Structural identifiability analysis of nonlinear time delayed systems with generalized frequency response functions

Parametric Characteristic Analysis for Generalized Frequency Response Functions of Nonlinear Systems

In order to explicitly reveal the relationship between system frequency response functions and model parameters which define system nonlinearities, and consequently unveil a direct connection from model parameters to system frequency response characteristics, a parametric characteristic analysis approach is proposed for Volterra systems described by a nonlinear differential equation (NDE). The ...

Generalized projective synchronization in time-delayed systems: nonlinear observer approach.

In this paper, we consider the projective-anticipating, projective, and projective-lag synchronization in a unified coupled time-delay system via nonlinear observer design. A new sufficient condition for generalized projective synchronization is derived analytically with the help of Krasovskii-Lyapunov theory for constant and variable time-delay systems. The analytical treatment can give stable...

New Results on the Generalized Frequency Response functions of Nonlinear Volterra Systems Described by NARX model

Abstract: In order that the nth-order Generalized Frequency Response Function (GFRF) for nonlinear systems described by a NARX model can be directly written into a more straightforward and meaningful form in terms of the first order GFRF and model parameters, the nth-order GFRF is now determined by a new mapping function based on a parametric characteristic. This can explicitly unveil the linea...

Dynamic Analysis of Linear Structural Systems with Nonlinear Vibrating Isolators Using Mode Superposition Method

Dynamic Analysis of Linear Structural Systems with Nonlinear Vibrating Isolators Using Mode Superposition Method