An example with interesting controllability and stabilisation properties

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Authors

Hirschorn, Ron M.
Lewis, Andrew D.

Date

2005

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preprint

Language

en

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Research Projects

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Abstract

A simple three-state system with two inputs is considered. The system's controllability is determined using properties of vector-valued quadratic forms. The quadratic structure is then used as the basis for the design of a homogeneous, discontinuous, stabilising feedback controller. The paper should be seen as an attempt to relate controllability of a system from a point to stabilisability of the system to the same point.

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