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An improved LMI condition for robust D-stability of uncertain polytopic systems

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2 Author(s)

A sufficient condition for robust D-stability of linear systems with polytope type uncertainties is proposed. The result is based on a linear parameter-dependent Lyapunov function obtained from the feasibility test of a set of linear matrix inequalities (LMIs) defined at the vertices of the polytope. This improved LMI condition encompasses previous results based on additional inequalities, as well as results based on extra variables.

Published in:

Automatic Control, IEEE Transactions on  (Volume:48 ,  Issue: 3 )

Date of Publication:

Mar 2003

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