In most applications of control theory, it is natural to consider models where the control enters as a parameter. For example, in many systems of practical interest, the dynamics are affine in control. While such "control as parameter" models are physically natural, they are not necessarily mathematically natural. In this talk we shall discuss some of the mathematical limitations of these physical models, and consider some mathematically natural models that address some of the deficiencies of the "control as parameter" models. General mathematical models can bring with them their own difficulties, and we discuss these as well.

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Last Updated: Fri Mar 15 07:55:54 2024