Proximal analysis and feedback construction
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 6 (2000) no. 1, pp. 91-109
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For problems of stabilizability and state constrained optimal control, the proximal aiming technique of nonsmooth analysis is employed in order to construct discontinuous feedback laws with respect to a generalized solution concept for the underlying dynamics. These feedbacks are universal for prescribed sets of initial data and possess robustness properties with respect to state measurement errors and external disturbances.
@article{TIMM_2000_6_1_a5,
author = {F. H. Clarke and Yu. S. Ledyaev and R. J. Stern},
title = {Proximal analysis and feedback construction},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {91--109},
year = {2000},
volume = {6},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TIMM_2000_6_1_a5/}
}
F. H. Clarke; Yu. S. Ledyaev; R. J. Stern. Proximal analysis and feedback construction. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 6 (2000) no. 1, pp. 91-109. http://geodesic.mathdoc.fr/item/TIMM_2000_6_1_a5/