Conditions for l and l2 System Robustness for Spatially Invariant Systems

Azeem Sarwar, Petros G. Voulgaris

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We consider spatiotemporal systems and study their l and l2 robustness properties in the presence of spatiotemporal perturbations. In particular, we consider spatially invariant nominal models and provide necessary and sufficient conditions for system robustness when the underlying perturbations are linear time and spatially varying, unstructured and structured. It turns out that these conditions are analogous to the scaled small gain condition (which is equivalent to a spectral radius condition and an LMI for the l and l2 case respectively) derived for standard linear time invariant models subject to linear time varying perturbations.

Original languageEnglish (US)
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Pages836-841
Number of pages6
DOIs
StatePublished - Dec 1 2007
Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
Duration: Dec 12 2007Dec 14 2007

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other46th IEEE Conference on Decision and Control 2007, CDC
CountryUnited States
CityNew Orleans, LA
Period12/12/0712/14/07

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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