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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/9980
Title: Approximate Controllability of Semilinear Control System Using Tikhonov Regularization
Authors: Katta R.
Sukavanam, Nagarajan
Published in: International Journal of Differential Equations
Abstract: For an approximately controllable semilinear system, the problem of computing control for a given target state is converted into an equivalent problem of solving operator equation which is ill-posed. We exhibit a sequence of regularized controls which steers the semilinear control system from an arbitrary initial state x0 to an ϵ neighbourhood of the target state xÏ„ at time Ï„>0 under the assumption that the nonlinear function f is Lipschitz continuous. The convergence of the sequences of regularized controls and the corresponding mild solutions are shown under some assumptions on the system operators. It is also proved that the target state corresponding to the regularized control is close to the actual state to be attained. © 2017 Ravinder Katta and N. Sukavanam.
Citation: International Journal of Differential Equations (2017), 2017(): -
URI: https://doi.org/10.1155/2017/1684637
http://repository.iitr.ac.in/handle/123456789/9980
Issue Date: 2017
Publisher: Hindawi Limited
ISSN: 16879643
Author Scopus IDs: 56513724100
12804420600
Author Affiliations: Katta, R., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, 247667, India
Sukavanam, N., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, 247667, India
Funding Details: Ravinder Katta gratefully acknowledges the financial support of the University Grants Commission (UGC), New Delhi, India, for his research work.
Corresponding Author: Katta, R.; Department of Mathematics, Indian Institute of Technology RoorkeeIndia; email: kravidma@iitr.ac.in
Appears in Collections:Journal Publications [MA]

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