On a Topological Obstruction in the Reach Control Problem

Melkior Ornik () and Mireille E. Broucke ()
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Melkior Ornik: University of Toronto, Department of Electrical & Computer Engineering
Mireille E. Broucke: University of Toronto, Department of Electrical & Computer Engineering

A chapter in Mathematical and Computational Approaches in Advancing Modern Science and Engineering, 2016, pp 677-687 from Springer

Abstract: Abstract This paper explores aspects of the Reach Control Problem (RCP) to drive the states of an affine control system to a facet of a simplex without first exiting from other facets. In analogy with the problem of nonlinear feedback stabilization, we investigate a topological obstruction that arises in solving the RCP by continuous state feedback. The problem is fully solved in this paper for the case of two and three dimensions.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-30379-6_61

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DOI: 10.1007/978-3-319-30379-6_61

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