Limit 2-cycles for a discrete-time bang-bang control model (Q1925524)
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scientific article; zbMATH DE number 6116519
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit 2-cycles for a discrete-time bang-bang control model |
scientific article; zbMATH DE number 6116519 |
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Limit 2-cycles for a discrete-time bang-bang control model (English)
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18 December 2012
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Summary: A discrete-time periodic model with bang-bang feedback control is investigated. It is shown that each solution tends to one of four different types of limit 2-cycles. Furthermore, the accompanying initial regions for each type of solutions can be determined. When a threshold parameter is introduced in the bang-bang function, our results form a complete bifurcation analysis of our control model. Hence, our model can be used in the design of a control system where the state variable fluctuates between two state values with decaying perturbation.
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discrete-time periodic model
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bang-bang feedback control
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limit 2-cycles
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0.88723767
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0.8821079
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0.85867053
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0.8560247
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0.85516095
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0.8524308
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