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Analysis of switched linear systems in the plane. I: Local behavior of trajectories and local cycle geometry - MaRDI portal

Analysis of switched linear systems in the plane. I: Local behavior of trajectories and local cycle geometry (Q1072505)

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scientific article; zbMATH DE number 3941372
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English
Analysis of switched linear systems in the plane. I: Local behavior of trajectories and local cycle geometry
scientific article; zbMATH DE number 3941372

    Statements

    Analysis of switched linear systems in the plane. I: Local behavior of trajectories and local cycle geometry (English)
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    1987
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    This paper investigates the problem of control of switched linear systems evolving in \(R^ 2\). The concept of an opposition point is introduced, and its properties related to the existence of closed trajectories in the phase plane are investigated. The geometry of cycles in a neighbourhood of an opposition point is also studied.
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    switched linear systems
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    opposition point
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    geometry of cycles
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    variable structure systems
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