It is shown that this process can be modelled as a non-linear time delay system with distributed delays.
In system (1), when (b ne0), one has a so-called non-pure time delay, and when (b = 0), it is called a pure time delay.
An explanation of this non-random time delay is that a component of the first group, on its way to the southern hemisphere resonates with counter-streaming electrons, close to the equatorial plane, causing some of them to diffuse in pitch angle and precipitate into the northern atmosphere.
It can be found that the influence of circumferential non-uniformity can become significant on the lowest frequency instabilities, in particular, the oscillation frequency and growth rate are all evidently affected by temperature non-uniformity and time delay non-uniformity.
This article investigates the order-reduction method for multi-spacecraft cooperative tracking control problems considering non-uniform time delays.
A new methodology is developed in this work to calculate discrete cross-correlation functions of non-negative time delays and associated cross-power spectra, referred to as half spectra, for OMA.
Although there are a wide range of approaches to systems dynamics modelling, [ 21] these generally share the premise that complex systems behavior results from the interplay of feedback loops, multiple interconnections, non-linearities, time delays, stocks, and flows that all occur within a system, which can be mapped and, in some circumstances, modelled using computer simulation [ 22].
To extend inverted decoupling control method to the non-square multivariable time delay system, this paper presents a block inverted decoupling control approach with internal model structure.
The dynamic difficulties that involved this hydraulic systems such as non-linearity, varying time delay, and uncontrolled perturbations make the choice of a suitable automatic control method a challenge.
Under non-linear conditions the time delay depends on the degree of non-linearity as well as on the diffusional time constant.
The method is applicable to design a controller for One Non Integer Order Plus Time Delay (NIOPTD-I) plant which satisfies design specifications such as phase margin and gain crossover frequency.
