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

B Jayawardhana; Hartmut Logemann; Eugene P Ryan

doi:10.1137/070711323

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

B Jayawardhana, Hartmut Logemann, Eugene P Ryan

Research output: Contribution to journal › Article › peer-review

39 Citations (SciVal)

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 language	English
Pages (from-to)	1031-1054
Number of pages	24
Journal	SIAM Journal on Control and Optimization
Volume	48
Issue number	2
Early online date	6 Mar 2009
DOIs	https://doi.org/10.1137/070711323
Publication status	Published - 2009

Keywords

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

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10.1137/070711323

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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.",

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AU - Jayawardhana, B

AU - Logemann, Hartmut

AU - Ryan, Eugene P

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N2 - 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.

AB - 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.

KW - quantization

KW - hysteresis

KW - absolute stability

KW - circle criterion

KW - differential inclusions

KW - nonlinear systems

KW - input-to-state stability

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JF - SIAM Journal on Control and Optimization

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ER -

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

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Keywords

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