Abstract
Holomorphic Dynamical systems is a class of infinite dimensional systems with a infinite number of zeros and no poles. Systems in this class are always BIBO stable with an exact finite settling time for the step response, because they are in feedforward mode, without any inherent feedback physical mechanism. In this paper a precise definition of Holomorphic Dynamical systems is given along with a stability result. Time solutions are also discussed and its control is addressed. This kind of systems are often present in PDE modelling of mass and energy transport phenomena for industrial plant units. Examples and one control application are presented, illustrating the approach described.
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