Title :
Stability of quaternionic linear systems
Author :
Pereira, Ricardo ; Vettori, Paolo
Author_Institution :
Dept. de Matematica, Univ. de Aveiro, Portugal
fDate :
3/1/2006 12:00:00 AM
Abstract :
The main goal of this paper is to characterize stability and bounded-input-bounded-output (BIBO)-stability of quaternionic dynamical systems. After defining the quaternion skew-field, algebraic properties of quaternionic polynomials such as divisibility and coprimeness are investigated. Having established these results, the Smith and the Smith-McMillan forms of quaternionic matrices are introduced and studied. Finally, all the tools that were developed are used to analyze stability of quaternionic linear systems in a behavioral framework.
Keywords :
input-output stability; linear systems; matrix algebra; polynomials; time-varying systems; Smith quaternionic matrix; Smith-McMillan quaternionic matrix; bounded-input-bounded-output stability; quaternion skew-field; quaternionic dynamical systems; quaternionic linear systems stability; quaternionic polynomials; Automatic control; Communication system control; Control systems; Delay; Filtering; Linear systems; Nonlinear systems; Robust control; Stability; Stochastic systems; Behaviors; quaternions; stability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2005.864202
