On robust stability of time-variant discrete-time nonlinear systems with bounded parameter perturbations

D. P. Mandic; J. A. Chambers

doi:10.1109/81.828571

On robust stability of time-variant discrete-time nonlinear systems with bounded parameter perturbations

D. P. Mandic, J. A. Chambers

School of Computing Sciences

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

The upper and lower bounds for asymptotic stability (AS) of a time-variant discrete-time nonlinear system with bounded parameter perturbations are provided. The analysis is undertaken for a class of nonlinear relaxation systems with the saturation nonlinearity of sigmoid type. Based upon the theory of convex polytopes and underlying linear relaxation equation, the bounds of the stability region for such a nonlinear system are derived for every time instant

Original language	English
Pages (from-to)	185-188
Number of pages	4
Journal	IEEE Transactions on Circuits and Systems--I: Fundamental Theory and Applications
Volume	47
Issue number	2
DOIs	https://doi.org/10.1109/81.828571
Publication status	Published - 1999

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10.1109/81.828571

Cite this

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title = "On robust stability of time-variant discrete-time nonlinear systems with bounded parameter perturbations",

abstract = "The upper and lower bounds for asymptotic stability (AS) of a time-variant discrete-time nonlinear system with bounded parameter perturbations are provided. The analysis is undertaken for a class of nonlinear relaxation systems with the saturation nonlinearity of sigmoid type. Based upon the theory of convex polytopes and underlying linear relaxation equation, the bounds of the stability region for such a nonlinear system are derived for every time instant",

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AB - The upper and lower bounds for asymptotic stability (AS) of a time-variant discrete-time nonlinear system with bounded parameter perturbations are provided. The analysis is undertaken for a class of nonlinear relaxation systems with the saturation nonlinearity of sigmoid type. Based upon the theory of convex polytopes and underlying linear relaxation equation, the bounds of the stability region for such a nonlinear system are derived for every time instant

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DO - 10.1109/81.828571

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JO - IEEE Transactions on Circuits and Systems--I: Fundamental Theory and Applications

JF - IEEE Transactions on Circuits and Systems--I: Fundamental Theory and Applications

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