Human balance with exoskeleton assistance is studied using an inverted pendulum model,
considering time delays in the muscle reflexes and the exoskeleton controller. The model …

In the usual approach to determining the stability of a time-periodic delay differential
equation (DDE), the DDE is converted into an approximate system of time-periodic ordinary …

In this paper, we investigate the complex dynamics of a mapping derived from a differential
equation with simple time-periodic delay. Firstly, we calculate the truncated normal form of 1 …

In this work, a new methodology is proposed to obtain the feedback gains for the closed-
loop control systems having time-periodic delays. A new pseudo-inverse method combined …

Many practical systems have inherent time delays that cannot be ignored; thus, their
dynamics are described using delay differential equations (DDEs). The Galerkin …

The diameter and power of wind turbines have steadily increased during the last decades,
and we expect that future wind turbines will reach even greater diameters and speeds. The …

This article describes stability studies on parameter-excited linear vibration systems with
time delay. A method for stability analysis is presented. Therefore, the transcendental …

The dynamic analysis of torque-transmitting flexible rotors is a research subject of great
interest in mechanics of machines, presently encouraged by a general increasing trend …

Two dimensions Mathieu equation containing periodic terms as well as the delayed
parameters has been investigated in the present work. The present system represents to a …