On the positive invariance of polyhedral sets for discrete-time systems (Q1113859)
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scientific article; zbMATH DE number 4081414
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the positive invariance of polyhedral sets for discrete-time systems |
scientific article; zbMATH DE number 4081414 |
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On the positive invariance of polyhedral sets for discrete-time systems (English)
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1988
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Necessary and sufficient conditions for a polyhedral set to be a positively invariant set of a linear discrete-time system are established. A main ingredient in the proof is the duality theorem of linear programming. Parts of the results can also be stated in terms of a non-quadratic Lyapunov-function.
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polyhedral set
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positively invariant set
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linear discrete-time system
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non-quadratic Lyapunov-function
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0.97285306
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0.9430445
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0.9369256
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0.93681014
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0.92559254
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0.9111939
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