A direct approach to second-order matrix non-classical vibrating equations (Q1294566)
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scientific article; zbMATH DE number 1311314
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A direct approach to second-order matrix non-classical vibrating equations |
scientific article; zbMATH DE number 1311314 |
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A direct approach to second-order matrix non-classical vibrating equations (English)
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29 November 1999
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The matrix differential equation \(Mq''(t)+ Cq'(t)+ Kq(t)= f(t)\) is solved by means of Laplace transform. The results are used to discuss an extended Cayley-Hamilton identity, controllability and observability matrices as well as Krylov's subspace method. Extensions both to higher-order equations and to the discrete cases are pointed out.
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Laplace transform
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matrix differential equation
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controllability
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observability
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