# Robust Performance Analysis of Discrete-Time Periodic Systems

• Yoshio Ebihara
• Dimitri Peaucelle
• Denis Arzelier
Chapter
Part of the Communications and Control Engineering book series (CCE)

## Abstract

Chapter is dedicated to the analysis of discrete-time periodic systems by means of SV-LMIs. For that special case the SV-LMIs have interesting non-causal system interpretations. Similarly to the LTI case, SV-LMIs are effective for reducing the conservatism of the analysis results when dealing with discrete-time periodic systems affected by polytopic uncertainties.

## Keywords

Discrete-time Periodic Systems Robust Stability Analysis Polytopic Uncertainties Schur Stability Conservative Reduction
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## Authors and Affiliations

• Yoshio Ebihara
• 1
Email author
• Dimitri Peaucelle
• 2
• Denis Arzelier
• 2
1. 1.Department of Electrical EngineeringKyoto UniversityKyotoJapan
2. 2.Laboratory for Analysis and Architecture of Systems ScienceNational Centre for Scientific ResearchToulouseFrance