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- W2092126731 abstract "Abstract To begin with we present an extension of the stability circle criterion, and some variants, for non-linear feedback systems with distributed parameter. The non-linearity is assumed to be bounded by two gains which depend on the time and the parameter and the criteria stated involve the spatial mean square of the upper and lower gain. Then systems with periodical space and time-varying gain are considered ; and for such systems, a stability criterion explained by means of the spatial mean of the mean power of the signals is stated. It is shown that this criterion is less restrictive than the similar one stated in L2 space. On propose d'nbord une extension du critére de stabilityé du ecrcle, et quolques variantes, pour los systémes non linéaires a paramétro réparti. La non-linéarité est comprise entre deux gains extrémes qui dépendent explieitement du temps et du paramétro, et les critéres sunt áenoncés a l'aide de la moyenne quadratique spatinle de ces gains. Ensuite on considéré des systémes avec gain périodiquo dans l'espacc et dans le temps, et pour de tela systémes, on énonco im eritere de stabilityé qui s'exprimo a l'aide de la moyenne spatinle de la puissance moyenne des signaux. On montre que ce critéré est moins restrictif que le critéré analogue énoncé dans l'espace L2" @default.
- W2092126731 created "2016-06-24" @default.
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- W2092126731 date "1973-07-01" @default.
- W2092126731 modified "2023-10-16" @default.
- W2092126731 title "Mean-square criteria for the stability of non-linear distributed parameter systems†" @default.
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- W2092126731 doi "https://doi.org/10.1080/00207177308932528" @default.
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