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Brief paperBounded input power-bounded output power stability criterionCritère de stabilité à puissance d'entrée et à puissance de sortie limiteésBeschränkte eingangsleistung-beschränkte eusgangsleistung-stabilitätskriteriumКpитepий ycтoйчивocти c oгpaничeнными cтeпeнями вчoдa и вычoдa☆

T.A. Bickart - No affiliation found

1971/03/01 Short communication DOI: 10.1016/0005-1098(71)90069-0 Journal: Automatica

Abstract:

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.