Abstract: The problem of absolute stability of a feedback loop of an abstract differential system in Hilbert spaces is considered. Application of Popov's type frequency domain criteria and of the Kalman-Yakubovich Lemma for the construction of Lyapunov functions are illustrated, in two situations pertaining to distributed systems. Finally, a new criterion for absolute stability of a class of parabolic systems with boundary feedback is presented.
Absolute stability of feedback systems in Hilbert spaces / F. Bucci. - STAMPA. - (1998), pp. 24-39. [978-0-7923-5067-5]
Absolute stability of feedback systems in Hilbert spaces
BUCCI, FRANCESCA
1998
Abstract
Abstract: The problem of absolute stability of a feedback loop of an abstract differential system in Hilbert spaces is considered. Application of Popov's type frequency domain criteria and of the Kalman-Yakubovich Lemma for the construction of Lyapunov functions are illustrated, in two situations pertaining to distributed systems. Finally, a new criterion for absolute stability of a class of parabolic systems with boundary feedback is presented.
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