ISS for Lur'e type systems with set-valued nonlinearities

Bayu Jayawardhana, Hartmut Logemann, Eugene P. Ryan

Research output: Chapter or section in a book/report/conference proceedingChapter in a published conference proceeding


Results of input-to-state stability (ISS) type for systems of Lur'e type are presented. The generic system is a feedback interconnection of a finite-dimensional linear system and a set-valued nonlinearity. An illustrative example is provided wherein the results are applied in the design of PID control in the presence of input quantization and nonlinearity.

Original languageEnglish
Title of host publication2009 European Control Conference (ECC) 2009
Number of pages5
ISBN (Print)9783952417393
Publication statusPublished - 2015
Event2009 10th European Control Conference, ECC 2009 - Budapest, UK United Kingdom
Duration: 23 Aug 200926 Aug 2009


Conference2009 10th European Control Conference, ECC 2009
Country/TerritoryUK United Kingdom


  • Absolute stability
  • Differential inclusions
  • Input-to-state stability
  • Nonlinear systems
  • PID control
  • Quantization


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