Obtaining robust stability operationally

The authors consider robust stabilization within the context of time-domain feedback control of single input single output distributed parameter systems using approximate models. It is shown that, using the operational methods of J. Mikusinski (Operational Calculus, 2nd. ed., vol.1, Pergamon Press, Oxford, 1983), one can easily obtain strong versions of several famous theorems on robust stabilization. Unlike similar estimates obtained via the small gain theorem, one is able to obtain robust stabilization free of restrictions on the size of certain error operators.<>