Autor:	Vladimir F. Zadorozhny
Rok vydání:	2002
Předmět:	Lyapunov function Applied Mathematics Mathematical analysis Friedrichs extension Lyapunov exponent Singular point of a curve Dynamical system symbols.namesake symbols Lyapunov equation Lyapunov redesign Analysis Control-Lyapunov function Mathematics
Zdroj:	Applicable Analysis. 81:529-537
ISSN:	1563-504X 0003-6811
DOI:	10.1080/0003681021000004276
Popis:	By using the well-known Friedrichs extension and some a priori inequality, we obtain weak solutions of a Lyapunov equation. In particular, we show that the Lyapunov functions satisfying necessary and sufficient conditions in the domain of asymptotic stability of a singular point some dynamical system must be absolutely continuous.
Databáze:	OpenAIRE
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