Abstract— This paper presents the modified bilinear volterra adaptive filter technique without considering the cross correlated input and output terms for nonlinear system identification. The result obtained by our proposed technique is compared with trigonometric, power and projected wavelet series expansions. In the present implementation the identification problem is performed on four series...

3 Example: Differentiating the Lotka-Volterra ODE system 2 3.1 The Lotka-Volterra ODE system . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 3.2 The derivatives of the Lotka-Volterra ODE system . . . . . . . . . . . . . . . . . . 3 3.3 Integration of the original and augmented Lotka-Volterra ODE system with the Runge-Kutta method . . . . . . . . . . . . . . . . . . . . . . . . . . . ....

Unsteady translation of a sphere in viscoelastic fluid is studied analytically. General, fully invertible relationships between an imposed time-dependent velocity and the resultant force are described terms Volterra series expansion. These results used to analyze particle motion fluids by Johnson-Segalman Giesekus models define general framework for analyzing weakly nonlinear microrheology meas...

This paper presents a new neural network-based model that can be applied to characterize the nonlinear dynamical behavior of power amplifiers. We use a time-delayed feed-forward neural network to make an input-output timedomain characterization, that can provide also an analytical expression (as a Volterra Series model) to predict the amplifier response to multiple power levels. Simulation resu...

applications of nonlinear dynamics model and design of complex systems understanding complex systems PDF predicting the future completing models of observed complex systems understanding complex systems PDF emergent properties in natural and artificial dynamical systems understanding complex systems PDF principles of systems science understanding complex systems PDF frequency domain analysis an...

Control performance assessment for a class of nonlinear systems using second-order Volterra series models based on nonlinear generalised minimum variance control M. Maboodi, A. Khaki-Sedigh & E.F. Camacho a Industrial Control Center of Excellence, Department of Systems and Control Engineering, Faculty of Electrical Engineering, K. N. Toosi University of Technology, Tehran, Iran b Department of ...

In this paper, the new iterative method with a reliable algorithm is applied to the systems of Volterra integro-differential equations. The method is useful for both linear and nonlinear equations. By using this method, the solutions are obtained in series form. Two linear and one nonlinear system of the equations are given to verify the reliability and efficiency of the method. Beside this, th...