Stability analysis of discrete-time general homogeneous systems

A.I. Doban, M. Lazar

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

1 Citation (Scopus)
171 Downloads (Pure)


In this paper, stability analysis of discrete-time homogeneous nonlinear dynamics is considered. In particular, necessary and sufficient conditions for semiglobal KL-stability are established. These conditions lead to equivalence between semiglobal KL-stability and semiglobal exponential stability of general homogeneous dynamics. Furthermore, systematic stability analysis methods based on solving optimization problems are developed. These methods are tractable even for homogeneous systems in state spaces of high dimensions.
Original languageEnglish
Title of host publicationProceedings of the IFAC 19th Triennial World Congress, 24-29 August 2014, Cape Town, South Africa
EditorsE. Boje, X. Xia
Publication statusPublished - 2014


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