𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Algebraic tools for the study of quaternionic behavioral systems

✍ Scribed by Ricardo Pereira; Paula Rocha; Paolo Vettori

Book ID
104036231
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
292 KB
Volume
400
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we study behavioral systems whose trajectories are given as solutions of quaternionic difference equations. As happens in the commutative case, it turns out that quaternionic polynomial matrices play an important role in this context. Therefore we pay special attention to such matrices and derive new results concerning their Smith form. Based on these results, we obtain a characterization of system theoretic properties such as controllability and stability of a quaternionic behavior.

πŸ“œ SIMILAR VOLUMES

Lie- and chronologico-algebraic tools fo
Lie- and chronologico-algebraic tools for studying stability of time-varying systems
✍ Andrey V. Sarychev πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 180 KB

We will study stability and asymptotic stability for time-varying systems described by ODEs of the form αΊ‹ = f( -1 t; x), where f(t; x) is 1-periodic with respect to t and ΒΏ0 is a small parameter. Since the discovery of stabilizing e ect of vibration in the reverse pendulum example, there have been a