Input-to-state stability of differential inclusions with applications to hysteretic and quantized feedback systems

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26 Citations (Scopus)

Abstract

Input-to-state stability (ISS) of a class of differential inclusions is proved. Every system in the class is of Lur'e type: a feedback interconnection of a linear system and a set-valued nonlinearity. Applications of the ISS results, in the context of feedback interconnections with a hysteresis operator or a quantization operator in the feedback path, are developed.
Original languageEnglish
Pages (from-to)1031-1054
Number of pages24
JournalSIAM Journal on Control and Optimization
Volume48
Issue number2
Early online date6 Mar 2009
DOIs
Publication statusPublished - 2009

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Feedback Systems
Differential Inclusions
Feedback
Interconnection
Hysteresis Operators
Linear systems
Hysteresis
Quantization
Linear Systems
Nonlinearity
Path
Operator
Class

Keywords

  • quantization
  • hysteresis
  • absolute stability
  • circle criterion
  • differential inclusions
  • nonlinear systems
  • input-to-state stability

Cite this

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abstract = "Input-to-state stability (ISS) of a class of differential inclusions is proved. Every system in the class is of Lur'e type: a feedback interconnection of a linear system and a set-valued nonlinearity. Applications of the ISS results, in the context of feedback interconnections with a hysteresis operator or a quantization operator in the feedback path, are developed.",
keywords = "quantization, hysteresis, absolute stability, circle criterion, differential inclusions, nonlinear systems, input-to-state stability",
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KW - absolute stability

KW - circle criterion

KW - differential inclusions

KW - nonlinear systems

KW - input-to-state stability

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