6533b828fe1ef96bd12881b6

RESEARCH PRODUCT

Controllability and strong controllability of differential inclusions

Abderrahim Jourani

subject

Mathematics::Functional Analysis0209 industrial biotechnologyClass (set theory)Pure mathematicsApplied Mathematics010102 general mathematicsMathematical analysis02 engineering and technologySubderivative01 natural sciencesControllability020901 industrial engineering & automationDifferential inclusion0101 mathematicsAnalysisMathematics

description

Abstract In this paper, we prove sufficient conditions for controllability and strong controllability in terms of the Mordukhovich subdifferential for two classes of differential inclusions. The first one is the class of sub-Lipschitz multivalued functions introduced by Loewen–Rockafellar (1994) [10] . The second one, introduced recently by Clarke (2005) [18] , is the class of multivalued functions which are pseudo-Lipschitz and satisfy the so-called tempered growth condition. To do this, we establish an error bound result in terms of the Mordukhovich subdifferential outside Asplund spaces.

yearjournalcountryeditionlanguage
2012-02-01Nonlinear Analysis: Theory, Methods & Applications
https://doi.org/10.1016/j.na.2011.08.028