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Journal Articles IEEE Control Systems Letters Year : 2022

New Bounds for State Transition Matrices

Abstract

We address the problem of constructing matrix-valued interval observers for estimating state transition matrices for time-varying systems. We provide less conservative estimators than those in recent literature. We cover continuous-and discrete-time linear systems, under Metzler or nonnegativity conditions on the coefficient matrices. We show how to satisfy our Metzler conditions after simple changes of coordinates. We illustrate our method using a feedback stabilized underwater marine robotic dynamics with unknown control gains.
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hal-03891408 , version 1 (09-12-2022)

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Frederic Mazenc, Michael Malisoff. New Bounds for State Transition Matrices. IEEE Control Systems Letters, 2022, ⟨10.1109/LCSYS.2022.3173816⟩. ⟨hal-03891408⟩
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