In this paper the clockwise property of the Nyquist plot of stable transfer functions is addressed. The relationships between clockwise property and modulus and/or phase monotonicity are analyzed. Some necessary and sufficient conditions for a class of stable transfer functions to enjoy the clockwise property are obtained. These results are used to enlarge the class of systems for which the Kalman conjecture on absolute stability of nonlinear systems holds.
Clockwise property of the Nyquist plot with implications for absolute stability / Tesi, A; Vicino, A.; Zappa, G.. - In: AUTOMATICA. - ISSN 0005-1098. - STAMPA. - 28:(1992), pp. 71-80. [10.1016/0005-1098(92)90008-4]
Clockwise property of the Nyquist plot with implications for absolute stability
TESI, ALBERTO;ZAPPA, GIOVANNI
1992
Abstract
In this paper the clockwise property of the Nyquist plot of stable transfer functions is addressed. The relationships between clockwise property and modulus and/or phase monotonicity are analyzed. Some necessary and sufficient conditions for a class of stable transfer functions to enjoy the clockwise property are obtained. These results are used to enlarge the class of systems for which the Kalman conjecture on absolute stability of nonlinear systems holds.
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