Lp-Stability of a Class of Volterra Systems

Michaël Antonie van Wyk; Guanrong Chen

doi:10.1109/TCSII.2019.2938105

L_p-Stability of a Class of Volterra Systems

Michaël Antonie van Wyk^*, Guanrong Chen

^*Corresponding author for this work

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

2 Citations (Scopus)

Abstract

This brief presents some new and explicit stability results for Volterra systems based on two different approaches. The first approach is based on monomial domination of the Volterra system's memoryless output nonlinearity and the second on its Lipschitz-norm. The former yields more widely applicable results, but introduces nonconvexity in the signal spaces to be dealt with for certain parameter values.

Original language	English
Pages (from-to)	1469-1471
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	67
Issue number	8
Online published	28 Aug 2019
DOIs	https://doi.org/10.1109/TCSII.2019.2938105
Publication status	Published - Aug 2020

Research Keywords

Lipschitz-norm
Lp-norm
nonconvex set
stability
Volterra series
Volterra system

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KW - Lipschitz-norm

KW - L-p-norm

KW - nonconvex set

KW - stability

KW - Volterra series

KW - Volterra system

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KW - MAPS

KW - Lipschitz-norm

KW - L-p-norm

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KW - Volterra series

KW - Volterra system

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KW - MAPS

KW - Lipschitz-norm

KW - Lp-norm

KW - nonconvex set

KW - stability

KW - Volterra series

KW - Volterra system

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L_p-Stability of a Class of Volterra Systems

Abstract

Research Keywords

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