On computing the worst-case peak gain of linear systems
On computing the worst-case peak gain of linear systems
V. Balakrishnan and S. Boyd
Systems and Control Letters, 19:265-269, 1992
Abstract: Based on the bounds due to Doyle and Boyd, we
present simple upper and lower bounds for the l^1-norm of the `tail'
of the impulse response of finite-dimensional discrete-time linear
time-invariant systems. Using these bounds, we may in turn compute
the l^infinity-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 l^infinity-gain of
discrete-time systems with diagonal perturbations.
Keywords: SISO discrete-time LTI systems, computation of
l^infinity-gain, discrete-time systems with diagonal perturbations,
worst-case l^infinity-gain.
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