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Bounded Input Power-bounded Output Power Stability Criterion by T.A. Bickart; G. Prada is a Engineering article available to read on EtoBox.

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A 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 ..,/'/2 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. BENE~ [3] has pointed out that the existence of a system response in J[2 is of practical significance. The input to a system is often a "noise wave"--a sample function #(., o9) of a stochastic process, where toef~, a probability space-which is neither bounded nor square-integrable, that is, not of finite energy. If the process has finite power and is stationary, then, for almost all o~fl, the previously indicated limit exists and #(', to)e,,/(2. That being the case, it is quite reasonable to establish conditions under which #E.,~¢2 implies h~.,¢[2.\*

Who reads Bounded Input Power-bounded Output Power Stability Criterion?

Author

T.A. Bickart; G. Prada

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd.; Test accounts; Elsevier BV (ISSN 0005-1098)

Published

1971

Language

EN

Field

Engineering (Physical Sciences)