Remarks on Lyapunov-Krasovskii Functionals with Weak Decay Rates

Document Type

Conference Proceeding

Publication Title

IEEE International Conference on Control and Automation, ICCA

Publication Date

7-1-2019

Abstract

In the existing Lyapunov literature, the decay rate of a Lyapunov-Krasovskii functional along trajectories is commonly required to be comparable to the norm of the state variables (or output variables) over the delay interval. In this work we consider a class of Lyapunov-Krasovskii functionals whose decay rates along trajectories depend only on the current values of the state or output variables. We show that for one type of input-to-output stability property (which leads to input-to-state stability when the output and the state variables are the same), a Lyapunov-Krasovskii functional with the weaker decay rate will still be sufficient for the corresponding stability property.

First Page

21

Last Page

26

DOI

10.1109/ICCA.2019.8900018

ISSN

19483449

E-ISSN

19483457

ISBN

9781728111643

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