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Within a nonzero, real Banach space we study the problem of characterising a maximal extension of a monotone operator in terms of minimality properties of representative functions that are bounded by the Penot and Fitzpatrick functions. We single out a property of this space of representative functions that enable a very compact treatment of maximality and(More)
A dual formulation for the problem of determining absolute performance limitations on overshoot, undershoot, maximum amplitude and fluctuation minimisation for continuous-time feedback systems is constructed. Determining , for example, the minimum possible overshoot attainable by all possible stabilising controllers is an optimisation task that cannot be(More)
A dual formulation for the problem of determining absolute performance limitations on overshoot, undershoot, maximum amplitude and fluctuation minimisation for continuous-time feedback systems is constructed. Determining , for example, the minimum possible overshoot attainable by all possible stabilising controllers is an optimisation task that cannot be(More)
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