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.
1998
Optimal Control: Theory, Algorithms, and Applications
24
39
F. Bucci
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/7349
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