Abstract
The problem of absolute stability of a feedback loop of an abstract differential system in Hilbert spaces is considered. Applications 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.
This research was supported by the Italian Ministero dell’Università e della Ricerca Scientifica e Tecnologica within the program of GNAFA-CNR.
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Bucci, F. (1998). Absolute Stability of Feedback Systems in Hilbert Spaces. In: Optimal Control. Applied Optimization, vol 15. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6095-8_2
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DOI: https://doi.org/10.1007/978-1-4757-6095-8_2
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