Robust positive invariance and ultimate boundedness of nonlinear systems

G. Bitsoris; M. Vassilaki; N. Athanasopoulos

doi:10.1109/MED.2012.6265703

Robust positive invariance and ultimate boundedness of nonlinear systems

G. Bitsoris, M. Vassilaki, N. Athanasopoulos

Control Systems

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

4 Citations (Scopus)

Abstract

In this article the problem of characterizing sets, described by vector nonlinear inequalities of the form v(x) = w, as robustly positively invariant and targets of uniformly ultimate bounded nonlinear systems is investigated. The class of general parameter uncertain continuous-time dynamical systems affected by exogenous disturbances is considered. The approach is based on establishing an associated monotone nonlinear comparison system. A numerical example is presented to illustrate the approach.

Original language	English
Title of host publication	Proceedings of the 2012 20th Mediterranean Conference on Control & Automation (MED), 3-6 July 2012, Barcelona, Spain
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	598-603
ISBN (Print)	978-1-4673-2529-5
DOIs	https://doi.org/10.1109/MED.2012.6265703
Publication status	Published - 2012

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10.1109/MED.2012.6265703

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title = "Robust positive invariance and ultimate boundedness of nonlinear systems",

abstract = "In this article the problem of characterizing sets, described by vector nonlinear inequalities of the form v(x) = w, as robustly positively invariant and targets of uniformly ultimate bounded nonlinear systems is investigated. The class of general parameter uncertain continuous-time dynamical systems affected by exogenous disturbances is considered. The approach is based on establishing an associated monotone nonlinear comparison system. A numerical example is presented to illustrate the approach.",

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Robust positive invariance and ultimate boundedness of nonlinear systems. / Bitsoris, G.; Vassilaki, M.; Athanasopoulos, N.
Proceedings of the 2012 20th Mediterranean Conference on Control & Automation (MED), 3-6 July 2012, Barcelona, Spain. Piscataway: Institute of Electrical and Electronics Engineers, 2012. p. 598-603.

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

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AU - Vassilaki, M.

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AB - In this article the problem of characterizing sets, described by vector nonlinear inequalities of the form v(x) = w, as robustly positively invariant and targets of uniformly ultimate bounded nonlinear systems is investigated. The class of general parameter uncertain continuous-time dynamical systems affected by exogenous disturbances is considered. The approach is based on establishing an associated monotone nonlinear comparison system. A numerical example is presented to illustrate the approach.

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M3 - Conference contribution

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Robust positive invariance and ultimate boundedness of nonlinear systems

Abstract

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