Obtaining robust stability operationally

Robust stabilization is studied within the context of time-domain feedback control of single-input-single-output distributed parameter systems using approximate models. Using the operational methods of Mikusinski (1983), one can easily obtain strong versions of several famous theorems on robust stabilization. The operational methods of Mikusinski can play a powerful role in control theory. Using these methods, one is able to avoid the technical difficulties of convergence, existence, inversion, etc. associated with the Laplace transform. Unlike similar estimates obtained via the contraction mapping and small gain theorems, one is able to obtain robust stabilization free of restrictions on the size of certain error operators.<
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