Simple LMIs for stabilization by using delays

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Dec 2016Publisher:IEEEJournal:2016 IEEE 55th Conference on Decision and Control (CDC)

Authors: Emilia Fridman; Leonid E. Shaikhet;

doi: 10.1109/cdc.2016.7798756

Simple LMIs for stabilization by using delays

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Abstract

It is well-known that the second-order systems that cannot be stabilized by a static output feedback without a damping term, may be stabilized by inserting an artificial time-delay in the feedback. The existing Lyapunov-based methods that may treat this case and that lead to stability conditions in terms of Linear Matrix Inequalities (LMIs) suffer from high-dimensionality of the resulting LMIs. In this paper we suggest simple Lyapunov functionals that lead to reduced-order LMIs with a small number of decision variables.

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Tel Aviv University
Israel

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