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EnglishThe method of nonlocal reduction has been proposed by G.A. Leonov in the 1980s for stability analysis of nonlinear feedback systems. The method combines the comparison principle with Lyapunov techniques. A feedback system is investigated via its reduction to a simpler "comparison" system, whose dynamics can be studied efficiently. The trajectories of the comparison system are explicitly used in the design of Lyapunov functions. Leonov's method proves to be an efficient tool for analysis of Lur'e-type systems with periodic nonlinearities and infinite sets of equilibria. In this paper, we further refine the nonlocal reduction method for periodic systems and obtain new sufficient frequency-algebraic conditions ensuring the convergence of every solution to some equilibrium point (gradient-like behavior).
Leonov’s method of nonlocal reduction and its further development / Smirnova, Vera B.; Proskurnikov, Anton V.. - ELETTRONICO. - (2020), pp. 94-99. ((Intervento presentato al convegno 2020 European Control Conference (ECC) [10.23919/ECC51009.2020.9143744].
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| Titolo: | Leonov’s method of nonlocal reduction and its further development | |
| Autori: | ||
| Data di pubblicazione: | 2020 | |
| Abstract: | The method of nonlocal reduction has been proposed by G.A. Leonov in the 1980s for stability anal...ysis of nonlinear feedback systems. The method combines the comparison principle with Lyapunov techniques. A feedback system is investigated via its reduction to a simpler "comparison" system, whose dynamics can be studied efficiently. The trajectories of the comparison system are explicitly used in the design of Lyapunov functions. Leonov's method proves to be an efficient tool for analysis of Lur'e-type systems with periodic nonlinearities and infinite sets of equilibria. In this paper, we further refine the nonlocal reduction method for periodic systems and obtain new sufficient frequency-algebraic conditions ensuring the convergence of every solution to some equilibrium point (gradient-like behavior). | |
| ISBN: | 978-3-90714-402-2 | |
| Appare nelle tipologie: | 4.1 Contributo in Atti di convegno |
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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| ECC20_0298_FI.pdf | 2. Post-print / Author's Accepted Manuscript | PUBBLICO - Tutti i diritti riservati | Visibile a tuttiVisualizza/Apri | |
| Final09143744.pdf | 2a Post-print versione editoriale / Version of Record | Non Pubblico - Accesso privato/ristretto | Administrator Richiedi una copia |
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