On invariant sets for constrained discrete time linear systems with disturbances and parametric uncertainties (Q1129713)

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scientific article; zbMATH DE number 1192937
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On invariant sets for constrained discrete time linear systems with disturbances and parametric uncertainties
scientific article; zbMATH DE number 1192937

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    On invariant sets for constrained discrete time linear systems with disturbances and parametric uncertainties (English)
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    28 April 1999
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    A discrete-time linear control system with constraints on both control and state variables in the presence of disturbances and parametric uncertainties is considered. The problem of keeping the state trajectory to a given set (by means of a state feedback control law) is studied. Moreover, some maximal sets in disturbance and parameter product space are investigated, such that the invariance of a given set in the state space is preserved (applying a suitable control).
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    uncertain discrete time systems
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    maximal invariant sets
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    input saturation
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    constraints
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