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Chain controllability of linear control systems - MaRDI portal

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Chain controllability of linear control systems (Q6594336)

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scientific article; zbMATH DE number 7902756
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English
Chain controllability of linear control systems
scientific article; zbMATH DE number 7902756

    Statements

    Chain controllability of linear control systems (English)
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    28 August 2024
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    This paper concerns the chain controllability properties of linear control systems with bounded control range. The authors propose novel mathematical approaches to characterize the chain control sets of such systems, using advanced concepts such as the Poincaré sphere and attractor-repeller decompositions. The main results include a characterization of the chain control set and an exploration of its properties in terms of Lyapunov spaces and projective geometry.
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    linear control system
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    chain control set
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    attractor
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    Poincaré sphere
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