Asymptotic behaviour of reachable sets in the singularly perturbed control systems

Authors: Nguyen Ngoc Quoc Thuong
Journal: Quy Nhon University Journal of Science
Published: 2019/10/30
Volume/Issue: Vol. 13, Issue 5
Pages: 27-39

Abstract

The asymptotic behavior of the reachable set of the singularly perturbed control system is investigated. The level-set method is proposed to characterize the reachable set and also its limit. The viscosity solution characteristic of the limit value function associated to the limit control problem is also given.

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