Find the state-transition matrix of the system

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A simplified linear state-space model of the ingestion of a drug in the bloodstream is given by

1410_dbfccc0f-5647-4c9f-a60e-92764038ab51.png

where

x1 = the mass of the absorbed drug in mg

x2 = the mass of the drug in the bloodstream in mg

u = the rate at which the drug is ingested in mg/min

(a) Find the state-transition matrix of the system.

(b) Obtain a discrete-time state-space model for the system with a sampling period T in terms of the model parameters.

Reference no: EM131264149

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