This paper is concerned with stability properties of a Lur'e system obtained by interconnection of a general linear time-invariant block (possibly, infinite-dimensional) and a periodic nonlinearity. Such systems usually have multiple equilibria. In the paper, two new frequency-algebraic stability criteria are established by using. Popov's method of "a priori integral indices", Leonov's method of nonlocal reduction and the Bakaev-Guzh technique.

New criteria for gradient–like behavior of synchronization systems with distributed parameters / Smirnova, Vera B.; Proskurnikov, Anton V.; Pak, Ella E.; Titov, Roman V.. - (2020), pp. 1-4. (Intervento presentato al convegno 2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)) [10.1109/STAB49150.2020.9140672].

New criteria for gradient–like behavior of synchronization systems with distributed parameters

Proskurnikov, Anton V.;
2020

Abstract

This paper is concerned with stability properties of a Lur'e system obtained by interconnection of a general linear time-invariant block (possibly, infinite-dimensional) and a periodic nonlinearity. Such systems usually have multiple equilibria. In the paper, two new frequency-algebraic stability criteria are established by using. Popov's method of "a priori integral indices", Leonov's method of nonlocal reduction and the Bakaev-Guzh technique.
2020
978-1-7281-6705-3
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2842048