In this paper we give some observation of applying modern optimization methods for functionals describing digital predistortion (DPD) of signals with orthogonal frequency division multiplexing (OFDM) modulation. The c...
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A nonlinear second-order parabolic equation with two variables is considered. Under additional conditions, this equation can be interpreted as the porous medium equation in case of dependence of the unknown function o...
A nonlinear second-order parabolic equation with two variables is considered. Under additional conditions, this equation can be interpreted as the porous medium equation in case of dependence of the unknown function on two variables: time and distance from the origin. The equation has a wide variety of applications in continuum mechanics, for example, it is applicable for mathematical modeling of filtration of ideal polytropic gas in porous media or heat conduction. The authors deal with a special solutions which are usually called heat waves. A special feature of such solution is that it consists of two continuously joined solutions. The first of them is trivial and the second one is nonnegative. The heat wave solution can have discontinuous derivatives on the line of joint which is called the front of heat wave, i.e. smoothness of the solution, generally speaking, is broken. The most natural problem which has such solutions is the so-called 'the Sakharov problem of the initiation of a heat wave'. New solutions of the problem in the form of multiple power series for physical variables are constructed. The coefficients of the series are obtained from tridiagonal systems of linear algebraic equations. Herewith, the elements of matrices of this systems depend on the matrix order and the condition of the diagonal dominance is not fulfilled. The recurrent formulas for the coefficients are suggested.
Forest is the most important natural resource of the Baikal natural territory (BNT), which ensures sustainable development of the ecological system of the Lake Baikal, performing water protection, soil protection and ...
Forest is the most important natural resource of the Baikal natural territory (BNT), which ensures sustainable development of the ecological system of the Lake Baikal, performing water protection, soil protection and water regulation functions. The article describes the issues of transition to a new technological order - the creation of a digital monitoring platform to support the rational use of forests. We formulate characteristics of the current state of forests and analyze the problems of forest resources monitoring in the BNT. We consider the types of digital platforms of different levels and propose basic requirements for forest digital monitoring.
We consider optimal control problems solved in the process of decision support implemented as a submodule of a hybrid decision support system (HDSS). The HDSS is devoted to figure out a sustainable consumption of the ...
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ISBN:
(纸本)9781479956579
We consider optimal control problems solved in the process of decision support implemented as a submodule of a hybrid decision support system (HDSS). The HDSS is devoted to figure out a sustainable consumption of the forest resources in an industrial region. The proposed decision is presented to decision maker as possible scenarios of a modeled object development in the future. The scenarios are generated by a subsystem according to initial value combination obtained from various data sources. The mathematical model as an informational object representation is generated by means of automated reasoning that implements a technique of a model construction. The paper deals with the internals of the HDSS related to optimal control model implementation and its integration into the whole system. A HDSS is tested on the data of forest resources of Irkutsk Region.
For linear time-invariant controlsystems under two types of constraints on control, geometric bounds and constraints on the total impulse of control, the asymptotic properties of the reachable sets are studied. The r...
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For linear time-invariant controlsystems under two types of constraints on control, geometric bounds and constraints on the total impulse of control, the asymptotic properties of the reachable sets are studied. The reachable sets can be represented as a product of a scaling matrix and a normalized reachable set. The scaling matrix is an elementary function of time, and, in the long run, the normalized reachable set approaches a convex body depending on time quasiperiodically in the impulsive case, and a fixed convex body in the geometric case.
Micrologistic transport systems are ports, transport hubs, railway terminals (railway stations and marshalling yards), and other micro-level transport objects. Such systems are dynamic ones, whose parameters are time-...
Micrologistic transport systems are ports, transport hubs, railway terminals (railway stations and marshalling yards), and other micro-level transport objects. Such systems are dynamic ones, whose parameters are time-dependent. Consequently, transient processes appear. These processes last for some time and then subside. Then the system goes into a stationary mode of operation. To solve most engineering problems, it is sufficient to find the stationary characteristics of the system. However, some problems require knowledge of the properties of transients. In this paper, we use the previously presented technology for modeling the operation of micrologistic transport systems to study transients in various transport objects. We consider two types of micrologistic transport systems, such as passenger and cargo, and design their models in the form of two-phase and three-phase queuing systems with BMAP flows. For these queuing systems, we compile Kolmogorov systems of ordinary differential equations. Their analytical study is difficult; therefore, to solve such systems, we use numerical methods. Overall, we find the transition probabilities of system states. We compare the obtained probabilities with stationary characteristics, which allows us to draw conclusions about the properties of transients in the considered systems.
The article offers the developed modifications of multiagent nature-inspired algorithms for finding the absolute extremum of multimodal objective functions. The proposed algorithms are based on hybridization with the ...
The article offers the developed modifications of multiagent nature-inspired algorithms for finding the absolute extremum of multimodal objective functions. The proposed algorithms are based on hybridization with the quasi-Newton method for local descent at each iteration. Variants of genetic, biogeography, and particle swarm methods proposed by the authors are used for global search. We have performed the numerical comparison of implemented algorithms employing a representative set of multiextremal functions. The achieved research results confirm the efficiency of the proposed algorithms and the possibility of constructing computational schemes, which can be the foundation for effective methods for studying global search problems.
Abstract 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 sid...
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Abstract 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 for switched large-scale systems containing homogeneous subsystems. With the aid of homomorphic mapping the problem of stability for nonhomogeneous nonlinear systems is reduced to an auxiliary problem, which is easier to analyze. Matrix homomorphism is used for the purpose of ellipsoidal estimation of nonlinear dynamics of the polynomial class of systems. Certain applications are mentioned.
An approach to devising the upper level of controlsystems for multiagent systems has been developed. Problems related to automation of action planning, including those bound up with the mode of cooperative mission pe...
An approach to devising the upper level of controlsystems for multiagent systems has been developed. Problems related to automation of action planning, including those bound up with the mode of cooperative mission performance, are considered. A new efficient logic apparatus for intelligent control is proposed.
The formation of charged pion condensate under parallel electromagnetic fields is studied within the two-flavor Nambu–Jona-Lasinio model. The technique of Schwinger proper time method is extended to explore the quant...
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