A lattice control model of fuzzy dynamical systems in state-space (Q2759948)
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scientific article; zbMATH DE number 1683942
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A lattice control model of fuzzy dynamical systems in state-space |
scientific article; zbMATH DE number 1683942 |
Statements
9 July 2003
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minimax algebra
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lattice erosions
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lattice control
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fuzzy dynamical systems
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transformations
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lattice dilations
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supremal convolutions
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causality
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stability
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controllability
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observability
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lattice adjunctions
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A lattice control model of fuzzy dynamical systems in state-space (English)
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The author introduces a special lattice control that can model fuzzy dynamical systems in the state space. Vector and signal transformations are represented as lattice dilations or erosions. The state and output responses are computed via supremal convolutions based on fuzzy norms. The authors study also causality and stability issues, and they found solutions to the controllability and observability problems using lattice adjunctions.NEWLINENEWLINEFor the entire collection see [Zbl 0971.00025].
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