In the stability study of nonlinear systems, not to found feasible solution for the LMI problem associated with a quadratic Lyapunov function shows that it doesn’t exist positive definite quadratic Lyapunov function that proves stability of the system, but doesn’t show that the system...

The response of a two-degree-of-freedom system with quadratic coupling under a modulated amplitude sinusoidal excitation is studied and solved. The method of multiple scale perturbation technique is applied to obtain the bifurcation response equation near the combination resonance case in the...

This paper presents a method for stability analysis of N-cell cascade step-down buck converters, which is a kind of complex nonlinear system. A nonlinear model in the form of time-variant state equations is derived, and then the loop gain describing the overall system is introduced. With the...

The filtering problem (or the dynamic data assimilation problem) is studied for linear and nonlinear systems with continuous state space and over discrete time steps. Filtering approaches based on the conjugate closed skewed normal probability density function are presented. This distribution...

Structural and parametric identification of nonlinear continuous dynamic systems with a closed cycle on a set of continuous block-oriented models with feedback is considered. The method of structural identification in the steady state based on the observation of the system's input and output...

Regional vulnerability research is helpful in understanding the formation mechanism of regional disaster risk deeply. Owing to the pressure from earthquake disasters occurred frequently in the whole world, the assessment of regional vulnerability to seismic hazards is a focus in current research...

Recently, a semi-implicit one-dimensional CE–SE (conservation element–solution element) method for the calculation of the unsteady flow of one and several chemical species tracking in engine ducts has been developed in Arnau et al. [J.M. Arnau, S. Jerez, L. Jódar, J.V. Romero, A...

Purpose – The main purpose of this paper is to enhance the control performance of the robotic arm by the controller of fuzzy neural network (FNN). Design/methodology/approach – The robot system has characters of high order, time delay, time variation and serious nonlinearity. The classical...