The invariance principle for nonautonomous functional differential inclusions

I. A. Finogenko

Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 1, pp. 271-284

Résumé

For nonautonomous functional differential inclusions, the notion of limiting functional differential inclusions is introduced, their properties are studied, invariance type properties of $\omega$-limiting sets of solutions are investigated, and an analog of the LaSalle invariance principle with the use of Lyapunov functionals with constant-sign derivative is established.

Détail

Keywords: limiting functional differential inclusion, nonautonomous system, Lyapunov functional, invariance principle.
Mots-clés : quasi-invariant set

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