摘要：AbstractHomogeneous 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.
