problem for an impulsive hybrid dynamic system, where jumps of a trajectory may occur only at the moments of hitting a given closed set. A time reparameterization technique is a...
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Abstract We consider an optimal control problem for an impulsive hybrid dynamic system, where jumps of a trajectory may occur only at the moments of hitting a given closed set. A time reparameterization technique is applied to reduce the original problem to the one with bounded controls. We show that the reparameterized problem is equivalent to optimization in a class of generalized solutions to the impulsive hybrid system. Necessary conditions for optimality of generalized control processes are obtained by interpreting the Maximum Principle in the reduced problem.
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