Necessary and sufficient conditions for global asymptotic stability of third-order conewise linear systems.
Published: 2006
Language: eng
Number of pages: 91
ISBN-13: 9780494211410
Description: In this thesis steps toward finding necessary and sufficient conditions for global asymptotic stability of a class of third-order linear switched systems called conewise linear systems are taken. The main analysis technique is to project the switched system dynamics on the sphere. Conditions for stability involve checking the radial change of trajectories of the conewise linear system over limit sets of its projection on the sphere, as well as ensuring it does not exhibit Zeno behaviour. In certain cases, the Zeno behaviour can be analyzed by first approximating the nonlinear dynamics of the projection on the sphere at a candidate Zeno point by first-order linear dynamics. In a particular case it is shown that if the approximated dynamics are Zeno, then so are the dynamics of the original conewise linear system. Conditions for asymptotic stability of third-order conewise linear systems with special properties are also given.
Notes: Source: Masters Abstracts International, Volume: 45-03, page: 1615.

Thesis (M.A.Sc.)--University of Toronto, 2006.

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