Immunity zones of controlled dynamical systems (Q2704007)

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Immunity zones of controlled dynamical systems
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    11 November 2001
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    nonlinear control systems
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    immunity zones
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    constrained controls
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    safe zone
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    controllability
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    stable limit sets
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    Immunity zones of controlled dynamical systems (English)
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    First, the notions of a safe zone of the controllability domain of a smooth control system, and of the immunity zone are defined. Next, a sufficient condition for existence of an immunity zone (under appropriate constraints on the control) of stable limit sets is proved. At the end, the structure of the boundary of such zones and their dependence on the constraints imposed on the control are studied. Some illustrative examples are also presented.
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