A multi-input and multi-output optimal controller for stochastic systems with time-varying dynamics is developed. The system to be controlled is described using a multi-input and multi-output time-varying autoregressive moving average model with multiple delays. The controller minimises a generalised minimum variance cost functional that is the sum of quadratic output tracking error variances a...

Time-varying delays adversely affect the performance of networked control systems (NCS) and in the worst-case can destabilize the entire system. Therefore, modelling network delays is important for designing NCS. However, modelling time-varying delays is challenging because of their dependence on multiple parameters such as length, contention, connected devices, protocol employed, and channel l...

Raw space-based gravitational-wave data like LISA's phase measurements are dominated by laser frequency noise. The standard technique to make this usable for science is time-delay interferometry (TDI), which cancels noise terms forming suitable combinations of delayed measurements. We recently introduced the basic concepts an alternative approach which, unlike TDI, does not rely on independent ...

In this paper, a Hopfield neural network with neutral time-varying delays is investigated by using the continuation theorem of Mawhin’s coincidence degree theory and some analysis technique. Without assuming the continuous differentiability of time-varying delays, sufficient conditions for the existence of the periodic solutions are given. The result of this paper is new and extends previous kn...