ABSTRACT
In this work, we studied the controllability of Semilinear Systems in Banach Spaces. By using the Banach’s contraction mapping principle, the Semilinear system was reduced into a Linear system whose solution by Picard’s iteration method converges to a unique fixed point. By employing the Kalman’s controllability Criterion, the system was transformed into a controllability Gramian with rank n. This established the controllability of the system.
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