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Green’s function approach in approximate controllability for nonlinear physical processes

Department on Dynamics of Deformable Systems and Coupled Fields, Institute of Mechanics, NAS of Armenia, 24B Baghramyan Avenue, Yerevan 0019, Armenia

E-mail Address: ara.serg.avetisyan@gmail.com

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and

Asatur Zh. Khurshudyan

http://orcid.org/0000-0003-2037-8919

Department on Dynamics of Deformable Systems and Coupled Fields, Institute of Mechanics, NAS of Armenia, 24B Baghramyan Avenue, Yerevan 0019, Armenia

E-mail Address: khurshudyan@mechins.sci.am

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https://doi.org/10.1142/S0217732317300154Cited by:11 (Source: Crossref)

Abstract

Recently, Green’s function approach is used to approximate (initial) boundary value problems for nonlinear dynamical systems. Here, we use this approach for derivation of a simple criterion for approximate controllability of nonlinear dynamical systems. Simple and easy-to-check criteria on system parameters are derived for process controllability. Examples from existing references are considered.

Keywords:

PACS: 02.30.Yy, 45.80.+r

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