Regularity of solutions of retarded equations and application to sensitivity of linear quadratic controllers to small delays

Papa Momar Ndiaye, Michel Sorine

Research output: Contribution to journalArticlepeer-review

Abstract

We analyze the behaviour of the solution of a linear differential equation of retarded type when the delays vary, for Lp initial conditions, given some p∈[1,∞]. First, we state continuity and differentiability results for the solution viewed as function of the delays. Those regularity results are applied to analyze the small delay sensitivity for quadratic performance index associated to stabilization with a finite dimensional a priori feedback.

Original languageEnglish
Pages (from-to)189-203
Number of pages15
JournalJournal of Mathematical Analysis and Applications
Volume245
Issue number1
DOIs
StatePublished - 2000

Fingerprint

Dive into the research topics of 'Regularity of solutions of retarded equations and application to sensitivity of linear quadratic controllers to small delays'. Together they form a unique fingerprint.

Cite this