Lyapunov stability tests for linear time-delay systems

Published 25 Jul 2022 in math.DS, cs.SY, and eess.SY | (2207.12462v1)

Abstract: An overview of stability conditions in terms of the Lyapunov matrix for time-delay systems is presented. The main results and proof are presented in details for the case of systems with multiple delays. The state of the art, ongoing research and potential extensions to other classes of delay systems are discussed.

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