On the global exponential stability of a projected dynamical system for strongly pseudomonotone variational inequalities
On the global exponential stability of a projected dynamical system for strongly pseudomonotone variational inequalities
We investigate the global exponential stability of equilibrium solutions of a projected dynamical system for variational inequalities. Under strong pseudomonotonicity and Lipschitz continuity assumptions, we prove that the dynamical system has a unique equilibrium solution. Moreover, this solution is globally exponentially stable. Some examples are given to analyze the effectiveness of the theoretical results. The numerical results confirm that the trajectory of the dynamical system globally exponentially converges to the unique solution of the considered variational inequality. The results established in this paper improve and extend some recent works.
1625-1638
Ha, Nguyen Thi Thu
249855fe-0836-4280-8625-5f8ce5daf942
Strodiot, J. J.
dd5fc8de-1a1f-4128-a0ea-7403f2699f48
Vuong, Phan Tu
52577e5d-ebe9-4a43-b5e7-68aa06cfdcaf
1 October 2018
Ha, Nguyen Thi Thu
249855fe-0836-4280-8625-5f8ce5daf942
Strodiot, J. J.
dd5fc8de-1a1f-4128-a0ea-7403f2699f48
Vuong, Phan Tu
52577e5d-ebe9-4a43-b5e7-68aa06cfdcaf
Ha, Nguyen Thi Thu, Strodiot, J. J. and Vuong, Phan Tu
(2018)
On the global exponential stability of a projected dynamical system for strongly pseudomonotone variational inequalities.
Optimization Letters, 12 (7), .
(doi:10.1007/s11590-018-1230-5).
Abstract
We investigate the global exponential stability of equilibrium solutions of a projected dynamical system for variational inequalities. Under strong pseudomonotonicity and Lipschitz continuity assumptions, we prove that the dynamical system has a unique equilibrium solution. Moreover, this solution is globally exponentially stable. Some examples are given to analyze the effectiveness of the theoretical results. The numerical results confirm that the trajectory of the dynamical system globally exponentially converges to the unique solution of the considered variational inequality. The results established in this paper improve and extend some recent works.
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Accepted/In Press date: 10 January 2018
e-pub ahead of print date: 18 January 2018
Published date: 1 October 2018
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Local EPrints ID: 434644
URI: http://eprints.soton.ac.uk/id/eprint/434644
ISSN: 1862-4472
PURE UUID: fa5f3850-17f9-4c96-bfaa-98e6d10739fb
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Date deposited: 04 Oct 2019 16:30
Last modified: 16 Mar 2024 04:42
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Author:
Nguyen Thi Thu Ha
Author:
J. J. Strodiot
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