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

42 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

Access to Document

10.1137/070711323

Cite this

@article{0312ea889f9c485ea7073ac985d883d3,

title = "Input-to-state stability of differential inclusions with applications to hysteretic and quantized feedback systems",

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",

author = "B Jayawardhana and Hartmut Logemann and Ryan, \{Eugene P\}",

year = "2009",

doi = "10.1137/070711323",

language = "English",

volume = "48",

pages = "1031--1054",

journal = "SIAM Journal on Control and Optimization",

issn = "0363-0129",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "2",

}

TY - JOUR

T1 - Input-to-state stability of differential inclusions with applications to hysteretic and quantized feedback systems

AU - Jayawardhana, B

AU - Logemann, Hartmut

AU - Ryan, Eugene P

PY - 2009

Y1 - 2009

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

UR - https://www.scopus.com/pages/publications/77951545339

UR - http://dx.doi.org/10.1137/070711323

U2 - 10.1137/070711323

DO - 10.1137/070711323

M3 - Article

SN - 0363-0129

VL - 48

SP - 1031

EP - 1054

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

IS - 2

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this