Homogeneous Generalisation of the Lur’e Problem and the Circle Criterion | Zendy

Emanuel Rocha | Zendy; Jaime A. Moreno | Zendy; Fernando Castaños | Zendy

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Homogeneous Generalisation of the Lur’e Problem and the Circle Criterion

Author(s) -

Emanuel Rocha,

Jaime A. Moreno,

Fernando Castaños

Publication year - 2018

Publication title -

ifac-papersonline

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.308

H-Index - 72

eISSN - 2405-8971

pISSN - 2405-8963

DOI - 10.1016/j.ifacol.2018.07.331

Subject(s) - homogeneous , mathematics , class (philosophy) , stability (learning theory) , set (abstract data type) , extension (predicate logic) , linear system , mathematical analysis , computer science , artificial intelligence , combinatorics , machine learning , programming language

Homogeneous systems are an interesting generalisation of the class of linear systems. On the one hand, many of the properties for which linear systems are useful in the analysis of more complex systems are shared by their homogeneous counterparts. On the other hand, they exhibit a considerably larger set of behaviours. In this article a generalisation of the Lur’e problem of absolute stability is presented as a result of an analysis on homogeneous systems. Moreover, a solution to this problem is introduced as the homogeneous extension of the circle criterion.

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