Forecasting performances of feed-forward and recurrent neural networks (NN) trained with different learning algorithms are analyzed compared using the Mackey-Glass nonlinear chaotic time series. This system is a known benchmark test whose elements hard to predict. Multi-layer Perceptron NN was chosen as network because it still most commonly used in financial forecasting models. It modified version so-called Dynamic characterized dynamic neuron model, i.e., Auto Regressive Moving Average...

In this paper, a design procedure and experimental implementation of PID controller is presented. The tuned according to damping optimum in order achieve precise position control pneumatic servo drive. It extended by friction compensation stabilization algorithm deal with effects. case supply pressure variations, more robust system needed. implemented extending the proposed compensator gain scheduling algorithm, which provided means fuzzy logic. effectiveness algorithms experimentally...

The paper presents a gradient-based algorithm for optimal control of nonlinear multivariable systems with and state vectors constraints.The has backward-intime recurrent structure similar to the backpropagation-throughtime (BPTT) algorithm, which is mostly used as learning dynamic neural networks.Other main features include use higher order Adams timediscretization schemes, numerical calculation Jacobians, advanced conjugate gradient methods favorable convergence properties.The performance...

The existing controllers for robot manipulators with uncertain gravitational force can globally stabilize only revolute joints. main obstacles to the global stabilization of mixed and prismatic joints are unboundedness inertia matrix Jacobian gravity vector. In this note, a class stable is proposed. asymptotic achieved by adding nonlinear proportional derivative term linear proportional-integral-derivative (PID) controller. By using Lyapunov's direct method, explicit conditions on controller...

In this paper, a new class of finite-dimensional repetitive controllers for robot manipulators is proposed. The global asymptotic stability proved the unperturbed system. passivity-based design proposed controller avoids problem tight conditions and slow convergence conventional, internal model-based, controllers. passive interconnection nonlinear mechanical systems provides same as with exact feed-forward compensation dynamics. simulation results on three degrees freedom spatial manipulator...

This work considers the application of radial basis function neural network (RBFNN) for tool wear determination in milling process. Tool wear, i.e., flank zone widths, have been estimated two phases using types RBFNN algorithms. In first phase, pattern recognition algorithm is used order to classify features three level classes (initial, normal and rapid wear). On behalf these results, second regression utilized estimate average amount widths. were extracted time frequency domain from...

General Relativity Theory (GRT) cannot be applied to the extremely strong gravitational field at Planck's scale, because of related singularity.Here we show that Relativistic Alpha Field (RAF) theory extends application GRT fields scale.This is consequence following predictions RAF theory: a) no a singularity Schwarzschild radius, b) there exists minimal radius r = min (GM/2c 2 ) prevents 0, i.e. nature protects itself, c) force becomes positive (repulsive) if (GM/rc > 1, could source dark...

The paper presents a conjugate gradient-based numerical algorithm for optimal control of nonlinear multivariable systems with and state vectors constraints. has backward-in-time recurrent structure similar to the backpropagation-through-time (BPTT) algorithm. emphasis is on implementation testing various gradient methods. A vehicle dynamics example demonstrates that use algorithms leads substantial reduction computational time when compared standard constant learning rate.

General Relativity Theory (GRT) cannot be applied to the extremely strong gravitational field at Planck's scale, because of related singularity.Here we show that Relativistic Alpha Field (RAF) theory extends application GRT fields scale.This is consequence following predictions RAF theory: a) no a singularity Schwarzschild radius, b) there exists minimal radius r = (GM/2c 2 ) prevents 0, i.e. nature protects itself, c) force becomes positive (repulsive) if (GM/rc > 1, could source dark...

As it is well known today, the universe continues to expand, even at an accelerating rate.The main reason for unknown energy called a dark energy.This occupies about 68 percents of total in universe.One candidates source cosmological constant Λ.Meanwhile, recently developed Relativistic Alpha Field (RAF) theory predicts (among others) that gravitational force becomes positive (repulsive) if (GM/rc 2 ) > 1, could be energy.Here we derived equations motion using field parameters from RAF...

Relativity Theory (GRT) cannot be applied to the extremely strong gravitational field at Planck's scale, because of related singularity.Here we show that Relativistic Alpha Field (RAF) theory extends application GRT fields scale.This is consequence following predictions RAF theory: a) no a singularity Schwarzschild radius, b) there exists minimal radius r = (GM/2c 2 ) prevents 0, i.e. nature protects itself, c) force becomes positive (repulsive) if (GM/rc > 1, could source dark energy, and...

A new very fast algorithm for synthesis of a structure discrete-time neural networks (NN) is proposed. For this purpose the following concepts are employed: (i) combination input and output activation functions, (ii) time-varying signal distribution, (iii) time-discrete domain (iv) one-step learning iteration approach. The problem input-output mappings vectors solved. Simulation results based on feedforward NN an universal logical unit presented. proposed procedure useful applications to...

A new analytic fuzzy logic control (FLC) system synthesis without any rule base is proposed. For this purpose the following objectives are preferred and reached: 1) an introduction of a adaptive shape sets distribution input sets, 2) determination activation function for output instead using min-max operators, 3) definition that determines positions centers in each mapping process, base. real capability proposed FLC procedures presented by robot RRTR-structure.

An alpha field is a potential that can be presented by two dimensionless parameters α and α′. To this category belong, among the others, electromagnetic gravitational fields. The α′ should satisfy equations of related in each concrete case. problem to derive generalized relativistic Hamiltonian applied an field. Starting with variation principle line element ds2, linear Dirac's like has been derived as function comparison coefficients well known helps understand their physical sense....

The relation between cosmological constant Λ and the energy density of vacuum has led to a big problem. Thus, modern quantum field theories such as QCD, EW GUTs predicted vary large values for ρΛ its dimensionless form ΩΛ,0 at present time (GUTs: ρΛ=1093 g cm−3, = 10122 h0−2, where h0 is Hubble parameter). On other side some cosmologists have preferred that should be close zero. But, setting zero not in accordance with observations indicating fact order unity. Now, main problem find out...

Abstract In this paper a new class of globally stable finite dimensional repetitive controllers for nonlinear passive systems is proposed. The proposed internal model‐based controller has structure in the form parallel connection linear oscillators and one integrator. interconnection provides same stability conditions as with exact feed‐forward compensation system dynamics. existing external can be derived special cases controller. Copyright © 2010 John Wiley Sons Asia Pte Ltd Chinese...

Views Icon Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Twitter Facebook Reddit LinkedIn Tools Reprints and Permissions Cite Search Site Citation Branko M. Novakovic, Dario B. Alen Novakovic; The Cosmological Constant Λ is not Really but the Function of a Gravitational Radius. AIP Conf. Proc. 19 August 2004; 718 (1): 133–143. https://doi.org/10.1063/1.1787318 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote...

In Relativistic Alpha Field Theory (RAFT or RAF theory) there are two the most intriguing conclusions.The first one is that Energy Momentum Tensor (EMT) of gravitational static field obeys following properties: 1) symmetry, 2) non-negative energy density and 3) zero trace EMT.Here means positive, but at radius r c = GM/c 2 zero.This corresponds to point where acceleration equal because negative changing into positive one.This crucial difference between theory gravity approach, without null...

This paper is concerned with L2-gain optimisation of input-affine nonlinear systems controlled by analytic fuzzy logic system. Unlike the conventional fuzzy-based strategies, non-conventional control method does not require an explicit rule base. As first contribution this paper, we prove, using Stone–Weierstrass theorem, that proposed system without base universal approximator. The second algorithm for solving a finite-horizon minimax problem optimisation. consists recursive chain first-...

Classical quantum gravity approach is presented in the frame work of new Relativistic Alpha Field Theory (RAFT).It very important to describe at Planck's scale and near compact astrophysical objects where effects cannot be ignored.Meanwhile, General Relativity (GRT) applied extremely strong gravitational field scale, because related singularity.Recently developed RAF theory extends application GRT fields, including scale.This consequence determination parameters by using condition that they...

The paper presents a gradient-based numerical algorithm for optimal control of nonlinear multivariable systems with and state vectors constraints. has backward-in-time recurrent structure similar to the backpropagation-through-time (BPTT) algorithm, which is mostly used as learning dynamic neural networks. This an enhancement basic optimization algorithm. Our enhanced uses high-order Adams time-discretization schemes instead Euler discretization method, calculation Jacobians alternative...