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.
Titolo: | Absolute stability of feedback systems in Hilbert spaces |
Autori di Ateneo: | |
Autori: | BUCCI, FRANCESCA |
Anno di registrazione: | 1998 |
Titolo del libro: | Optimal Control: Theory, Algorithms, and Applications |
Pagina iniziale: | 24 |
Pagina finale: | 39 |
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. |
Handle: | http://hdl.handle.net/2158/7349 |
Appare nelle tipologie: | 2a - Art/Cap/Saggio libro scient/tech |
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