Infinite-Dimensional Feedback Systems: the Circle Criterion and Input-to-State Stability
Jayawardhana, Bayu ; Logemann, Hartmut ; Ryan, Eugene P.
Commun. Inf. Syst., Tome 8 (2008) no. 1, p. 413-444 / Harvested from Project Euclid
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An input-to-state stability theory, which subsumes results of circle criterion type, is developed in the context of a class of infinite-dimensional systems. The generic system is of Lur’e type: a feedback interconnection of a well-posed infinite-dimensional linear system and a nonlinearity. The class of nonlinearities is subject to a (generalized) sector condition and contains, as particular subclasses, both static nonlinearities and hysteresis operators of Preisach type.
Publié le : 2008-05-15
Classification:  Absolute stability,  circle criterion,  hysteresis,  input-to-state stability,  well-posed infinite-dimensional systems 
@article{1241616527,
     author = {Jayawardhana, Bayu and Logemann, Hartmut and Ryan, Eugene P.},
     title = {Infinite-Dimensional Feedback Systems: the Circle Criterion and Input-to-State Stability},
     journal = {Commun. Inf. Syst.},
     volume = {8},
     number = {1},
     year = {2008},
     pages = { 413-444},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1241616527}
}

Jayawardhana, Bayu; Logemann, Hartmut; Ryan, Eugene P. Infinite-Dimensional Feedback Systems: the Circle Criterion and Input-to-State Stability. Commun. Inf. Syst., Tome 8 (2008) no. 1, pp.  413-444. http://gdmltest.u-ga.fr/item/1241616527/