Global Stability of Nonlinear Feedback Systems with Fractional Positive Linear Parts

Autor:	Kaczorek Tadeusz
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	global stability fractional nonlinear feedback positive system Mathematics QA1-939 Electronic computers. Computer science QA75.5-76.95
Zdroj:	International Journal of Applied Mathematics and Computer Science, Vol 30, Iss 3, Pp 493-499 (2020)
Druh dokumentu:	article
ISSN:	2083-8492 49658425
DOI:	10.34768/amcs-2020-0036
Popis:	The global (absolute) stability of nonlinear systems with fractional positive and not necessarily asymptotically stable linear parts and feedbacks is addressed. The characteristics u = f(e) of the nonlinear parts satisfy the condition k1e ≤ f(e) ≤ k2e for some positive k1 and k2. It is shown that the fractional nonlinear systems are globally asymptotically stable if the Nyquist plots of the fractional positive linear parts are located on the right-hand side of the circles (−1/k1, −1/k2).
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/81b00ed6d49f49658425967390509445 Zobrazit plný text záznamu View record in DOAJ