Algebraic tools for the study of quaternionic behavioral systems (Q1779257)
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scientific article; zbMATH DE number 2173020
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic tools for the study of quaternionic behavioral systems |
scientific article; zbMATH DE number 2173020 |
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Algebraic tools for the study of quaternionic behavioral systems (English)
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1 June 2005
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The authors study the long term behavior of the solutions of quaternionic dynamical system governed by linear homogeneous matrix quaternionic difference equation. After developing the necessary algebraic properties and tools of quaternionic polynomials and Laurent-polynomials, they establish necessary and sufficient conditions for the controllability and asymptotic stability of the dynamical system under study.
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Smith form
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quaternionic dynamical system
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linear homogeneous matrix quaternionic difference equation
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controllability
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asymptotic stability
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