Stability analysis of discrete-time general homogeneous systems

A.I. Doban; M. Lazar

doi:10.3182/20140824-6-ZA-1003.01468

Stability analysis of discrete-time general homogeneous systems

A.I. Doban
, M. Lazar

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

232 Downloads (Pure)

Abstract

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 language	English
Title of host publication	Proceedings of the IFAC 19th Triennial World Congress, 24-29 August 2014, Cape Town, South Africa
Editors	E. Boje, X. Xia
Pages	8642-8647
DOIs	https://doi.org/10.3182/20140824-6-ZA-1003.01468
Publication status	Published - 2014

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AU - Lazar, M.

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AB - 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.

U2 - 10.3182/20140824-6-ZA-1003.01468

DO - 10.3182/20140824-6-ZA-1003.01468

M3 - Conference contribution

SN - 978-3-902823-62-5

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BT - Proceedings of the IFAC 19th Triennial World Congress, 24-29 August 2014, Cape Town, South Africa

A2 - Boje, E.

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Stability analysis of discrete-time general homogeneous systems

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