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


Reference:

Jayawardhana, B., Logemann, H. and Ryan, E. P., 2009. Input-to-state stability of differential inclusions with applications to hysteretic and quantized feedback systems. SIAM Journal on Control and Optimization (SICON), 48 (2), pp. 1031-1054.

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Official URL:

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

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.

Details

Item Type Articles
CreatorsJayawardhana, B., Logemann, H. and Ryan, E. P.
DOI10.1137/070711323
Uncontrolled Keywordsquantization, hysteresis, absolute stability, circle criterion, differential inclusions, nonlinear systems, input-to-state stability
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code14297

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