General analytical procedure for determination of the transverse feedback system parameters with a nonlinear regime of injection oscillations damping in circular accelerators and colliders is described. For this feedback loop the dependence between the kick value in the deflector and the beam deviation at the pick-up location is a nonlinear function. The beam dynamic nonlinear equation of the t...

This paper basically follows [1], where the transfer function formalism in nonlinear control systems, both continuous and discrete-time, is discussed. Here, we demonstrate how such a formalism can be adopted to design constrained nonlinear discrete-time controller for a fluid tank system. The first step consists in finding appropriate nonlinear discrete-time description for a fluid tank system,...

In this paper, a hybrid heuristic scheme based on two different basis functions i.e. Log Sigmoid and Bernstein Polynomial with unknown parameters is used for solving the nonlinear heat transfer equations efficiently. The proposed technique transforms the given nonlinear ordinary differential equation into an equivalent global error minimization problem. Trial solution for the given nonlinear di...

Abstract T his paper is to convince the usage of the nonlinear unit root tests when dealing with a nonlinear model. To do so, the stationary test for variables in a model titles “Fiscal Reaction Function in Iran” has been applied according to both the ordinary and the Nonlinear Dickey-Fuller (NDF) tests. Results show that while variables under investigation are stationary ...

This paper presents a procedure for the identification of continuous-time systems with memoryless nonlinear feedback. The feedback nonlinear element, described by a bounded unknown function, is expressed as a linear combination of some base functions. Both the parameters of the feedforward linear system and of the nonlinear element representation are identified. To improve the representation of...

A simplified optoelectronic 3R regenerator without electrical signal processing is demonstrated by utilizing the nonlinear electro-optical transfer function of an electroabsorption modulator. 3R regeneration of impaired 10-Gb/s RZ signals is demonstrated, verifying the proposed concept.

We apply nonparametric estimation theory in the framework of null recurrent Markov chains. In particular we show how a transfer function can be estimated and indicate connections to nonlinear cointegration.

This paper describes the development of transfer function models for the trailing edge and upperand lower-spoiler actuators of the Benchmark Active Control Technology (BACT) wind-tunnel model for application to control system analysis and design. A simple nonlinear least squares parameter estimation approach is applied to determine transfer function parameters from frequency response data. Unco...

nowadays, it has demonstrated that viruses can be transmitted by water and foods. therefore, it causes the research to develop for detecting different viruses in water and foods. among foods, milk can transfer potentially pathogenic viruses. on the other hand, to achieve every method for recovery and extraction of viruses in raw milk it needs to know about impact of milk components on viruses. ...

In this paper, effects of the different apodization and chirp functions in one-dimensional nonlinear Bragg grating on switching characteristics are studied. It is shown that with increasing the Gaussian width in the case of Gaussian apodization, slope of transfer function is increased. The situation is same in the case of raised cosine apodization function too. Also, in the case of quadratic ap...