Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 48, Issue 3, Pages 500-504Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2003.809167
Keywords
linear matrix inequalities (LMIs); parameter-dependent Lyapunov functions; parametric uncertainty; polytopic uncertainty; robust stability
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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.
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