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The HR-Calculus: Enabling Information Processing with Quaternion Algebra
From their inception, quaternions and their division algebra have proven to be advantageous in modelling rotation/orientation in three-dimensional spaces and have seen use from the initial formulation of electromagnetic filed theory through to forming the basis of quantum filed theory.
On the dynamics of multi agent nonlinear filtering and learning
Multiagent systems aim to accomplish highly complex learning tasks through decentralised consensus seeking dynamics and their use has garnered a great deal of attention in the signal processing and computational intelligence societies.
On Stability and Convergence of Distributed Filters
The paradigm of stability and convergence in distributed filtering is revised in this manuscript.
A Distributed Quaternion Kalman Filter With Applications to Fly-by-Wire Systems
The introduction of automated flight control and management systems have made possible aircraft designs that sacrifice arodynamic stability in order to incorporate stealth technology intro their shape, operate more efficiently, and are highly maneuverable.
Frequency estimation in three-phase power systems with harmonic contamination: A multistage quaternion Kalman filtering approach
In the first stage a quaternion extended Kalman filter, which provides a unified framework for joint modeling of voltage measurements from all the phases, is used to estimate the instantaneous phase increment of the three-phase voltages.
