T.A. Bickart's Articles: (3)
AbstractA bounded input power-bounded output power stability criterion is derived for a class of single loop control systems having a memoryless, time-invariant, non-linear operator and a causal operator in the loop. The result is established by showing that a system from this class maps the Marcinkiewicz space M2 into itself. When the causal operator is further restricted to be a time-invariant, linear operator characterized by a convolution with a suitably restricted kernal, the main ingredient of the criterion can be replaced by the Popov criterion.
AbstractA bounded input power-bounded output power stability criterion is derived for a class of single loop control systems having a memoryless, time-invariant, non-linear operator and a causal operator in the loop. The result is established by showing that a system from this class maps the Marcinkiewicz space M2 into itself. When the causal operator is further restricted to be a time-invariant, linear operator characterized by a convolution with a suitably restricted kernal, the main ingredient of the criterion can be replaced by the Popov criterion.
AbstractA bounded input power-bounded output power stability criterion is derived for a class of single loop control systems having a memoryless, time-invariant, non-linear operator and a causal operator in the loop. The result is established by showing that a system from this class maps the Marcinkiewicz space M2 into itself. When the causal operator is further restricted to be a time-invariant, linear operator characterized by a convolution with a suitably restricted kernal, the main ingredient of the criterion can be replaced by the Popov criterion.