Induced norms for sampled-data systems

Abstract In this paper, we consider a general linear interconnection of a continuous-time plant and a discrete-time controller via sample and hold devices. When the closed loop sampled-data feedback system is internally stable, bounded inputs produce bounded outputs. We present some explicit formulae for the induced norm of the closed loop system with L ∞ (i.e. peak value) and 1 (i.e. integral absolute) norms on the input and output signals.

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