Estimation of the region of attraction by first order approximation

A.Y. Pogromsky; H. Nijmeijer

doi:10.1109/CDC.2000.912315

Estimation of the region of attraction by first order approximation

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

Abstract

Conditions are given that guarantee the convergence of arbitrary solutions of an autonomous dynamical system towards some equilibrium point of the system. The conditions are formulated in terms of matrix inequalities involving a variational equation. A connection with analytic estimates of the Hausdorff dimension of invariant compact sets is given

Original language	English
Title of host publication	Proceedings of the 39th IEEE conference on decision and control : December 12-15 2000, Sydney, Australia. Vol. 4
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	3865-3869
ISBN (Print)	0-7803-6638-7
DOIs	https://doi.org/10.1109/CDC.2000.912315
Publication status	Published - 2000

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10.1109/CDC.2000.912315

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title = "Estimation of the region of attraction by first order approximation",

abstract = "Conditions are given that guarantee the convergence of arbitrary solutions of an autonomous dynamical system towards some equilibrium point of the system. The conditions are formulated in terms of matrix inequalities involving a variational equation. A connection with analytic estimates of the Hausdorff dimension of invariant compact sets is given",

author = "A.Y. Pogromsky and H. Nijmeijer",

year = "2000",

doi = "10.1109/CDC.2000.912315",

language = "English",

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pages = "3865--3869",

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Estimation of the region of attraction by first order approximation. / Pogromsky, A.Y.; Nijmeijer, H.

Proceedings of the 39th IEEE conference on decision and control : December 12-15 2000, Sydney, Australia. Vol. 4. Piscataway : Institute of Electrical and Electronics Engineers, 2000. p. 3865-3869.

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

TY - GEN

T1 - Estimation of the region of attraction by first order approximation

AU - Pogromsky, A.Y.

AU - Nijmeijer, H.

PY - 2000

Y1 - 2000

N2 - Conditions are given that guarantee the convergence of arbitrary solutions of an autonomous dynamical system towards some equilibrium point of the system. The conditions are formulated in terms of matrix inequalities involving a variational equation. A connection with analytic estimates of the Hausdorff dimension of invariant compact sets is given

AB - Conditions are given that guarantee the convergence of arbitrary solutions of an autonomous dynamical system towards some equilibrium point of the system. The conditions are formulated in terms of matrix inequalities involving a variational equation. A connection with analytic estimates of the Hausdorff dimension of invariant compact sets is given

U2 - 10.1109/CDC.2000.912315

DO - 10.1109/CDC.2000.912315

M3 - Conference contribution

SN - 0-7803-6638-7

SP - 3865

EP - 3869

BT - Proceedings of the 39th IEEE conference on decision and control : December 12-15 2000, Sydney, Australia. Vol. 4

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

ER -

Estimation of the region of attraction by first order approximation

Abstract

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