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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2012 Volume 53, Number 1, Pages 213–221 (Mi smj2300)

On attraction and weak attraction for autonomous functional differential inclusions using multiple Lyapunov functionals

I. A. Finogenko

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk

Abstract: We consider the questions of attraction for autonomous functional differential inclusions using invariantly differentiable Lyapunov functionals of constant sign and a collection of auxiliary functionals enabling us to determine more exactly an attractor in the phase space of continuous functions.

Keywords: functional differential inclusion, Lyapunov–Krasovskiĭ functional, $\omega$-limit set, semi-invariant set, attraction, weak attraction.

UDC: 531.911.5

Received: 28.10.2010


 English version:
Siberian Mathematical Journal, 2012, 53:1, 174–181

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© Steklov Math. Inst. of RAS, 2025