Geodesic
The invariance principle for nonautonomous functional differential inclusions
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 1, pp. 271-284

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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.
Keywords: limiting functional differential inclusion, nonautonomous system, Lyapunov functional, invariance principle.
Mots-clés : quasi-invariant set 
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     author = {I. A. Finogenko},
     title = {The invariance principle for nonautonomous functional differential inclusions},
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I. A. Finogenko. The invariance principle for nonautonomous functional differential inclusions. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 1, pp. 271-284. http://geodesic.mathdoc.fr/item/TIMM_2014_20_1_a26/