Stability of quaternionic linear systems
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 estab...
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| Format: | article |
| Language: | eng |
| Published: |
2012
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| Online Access: | http://hdl.handle.net/10773/8448 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/8448 |
| Summary: | 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. |
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