Preservation of external positivity in discretization of linear systems
European Journal of Control(2021)
摘要
We study the preservation of impulse response non-negativity, also known as external positivity, for general discretization methods. The results yield new subsets in the space of transfer function coefficients which ensure external positivity. Consequently, linear programming approaches for designing controllers ensuring monotonic step responses are derived for both continuous and discrete-time systems.
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关键词
Linear systems,Discretization,External positivity,Linear programming,Monotonic step response,Complete monotonicity
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