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Journal of Computational and Engineering Mathematics, 2024, Volume 11, Issue 4, Pages 22–32
DOI: https://doi.org/10.14529/jcem240403 (Mi jcem268) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Computational Mathematics

The trajectory controllability of second order semi-linear systems using a functional analytic approach

V. Shaha, J. Sharmaa, M. E. Sameib, G. Trivedia

a The M. S. University of Baroda, Vadodara, India
b Bu-Ali Sina University, Hamedan, Iran
Full-text PDF (218 kB) Citations (2)
DOI: https://doi.org/10.14529/jcem240403
Abstract: This article examines the trajectory controllability (TC) of second-order evolution systems while taking impulses into account. A cosine family of operators produced by the linear component of the system, the integral version of Gronwall's inequality, and the idea of nonlinear functional analysis were used to describe the TC findings. Applications for finite- and infinite-dimensional systems of trajectory-controlled systems are given.
Keywords: trajectory controllability, Gronwall's inequality, lipschitz nonlinearity, nonlinear systems.
Received: 03.08.2024
Document Type: Article
UDC: 517.9, 519.216.2
MSC: 93B05, 34H05, 93C10, 93C15
Language: English
Citation: V. Shah, J. Sharma, M. E. Samei, G. Trivedi, “The trajectory controllability of second order semi-linear systems using a functional analytic approach”, J. Comp. Eng. Math., 11:4 (2024), 22–32
Citation in format AMSBIB
\Bibitem{ShaShaSam24}
\by V.~Shah, J.~Sharma, M.~E.~Samei, G.~Trivedi
\paper The trajectory controllability of second order semi-linear systems using a functional analytic approach
\jour J. Comp. Eng. Math.
\yr 2024
\vol 11
\issue 4
\pages 22--32
\mathnet{http://mi.mathnet.ru/jcem268}
\crossref{https://doi.org/10.14529/jcem240403}
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    • This publication is cited in the following 2 articles:
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