… solve a fourth-order nonlinear system of Emden–Fowler model (FO-SEFM) using the
Levenberg–Marquardt backpropagation (LMB) neural network (NNs), ie, LMB-NNs. The systems of …

… Finding a good observer for an uncertain nonlinear system is not an obvious task. … fourth-order
nonlinear system of relative degree two and a high-bandwidth attitude command system …

… -based controller is designed for a class of nonlinear systems with constant input and state…
A simulation program was written in Visual C++, using a fourth-order fixed step size Runge–…

… The integration method is the fourth order RungeKutta algorithm with an integration time
step interval of 0.001. The program is running on a Dell OPTIPLEX GX260 computer with Intel …

… approach to backstepping control of nonlinear systems using NN is presented. We will use
neural nets in each stage of the … and its derivative up to the fourth order be bounded. Let …

… systems (FONSs) requires the analytic calculation of fractional derivatives of certain … as
the order of the system increases. This article aims to facilitate the adaptive neural network (NN) …

… is an artificial neural network (ANN) identification method. Artificial neural networks were …
By inspecting the fourth column in Table 1, which shows the dimensionless error ratio (μ/μref…

… (NN) technique seems to be a very effective tool to control a wide class of complex nonlinear
system when we have no complete model information or, even, consider a controlled plant …

… fourth/fifth order accurate Runge-Kutta … As in Example 1, we again resort to Powell’s method
to solve the nonlinear equations. In this case, the algorithm minimizes the following scalar …

… classes of nonlinear control problems involving neural networks. … significantly more difficult
when the plant is nonlinear. … can be represented as the output of the following fourth order …