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Based on a one-shot input-output set of data from an LTI system, we present averification method of dissipativity property based on a general quadraticsupply-rate function. We show the applicability of our approach for identifyingsuitable general quadratic supply-rate function in two numerical examples, oneregarding the estimation of $\mathcal{L}_2$-gains and one where we verify thedissipativity of a mass-spring-damper system.

On the one-shot data-driven verification of dissipativity of LTI systems with general quadratic supply rate function