On Computing the Worst-Case Peak Gain of Linear Systems
نویسنده
چکیده
Based on the bounds due to Doyle and Boyd, we present simple upper and lower bounds for the `-norm of the `tail' of the impulse response of nite-dimensional discrete-time linear time-invariant systems. Using these bounds, we may in turn compute the `1-gain of these systems to any desired accuracy. By combining these bounds with results due to Khammash and Pearson, we derive upper and lower bounds for the worst-case `1-gain of discrete-time systems with diagonal perturbations.
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