We propose a constructive technology for solving parametrizable problems of multichannel optimal control in systems with distributed parameters under conditions of a given accuracy of uniform approximating the resulta...
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We propose a constructive technology for solving parametrizable problems of multichannel optimal control in systems with distributed parameters under conditions of a given accuracy of uniform approximating the resultant spatial distribution of the controlled variable to the desired state. The developed technique uses the parametrization procedure of the sought control actions and the subsequent reduction to the special form of the task of semi-infinite optimization, which is solved by the scheme of the alternance method proposed earlier;this scheme is generalized to the investigated situation. We present an example (which is of interest by itself) of time-optimization of the process of nonstationary heat conductivity with two boundary control actions.
This paper deals with the high gain feedback stabilization of single input-single output (SISO) minimum-phase systems with distributed parameters. Sufficient conditions for an infinite-dimensional SISO system to be st...
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This paper deals with the high gain feedback stabilization of single input-single output (SISO) minimum-phase systems with distributed parameters. Sufficient conditions for an infinite-dimensional SISO system to be stabilized by a high gain output feedback are obtained. The results of this paper are useful for designing and tuning high gain output feedbacks in numerous industrial control applications.
This paper considers a differential system whose state is described by a parabolic initial boundary value problem with distributed parameters on a graph. For the above system, the author studies the problem of boundar...
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This paper considers a differential system whose state is described by a parabolic initial boundary value problem with distributed parameters on a graph. For the above system, the author studies the problem of boundary control in the class of generalized solutions. Control action and observations are simultaneously boundary. And finally, the existence conditions of a unique control action and the expressions characterizing control actions are obtained.
The objective of this study is to propose an event-based calibration approach for selecting representative semi-distributed hydrologic model parameters and to enhance peak flow prediction at multiple sites of a semi-u...
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The objective of this study is to propose an event-based calibration approach for selecting representative semi-distributed hydrologic model parameters and to enhance peak flow prediction at multiple sites of a semi-urban catchment. The performance of three multi-site calibration approaches (multi-site simultaneous (MSS), multi-site average objective function (MS-A) and multi-event multi-site (ME-MS)) and a benchmark at-catchment outlet (OU) calibration method, are compared in this study. Additional insightful contributions include assessing the nature of the spatio-temporal parameter variability among calibration events and developing an advanced event-based calibration approach to identify skillful model parameter-sets. This study used a SWMM5 hydrologic model in the Humber River Watershed located in Southern Ontario, Canada. For MS-S and OU calibration methods, the multi-objective calibration formulation is solved with the Pareto Archived Dynamically Dimensioned Search (PA-DDS) algorithm. For the MS-A and ME-MS methods, the single objective calibration formulation is solved with the Dynamically Dimensioned Search (DDS) algorithm. The results indicate that the MS-A calibration approach achieved better performance than other considered methods. Comparison between optimized model parameter sets showed that the DDS optimization in MS-A approach improved the model performance at multiple sites. The spatial and temporal variability analysis indicates a presence of uncertainty on sensitive parameters and most importantly on peak flow responses in an event-based calibration process. This finding implied the need to evaluate potential model parameters sets with a series of calibration steps as proposed herein. The proposed calibration and optimization formulation successfully identified representative model parameter set, which is more skillful than what is attainable when using simultaneous multi-site (MS-S), multi-event multi-site (MS-ME) or at basin outlet (OU) approac
A constructive technology of the solution of the parametrized problems of the programmed optimal control of systems with the distributed parameters under the conditions of different requirements for the permissible de...
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A constructive technology of the solution of the parametrized problems of the programmed optimal control of systems with the distributed parameters under the conditions of different requirements for the permissible deviation of the resulting spatial distribution of the controlled value from the set magnitude in the uniform metric is proposed. The developed technique uses a special procedure of the one-criterion convolution of the considered constraints and the subsequent reduction to the typical form of the problems of mathematical programming on the extremum of a function of a finite number of variables with an infinite number of constraints (semi-infinite optimization problem), which is solved by the scheme of the previously developed alternance method. An example of optimization by the criteria of the speed and energy consumption of unsteady heat conduction processes with two different restrictions on the accuracy of approximation to the given temperature conditions, which is of independent interest, is given.
The energy absorption rate by a classical homogeneous plasma irradiated by a strong fluctuating laser field via inverse bremsstrahlung is considered. A chaotic-field model is used and comparison is made with the funda...
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The energy absorption rate by a classical homogeneous plasma irradiated by a strong fluctuating laser field via inverse bremsstrahlung is considered. A chaotic-field model is used and comparison is made with the fundamental model of a purely coherent field. In the present analysis, the emphasis is put on the interplay between the laser field statistics and the plasma electron energy distribution. Numerical calculations are concerned with the dependence of the energy absorption rates on laser intensity and frequency. Laser intensity values up to 4.6.10(15) W/cm2 are considered. The multiphoton structure of the energy absorption is analysed as well. Concerning the joint influence of the radiation and particle statistics on the absorption rate, the basic result may be stated as follows. For situations where the particle thermal velocity v(T) is larger than the oscillatory velocity v0 imparted by the field (v(T) greater-than-or-equal-to v0, relatively weak field), the absorption rate is only weakly dependent on the field statistics. For situations, instead, when v0 >> v(T), which occurs for very high intensities, the reverse becomes true: now the initial particle velocity distribution plays the modest role of a velocity spread of an electron beam oscillating at v0. In general, for very high intensities (v0 >> v(T)), the energy absorption via bremsstrahlung becomes less effective because the high oscillatory velocity v0 reduces the time available to electrons for the interaction with the ions, the third body which makes possible the exchange for energy between electrons and a radiation field. We report also, for the first time, results on the Marcuse effect for the case of a chaotic laser field, along with calculations of the absorption rate for a directed electron beam.
The effect of distributed parameters on conducted EMI is investigated in its motor drive system under load conditions for an electric vehicle. A conducted EMI testing platform was constructed for the system. By testin...
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The effect of distributed parameters on conducted EMI is investigated in its motor drive system under load conditions for an electric vehicle. A conducted EMI testing platform was constructed for the system. By testing the conducted EMIs from the system under both load and idle conditions, the propagation paths of both high-and-low frequency differential-mode noise and common-mode interference were analyzed and the equivalent circuits were established. In frequency domain, the mechanism of the conducted EMIs was studied and the effect of distributed parameters on them was discussed. Tests show that high-frequency conducted EMI can be reduced by properly enlarging the distributed capacitances both between ground and power devices in the motor controller and between ground and dc-bus. (C) 2016 Published by Elsevier Ltd.
In this paper, we study stabilization of Cohen-Grossberg type generalized neural networks with distributed parameters. The main idea is to treat the integral of the stochastic field solution to the system as the solut...
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ISBN:
(纸本)0780378652
In this paper, we study stabilization of Cohen-Grossberg type generalized neural networks with distributed parameters. The main idea is to treat the integral of the stochastic field solution to the system as the solution process to the corresponding stochastic ordinary differential equation and then discuss stabilization of the process of solution. The integral is respect to the spatial variables. To implement this idea, we use the Ito differential formula to compute the differential of a Lyapunov function along the system. The Lyapunov function is the average respect to the spatial variables. We found that there is no Ito formula for the stochastic systems with distributed parameters, up to now. Our method overcomes this difficulty. Also, we have not seen any result on the stochastic neural networks with distributed parameters.
The optimal boundary control problem for a differential system with delay and distributed parameters on the graph is considered. The spaces of integrable functions are used as state-space systems and the space of boun...
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ISBN:
(纸本)9781467376983
The optimal boundary control problem for a differential system with delay and distributed parameters on the graph is considered. The spaces of integrable functions are used as state-space systems and the space of boundary control and observation. The conditions of the unique solvability of the problem of optimal control are obtained.
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