Linear dynamical systems with partial derivatives (Q801279)
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scientific article; zbMATH DE number 3877844
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear dynamical systems with partial derivatives |
scientific article; zbMATH DE number 3877844 |
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Linear dynamical systems with partial derivatives (English)
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1984
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The author considers the following system: \[ \partial x/\partial t+\sum^{n-1}_{i=1}A_ i\partial x/\partial s_ i=A_ 0x+BV,\quad y=C_ 0x+\sum^{n-1}_{i=1}C_ i\partial x/\partial s_ i+V \] with some boundary conditions. An operator function mapping the Laplace transform of V into the Laplace transform of y is said to be a transfer function. Supposing the \(\{A_ i\}\) form a Lie-algebra the author shows that the transfer function in certain sense determines the considered system.
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linear dynamical systems with partial derivatives
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Laplace transform
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transfer function
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Lie-algebra
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