3 papers
math.RA2026
Computing Left Eigenvalues of Quaternion Matrices
Michael Sebek
We present a practical Newton-based method for computing left eigenvalues of quaternion matrices. It uses only standard real/complex linear-algebra kernels via embeddings and appli…
eess.SY2025
Observer Design over Hypercomplex Quaternions
Michael Sebek
We develop observer design over hypercomplex quaternions in a characteristic-polynomial-free framework. Using the standard right-module convention, we derive a right observable com…
eess.SY2025
Quaternionic Pole Placement via Companion Forms and the Ackermann Formula
Michael Sebek
We present an extension of state-feedback pole placement for quaternionic systems, based on companion forms and the Ackermann formula. For controllable single-input quaternionic LT…