Approximate Controllability of Semilinear Control System Using Tikhonov Regularization
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-23
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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 xτ at time τ>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.
American Psychological Association (APA)
Katta, Ravinder& Sukavanam, N.. 2017. Approximate Controllability of Semilinear Control System Using Tikhonov Regularization. International Journal of Differential Equations،Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1165813
Modern Language Association (MLA)
Katta, Ravinder& Sukavanam, N.. Approximate Controllability of Semilinear Control System Using Tikhonov Regularization. International Journal of Differential Equations No. 2017 (2017), pp.1-6.
https://search.emarefa.net/detail/BIM-1165813
American Medical Association (AMA)
Katta, Ravinder& Sukavanam, N.. Approximate Controllability of Semilinear Control System Using Tikhonov Regularization. International Journal of Differential Equations. 2017. Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1165813
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1165813