Controllability of a Class of Nonlinear Networked Systems

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Main Authors:	Thomas, Aleena, Ajayakumar, Abhijith, George, Raju K.
Format:	Preprint
Published:	2024
Subjects:	Optimization and Control
Online Access:	Acceder al recurso
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_version_	1866917870376583168
author	Thomas, Aleena Ajayakumar, Abhijith George, Raju K.
author_facet	Thomas, Aleena Ajayakumar, Abhijith George, Raju K.
contents	Various controllability conditions have been obtained by researchers for heterogeneous networked systems with linear dynamics. However, the literature for nonlinear, heterogeneous networked systems is comparatively less. In this paper we analyse the controllabiity aspect of a nonlinearly perturbed linear networked system. The basic assumption is that the linear system is controllable and the nonlinear perturbation functions satisfy Holder continuity condition and in particular Lipschitz condition. The Boyd-Wong fixed point theorem is employed to prove controllability of the nonlinear system. The result is illustrated with numerical examples.
format	Preprint
id	arxiv_https___arxiv_org_abs_2412_12135
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Controllability of a Class of Nonlinear Networked Systems Thomas, Aleena Ajayakumar, Abhijith George, Raju K. Optimization and Control Various controllability conditions have been obtained by researchers for heterogeneous networked systems with linear dynamics. However, the literature for nonlinear, heterogeneous networked systems is comparatively less. In this paper we analyse the controllabiity aspect of a nonlinearly perturbed linear networked system. The basic assumption is that the linear system is controllable and the nonlinear perturbation functions satisfy Holder continuity condition and in particular Lipschitz condition. The Boyd-Wong fixed point theorem is employed to prove controllability of the nonlinear system. The result is illustrated with numerical examples.
title	Controllability of a Class of Nonlinear Networked Systems
topic	Optimization and Control
url	https://arxiv.org/abs/2412.12135

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