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Lp-Stability of a Class of Volterra Systems

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posted on 2020-02-20, 09:37 authored by Anton van WykAnton van Wyk, Guanrong Chen
This paper presents some new and explicit stability results for Volterra systems from 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 for certain parameter values.

Funding

Carl and Emily Fuchs Foundation, South Africa

Hong Kong Research Grants Council under GRF Grant CityU11200317

History

Email Address of Submitting Author

mavanwyk@gmail.com

ORCID of Submitting Author

https://orcid.org/0000-0002-4519-1475

Submitting Author's Institution

The University of the Witwatersrand, Johannesburg, South Afriica & City University of Hong Kong, Hong Kong SAR, China

Submitting Author's Country

  • South Africa