A Probabilistic Theory of Pattern Recognition (Stochastic by Luc Devroye

By Luc Devroye

A self-contained and coherent account of probabilistic options, protecting: distance measures, kernel principles, nearest neighbour principles, Vapnik-Chervonenkis idea, parametric class, and have extraction. every one bankruptcy concludes with difficulties and routines to extra the readers knowing. either learn employees and graduate scholars will make the most of this wide-ranging and updated account of a quick- relocating box.

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Is defined as ∞ J(x0 , u0 ) = U (xk , uk ), (2) k=0 where U (xk , uk ) > 0, for xk , uk = 0, is the utility function. The goal of this paper is to find an optimal control scheme which stabilizes the system (1) and simultaneously minimizes the performance index function (2). For convenience of analysis, results of this paper are based on the following assumptions. Assumption 1. System (1) is controllable and the function F (xk , uk ) is Lipschitz continuous for xk , uk . Assumption 2. , F (0, 0) = 0.

Diao et al. 5 100 3 (a) The output voltage responses. 5 -1500 0 3 (c) NN estimation of δdc . 5 3 (d) NN estimation of δd . 05 Time/s (b) The supply voltage and input current of phase-A. 5 Time/s (e) NN estimation of δq . (f) The derivatives of the virtual control law. Fig. 3. The simulation results. can approximate the uncertainties quickly and accurately. Fig. 3(f) shows the derivatives of the virtual control law obtained by the LTD and the first-order filter. It can be noticed that the peaking phenomenon of the filter is suppressed by using the LTD, which can ensure the system stability during the initial phase.

IEEE Transactions on Power Electronics 26(5), 1559–1567 (2011) 4. : Robust model predictive current control of three-phase voltage source PWM rectifier with online disturbance observation. IEEE Transactions on Industrial Informatics 8(3), 459–471 (2012) 5. : Feed-forward transient current control for low-voltage ride-through enhancement of DFIG wind turbines. IEEE Transactions on Energy Conversion 25(3), 836–843 (2010) 6. : Study and control of three-phase PWM rectifier based on dual single-input single-output model.

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