On controllability and observability of fuzzy dynamical matrix Lyapunov systems (Q981832)
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scientific article; zbMATH DE number 5734333
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On controllability and observability of fuzzy dynamical matrix Lyapunov systems |
scientific article; zbMATH DE number 5734333 |
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On controllability and observability of fuzzy dynamical matrix Lyapunov systems (English)
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9 July 2010
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Summary: We provide a way to combine matrix Lyapunov systems with fuzzy rules to form a new fuzzy system called fuzzy dynamical matrix Lyapunov system, which can be regarded as a new approach to intelligent control. First, we study the controllability property of the fuzzy dynamical matrix Lyapunov system and provide a sufficient condition for its controllability with the use of a fuzzy rule base. The significance of our result is that, given a deterministic system and a fuzzy state with rule base, we can determine the rule base for the control. Further, we discuss the concept of observability and give a sufficient condition for the system to be observable. The advantage of our result is that we can determine the rule base for the initial value without solving the system.
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